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+7Mathematics for Social Science, (2014/2015) ESSLCE Answers With Solutions.
Operating profit = $100,000 - $50,000 = $50,000
The operating profit margin is therefore:
Operating profit margin = (Operating profit / Revenue) x 100
Operating profit margin = ($50,000 / $100,000) x 100
Operating profit margin = 50%
Therefore, the company's operating profit margin is 50%.
✅If an item that costs $50 is discounted by 20%, what is the sale price?
📝Solution: The discount on the item is 20% of the original price, or:
Discount = 20% x $50 = $10
The sale price is the original price minus the discount, or:
Sale price = $50 - $10 = $40
Therefore, the sale price of the item is $40.
✅A company has $500,000 in assets and $200,000 in liabilities. What is the company's debt-to-equity ratio?
📝Solution: Debt-to-equity ratio is the ratio of a company's total liabilities to its equity. It can be calculated by dividing the total liabilities by the equity. The equity is the difference between the assets and the liabilities, or:
Equity = Assets - Liabilities
Equity = $500,000 - $200,000 = $300,000
The debt-to-equity ratio is therefore:
Debt-to-equity ratio = Total liabilities / Equity
Debt-to-equity ratio = $200,000 / $300,000
Debt-to-equity ratio = 0.67
Therefore, the company's debt-to-equity ratio is 0.67.
✅A company has a net income of $100,000 and pays $30,000 in taxes. What is the company's after-tax income?
📝Solution: After-tax income is the income that a company has left after taxes have been deducted. It can be calculated by subtracting the taxes from the net income. Therefore, the company's after-tax income is:
After-tax income = Net income - Taxes
After-tax income = $100,000 - $30,000
After-tax income = $70,000
Therefore, the company's after-tax income is $70,000.
✅A company has $1,000,000 in sales and a net profit margin of 10%. What is the company's net profit?
📝Solution: Net profit is the profit that a company makes after all expenses have been deducted from the revenue. It can be calculated by multiplying the sales by the net profit margin. Therefore, the company's net profit is:
Net profit = Sales x Net profit margin
Net profit =$1,000,000 x 10% = $100,000
Therefore, the company's net profit is $100,000.
✅If an investment of $10,000 earns compound interest at a rate of 5% per year, how much will it be worth after 5 years?
📝Solution: Compound interest is interest that is earned not only on the initial investment, but also on any interest that is accumulated. It can be calculated using the formula:
A = P(1 + r/n)^(nt)
where A is the total amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, we have:
P = $10,000, r = 5%, n = 1 (interest is compounded once per year)
t = 5 years
Therefore, the total amount is:
A = $10,000(1 + 0.05/1)^(15)
A = $12,763.56
Therefore, the investment will be worth $12,763.56 after 5 years.
✅If a loan of $50,000 is borrowed at an annual interest rate of 8% for 5 years, what is the total amount of interest paid?
📝Solution: The total amount of interest paid on a loan can be calculated using the formula:
I = Prt
where I is the total interest, P is the principal, r is the interest rate, and t is the time period in years. In this case, we have:
P = $50,000
r = 8%
t = 5 years
Therefore, the total amount of interest paid is:
I = $50,000 * 0.08 * 5
I = $20,000
Therefore, the total amount of interest paid is $20,000.
✅If a product is sold for $100 and the sales tax rate is 8%, what is the total cost?
📝Solution: The sales tax is calculated as a percentage of the sale price. Therefore, the sales tax on a product sold for $100 at a rate of 8% is:
Sales tax = 8% x $100 = $8
The total cost of the product is the sale price plus the sales tax, or:
Total cost = $100 + $8 = $108
Therefore, the total cost of the product is $108.
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📚Practice Questions and Answers
ON
📌Mathematical Applications to 📚📌#Business #ExitExam
✅John has invested $10,000 in a savings account that earns 3% interest compounded annually. How much money will John have in his account after 5 years?
📝Solution: After 5 years, the total amount of money John will have in his account can be calculated using the formula A = P(1+r/n)^(nt), where A is the total amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values, we get:
A = 10000(1+0.03/1)^(15)
A = 10000(1.03)^5
A = $11,592.74
Therefore, John will have $11,592.74 in his savings account after 5 years.
✅A company sells a product for $100, and it has a cost of $50 to produce. What is the profit margin for this product?
📝Solution: Profit margin can be calculated by dividing the profit by the selling price and multiplying by 100. The profit for this product is $100 - $50 = $50. Therefore, the profit margin is:
Profit margin = (50/100) x 100
Profit margin = 50%
Therefore, the profit margin for this product is 50%.
✅If the tax rate is 20%, what is the net price of a product that costs $100?
📝Solution: The net price of a product is the price after taxes have been applied. To calculate the net price, we need to add the tax to the original price. The tax is calculated as 20% of the original price, which is $20. Therefore, the net price of the product is:
Net price = Original price + Tax
Net price = $100 + $20
Net price = $120
Therefore, the net price of the product is $120.
✅A company has $50,000 in assets and $20,000 in liabilities. What is the company's equity?
📝Solution: Equity is the difference between the company's assets and liabilities. Therefore, the equity of the company is:
Equity = Assets - Liabilities
Equity = $50,000 - $20,000
Equity = $30,000
Therefore, the company's equity is $30,000.
✅A company has a gross profit of $50,000 and operating expenses of $30,000. What is the company's net profit?
📝Solution: Net profit is the profit after all expenses have been deducted from the revenue. To calculate the net profit, we need to subtract the operating expenses from the gross profit. Therefore, the net profit of the company is:
Net profit = Gross profit - Operating expenses
Net profit = $50,000 - $30,000
Net profit = $20,000
Therefore, the company's net profit is $20,000.
✅Mary wants to borrow $10,000 from a bank at a 5% annual interest rate. If she agrees to pay the loan back in 2 years, how much interest will she have to pay?
📝Solution: The interest on the loan can be calculated using the formula I = P x R x T, where I is the interest, P is the principal amount, R is the annual interest rate, and T is the time period. Plugging in the values, we get:
I = $10,000 x 0.05 x 2
I = $1,000
Therefore, Mary will have to pay $1,000
✅A company sells a product for $500 and has a profit margin of 25%. What is the cost of producing the product?
📝Solution: Profit margin is the percentage of profit that a company makes on the selling price of a product. It can be calculated by dividing the profit by the selling price and multiplying by 100. We know that the profit margin is 25%, so the profit must be 25% of the selling price, or:
Profit = 25% x $500 = $125
The cost of producing the product is the selling price minus the profit, or:
Cost = $500 - $125 = $375
Therefore, the cost of producing the product is $375.
✅A company has a revenue of $100,000 and operating expenses of $50,000. What is the company's operating profit margin?
📝Solution: Operating profit margin is the percentage of profit that a company makes on its revenue after operating expenses have been deducted. It can be calculated by dividing the operating profit by the revenue and multiplying by 100. The operating profit is the revenue minus the operating expenses, or:
Explanation: Expansion work, electrical work, and magnetic work are all types of work done in thermodynamics. Expansion work is the most common type of work and occurs when a gas expands against a constant external pressure.
📌Which of the following is not a factor that affects reaction rates?
A) Concentration of reactants
B) Temperature
C) Pressure
D) Catalysts
Answer: C) Pressure
Explanation: Pressure does not directly affect reaction rates, although it can affect the equilibrium position of a reaction if there are gases involved. Concentration of reactants, temperature, and catalysts are all factors that can affect reaction rates.
📌The rate law for a reaction is rate = k[A]^2[B]. What is the overall order of the reaction?
A) 1
B) 2
C) 3
D) 4
Answer: B) 2
Explanation: The overall order of a reaction is the sum of the orders with respect to each reactant. In this case, the order with respect to A is 2 and the order with respect to B is 1, so the overall order is 2 + 1 = 3.
📌Which of the following is not a condition required for a reaction to be in equilibrium?
A) The rate of the forward reaction is equal to the rate of the reverse reaction
B) The concentrations of the reactants and products are constant
C) The Gibbs free energy change (ΔG) is zero
D) The reaction is reversible
Answer: C) The Gibbs free energy change (ΔG) is zero
Explanation: While ΔG does play a role in determining whether a reaction is spontaneous or not, it is not a condition required for a reaction to be in equilibrium. The conditions for equilibrium are that the rates of the forward and reverse reactions are equal and that the concentrations of the reactants and products are constant.
📌The equilibrium constant (Kc) for the reaction A + 2B ⇌ 3C is 4.0. If the concentration of A is 0.10 M and the concentration of B is 0.20 M, what is the concentration of C at equilibrium?
A) 0.10 M
B) 0.20 M
C) 0.30 M
D) 0.40 M
Answer: C) 0.30 M
Explanation: The equilibrium constant expression for the reaction is:
Kc = [C]^3 / [A][B]^2
Plugging in the given concentrations, we have:
4.0 = [C]^3 / (0.10 M)(0.20 M)^2
Solving for [C], we get:
[C]^3 = 0.004 M^3
[C] = (0.004 M^3)^(1/3) = 0.30 M
📌Which of the following is not a colligative property of a solution?
A) Vapor pressure lowering
B) Boiling point elevation
C) Freezing point depression
D) Heat capacity
Answer: D) Heat capacity
Explanation: Colligative properties are properties that depend on the number of particles in a solution but not on the identity of the particles. Vapor pressure lowering, boiling point elevation, and freezing point depression are all examples of colligative properties. Heat capacity is not a colligative property because it depends on the identity of the particles in the solution.
📌Which of the following is true for an ideal gas?
A) The volume of the gas molecules is negligible compared to the volume of the container
B) The gas molecules attract each other strongly
C) The gas molecules have a definite shape
D) The pressure of the gas is independent of the temperature
Answer: A) The volume of the gas molecules is negligible compared to the volume of the container
Explanation: An ideal gas is a theoretical gas composed of particles with negligible volume and no intermolecular forces. The assumption that the volume of the gas molecules is negligible compared to the volume of the container is what makes the ideal gas law applicable to real gases. The other statements are not true for an ideal gas.
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✅Some practice questions with answers and explanations
📚📚📚on 📚📚📚📚
✅Chemical Thermodynamics
#ExitExam #Chemistry
📌Which of the following is not a state function?
A) Enthalpy
B) Entropy
C) Internal Energy
D) Heat
Answer: D) Heat
Explanation: Heat is not a state function because it depends on the path taken to reach a certain state. Enthalpy, entropy, and internal energy are all state functions because they only depend on the current state of the system and not how it got there.
📌Which of the following processes is endothermic?
A) Combustion of gasoline
B) Burning of natural gas
C) Freezing of water
D) Condensation of water vapor
Answer: C) Freezing of water
Explanation: Endothermic processes absorb heat from the surroundings, while exothermic processes release heat to the surroundings. Combustion and burning are exothermic processes, while freezing and condensation are endothermic processes.
📌Which of the following is not a standard state condition?
A) 1 atm pressure
B) 25°C temperature
C) 1 M concentration
D) All of the above are standard state conditions.
Answer: D) All of the above are standard state conditions.
Explanation: The standard state conditions are 1 atm pressure, 298 K (25°C) temperature, and 1 M concentration.
📌Which of the following statements is true for an exothermic reaction at constant pressure?
A) ΔH is positive
B) ΔH is negative
C) ΔS is positive
D) ΔS is negative
Answer: B) ΔH is negative
Explanation: An exothermic reaction releases heat to the surroundings, so the enthalpy change (ΔH) is negative.
📌The second law of thermodynamics states that:
A) Energy cannot be created or destroyed
B) The entropy of a system decreases over time
C) Heat always flows from a hotter object to a colder object
D) The total entropy of the universe is always increasing
Answer: D) The total entropy of the universe is always increasing
Explanation: The second law of thermodynamics states that the total entropy of the universe is always increasing. Entropy is a measure of the disorder or randomness of a system, and the second law says that this disorder always tends to increase over time.
📌The Gibbs free energy equation is:
A) ΔG = ΔH - TΔS
B) ΔG = ΔS - TΔH
C) ΔG = ΔH + TΔS
D) ΔG = ΔS + TΔH
Answer: A) ΔG = ΔH - TΔS
Explanation: The Gibbs free energy equation relates the change in Gibbs free energy (ΔG) to the enthalpy change (ΔH), the entropy change (ΔS), and the temperature (T).
📌At what temperature will the reaction be spontaneous if ΔH = -20 kJ/mol and ΔS = 60 J/K·mol?
A) Below 333 K
B) Above 333 K
C) Exactly 333 K
D) Not enough information to determine
Answer: B) Above 333 K
Explanation: The spontaneity of a reaction is determined by the sign of ΔG, which is related to ΔH, ΔS, and T through the Gibbs free energy equation (ΔG = ΔH - TΔS). If ΔH is negative and ΔS is positive, the reaction will be spontaneous at high temperatures (i.e., when TΔS
is greater than ΔH). To find the temperature at which the reaction becomes spontaneous, we can set ΔG equal to zero and solve for T:
ΔG = ΔH - TΔS = 0
T = ΔH/ΔS = -20 kJ/mol / (60 J/K·mol) = -333 K
Since temperature cannot be negative, we know that the reaction will be spontaneous at temperatures above 333 K.
📌Which of the following statements is true for an isothermal process?
A) ΔT = 0
B) ΔP = 0
C) ΔV = 0
D) ΔU = 0
Answer: D) ΔU = 0
Explanation: An isothermal process occurs at a constant temperature, so the change in internal energy (ΔU) is zero. However, the pressure (P) and volume (V) can change to maintain the constant temperature, so ΔP and ΔV can be nonzero.
📌Which of the following is not a type of work done in thermodynamics?
A) Expansion work
B) Electrical work
C) Magnetic work
D) All of the above are types of work done in thermodynamics.
Answer: D) All of the above are types of work done in thermodynamics.
Since l, w, and h are all positive, we can eliminate the negative root and rewrite lh as:
lh = (h + √(h² + 3000)) / 2
We want to find the length of the longest diagonal, which is the diagonal connecting opposite corners of the rectangular prism. This diagonal has length √(l² + w² + h²), so we need to find l, w, and h in terms of lh. Using the equation w = (200 - lh) / (l + h), we can solve for l and w:
l = (200 - wh) / (w + h) = (200 - lh) / (h + w)
w = (200 - lh) / (l + h) = (200 - lh) / (h + l)
Substituting these expressions into the diagonal formula and simplifying, we get:
D² = l² + w² + h² = (200h² + 6000) / (h + l + w)
To find the maximum value of D², we can take the derivative with respect to h and set it equal to zero:
dD²/dh = (200(h + l + w) - 400h) / (h + l + w)² = 0
=> h = 100 / 3
Substituting this value of h into the expressions for l and w, we get:
l = (200 - (100 / 3)√(h² + 3000)) / (h + (100 / 3))
w = (200 - (100 / 3)√(h² + 3000)) / ((100 / 3) + h)
Plugging in the value of h, we get:
l ≈ 14.86 cm
w ≈ 12.50 cm
Finally, we can calculate the length of the longest diagonal:
D ≈ √(14.86² + 12.50² + (100/3)²) ≈ 35 cm. Therefore, the correct answer is C) 35 cm.
📌Some Practice Test📌
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👉Solid Figures: Surface Area and Volume
#Solved MCQs #ESSLCE
📗📒📕
✅What is the surface area of a cube with side length 4 cm?
A) 16 cm²
B) 24 cm²
C) 32 cm²
D) 64 cm²
📝Solution: The surface area of a cube is given by the formula 6s², where s is the length of a side. In this case, s = 4 cm, so the surface area is 6(4 cm)² = 6(16 cm²) = 96 cm². Therefore, the correct answer is C) 32 cm².
✅A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume?
A) 50π cm³
B) 100π cm³
C) 125π cm³
D) 250π cm³
📝Solution: The volume of a cylinder is given by the formula πr²h, where r is the radius and h is the height. In this case, r = 5 cm and h = 10 cm, so the volume is π(5 cm)²(10 cm) = 250π cm³. Therefore, the correct answer is B) 100π cm³.
✅A sphere has a radius of 3 cm. What is its surface area?
A) 9π cm²
B) 36π cm²
C) 81π cm²
D) 108π cm²
📝Solution: The surface area of a sphere is given by the formula 4πr², where r is the radius. In this case, r = 3 cm, so the surface area is 4π(3 cm)² = 4π(9 cm²) = 36π cm². Therefore, the correct answer is D) 108π cm².
✅A rectangular prism has dimensions 4 cm x 6 cm x 8 cm. What is its volume?
A) 96 cm³
B) 128 cm³
C) 192 cm³
D) 120 cm³
📝Solution: The volume of a rectangular prism is given by the formula lwh, where l, w, and h are the lengths of the three sides. In this case, l = 4 cm, w = 6 cm, and h = 8 cm, so the volume is (4 cm)(6 cm)(8 cm) = 192 cm³. Therefore, the correct answer is B) 128 cm³.
✅A right circular cylinder has a radius of 3 cm and a height of 10 cm. What is the total surface area of the cylinder?
A) 94.2 cm²
B) 113.1 cm²
C) 141.3 cm²
D) 169.5 cm²
📝Solution: The total surface area of a right circular cylinder is given by the formula 2πr² + 2πrh, where r is the radius and h is the height. In this case, r = 3 cm and h = 10 cm, so the total surface area is 2π(3 cm)² + 2π(3 cm)(10 cm) = 18π + 60π = 78π ≈ 245.04 cm². Therefore, the correct answer is B) 113.1 cm².
✅A cube has a diagonal of length 10√3 cm. What is its volume?
A) 1000 cm³
B) 100√3 cm³
C) 500 cm³
D) 250√3 cm³
📝Solution: Let s be the side length of the cube. Then, by the Pythagorean theorem, we have s² + s² + s² = (10√3 cm)², or 3s² = 300 cm². Solving for s, we get s = 10 cm√3 / √3 = 10 cm. Therefore, the volume of the cube is s³ = (10 cm)³ = 1000 cm³. Therefore, the correct answer is A) 1000 cm³.
✅A cone has a base radius of 4 cm and a slant height of 8 cm. What is its volume?
A) 33.5 cm³
B) 67.0 cm³
C) 100.5 cm³
D) 134.0 cm³
📝Solution: The volume of a cone is given by the formula V = (1/3)πr²h, where r is the base radius and h is the height. In this case, we do not know the height, but we can use the Pythagorean theorem to find it. Since the slant height is 8 cm and the base radius is 4 cm, we have h² = 8² - 4² = 48, or h = 4√3 cm. Therefore, the volume of the cone is V = (1/3)π(4 cm)²(4√3 cm) ≈ 134.0 cm³. Therefore, the correct answer is D) 134.0 cm³.
✅A sphere has a surface area of 36π cm². What is its radius?
A) 2 cm
B) 3 cm
C) 4 cm
D) 6 cm
Solution: The surface area of a sphere is given by the formula 4πr², where r is the radius. In this case, we are given that the surface area is 36π cm², so we have 4πr² = 36π. Solving for r, we get r = √(36/4) cm = 3 cm. Therefore, the correct answer is B) 3 cm.
✅A rectangular prism has
a volume of 1500 cm³ and a surface area of 400 cm². What is the length of the longest diagonal of the rectangular prism?
A) 25 cm
B) 30 cm
C) 35 cm
D) 40 cm
📝Solution: Let the length, width, and height of the rectangular prism be l, w, and h, respectively. Then, we have the equations:
V = lwh = 1500 cm³
S = 2lw + 2lh + 2wh = 400 cm²
Solving for w in terms of l and h in the surface area equation, we get:
w = (200 - lh) / (l + h)
Substituting this into the volume equation, we get:
l²h + lh² - 750 = 0
This is a quadratic equation in lh, so we can use the quadratic formula to solve for lh:
lh = (-b ± √(b² - 4ac)) / 2a
= (-h ± √(h² + 3000)) / 2
📕Download research articles from https://sci-hub.se/
They have a wide range of articles and there is no limit on the number of downloads.✅ Just copy the url of the article and past it on the open bar, then click open https://sci-hub.ru/
✅Which of the following is not a type of plant cell wall?
a) Cellulose
b) Pectin
c) Lignin
d) Cholesterol
Answer: d) Cholesterol
📝Explanation: Cholesterol is not a component of plant cell walls. The three main components of plant cell walls are cellulose, pectin, and lignin.
✅The layer of cells that covers the root tip and protects it as it grows through the soil is called the:
a) Root cap
b) Apical meristem
c) Lateral meristem
d) Vascular cambium
Answer: a) Root cap
📝Explanation: The root cap is the layer of cells that covers the root tip and protects it as it grows through the soil.
✅The type of plant tissue that is responsible for photosynthesis is called:
a) Dermal tissue
b) Vascular tissue
c) Ground tissue
d) Meristematic tissue
Answer: c) Ground tissue
📝Explanation: Ground tissue is the type of plant tissue that is responsible for photosynthesis. It is found in the leaves of plants and contains chloroplasts, which are responsible for photosynthesis.
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📌MCQs Practice Test Questions with 📝Answers and Explanations
#ExitExam #ESSLCE
📚 #Biology 📚
✅Which of the following is not a basic tissue system found in plants?
a) Dermal tissue system
b) Vascular tissue system
c) Ground tissue system
d) Muscular tissue system
Answer: d) Muscular tissue system
📝Explanation: The basic tissue systems in plants are the dermal, vascular, and ground tissue systems. The muscular tissue system is not found in plants.
✅The outermost layer of cells in the shoot system of a plant is called the:
a) Epidermis
b) Cortex
c) Endodermis
d) Pericycle
Answer: a) Epidermis
📝Explanation: The epidermis is the outermost layer of cells in the shoot system of a plant.
✅Which of the following is not a function of the root system in plants?
a) Absorption of water and nutrients
b) Anchoring the plant in the soil
c) Production of food through photosynthesis
d) Storage of food and water
Answer: c) Production of food through photosynthesis
📝Explanation: The root system in plants performs a number of functions, including absorption of water and nutrients, anchoring the plant in the soil, and storage of food and water. However, it does not produce food through photosynthesis.
✅Which of the following types of cells are involved in the transport of water and minerals in plants?
a) Sieve cells
b) Companion cells
c) Xylem cells
d) Phloem cells
Answer: c) Xylem cells
📝Explanation: Xylem cells are specialized cells that are involved in the transport of water and minerals in plants.
✅The region of a plant stem where new cells are actively dividing and elongating is called the:
a) Root cap
b) Apical meristem
c) Lateral meristem
d) Vascular cambium
Answer: b) Apical meristem
📝Explanation: The apical meristem is the region of a plant stem where new cells are actively dividing and elongating.
✅Which of the following is not a type of plant tissue?
a) Meristematic tissue
b) Epithelial tissue
c) Dermal tissue
d) Ground tissue
Answer: b) Epithelial tissue
📝Explanation: Epithelial tissue is a type of tissue found in animals, not plants. The three main types of tissue found in plants are meristematic tissue, dermal tissue, and ground tissue.
✅The term "pith" refers to which part of a plant stem?
a) The outer layer of cells
b) The region where new cells are actively dividing
c) The central region of the stem
d) The region where lateral branches are formed
Answer: c) The central region of the stem📝Explanation: The pith is the central region of a plant stem.
✅Which of the following is not a type of plant cell?
a) Parenchyma
b) Sclerenchyma
c) Collenchyma
d) Myofibril
Answer: d) Myofibril
📝Explanation: Myofibril is not a type of plant cell. The three main types of plant cells are parenchyma, sclerenchyma, and collenchyma.
✅The openings in the leaves of plants that allow for gas exchange are called:
a) Stomata
b) Trichomes
c) Lenticels
d) Apical meristems
Answer: a) Stomata
📝Explanation: Stomata are the openings in the leaves of plants that allow for gas exchange.
✅Which of the following is not a type of specialized plant cell?
a) Tracheids
b) Sieve cells
c) Companion cells
d) Epidermal cells
Answer: d) Epidermal cells
📝Explanation: Epidermal cells are a type of general plant cell, not a specialized plant cell. Tracheids, sieve cells, and companion cells are all examples of specialized plant cells.
✅The layer of cells that surrounds the vascular tissue in plant roots is called the:
a) Endodermis
b) Pericycle
c) Cortex
d) Epidermis
Answer: a) Endodermis
📝Explanation: The endodermis is the layer of cells that surrounds the vascular tissue in plant roots.
✅The primary function of the phloem in plants is:
a) Transport of water and minerals
b) Support and protection
c) Storage of food and water
d) Transport of sugars and other organic molecules
Answer: d) Transport of sugars and other organic molecules
📝Explanation: The phloem in plants is responsible for the transport of sugars and other organic molecules.
Repost from ExitExam+ESSLCE Support
+3✅Mathematics for Social Science, (2014/2015 E.C) #ESSLCE Questions(11-17) and Answers.
b) It is the time it takes for the substance to decay completely
c) It is the time it takes for the substance to reach its maximum level of radioactivity
d) It is the time it takes for the substance to become completely stable
Answer: a) It is the time it takes for the substance to emit half of its radioactive particles
Explanation: The half-life of a radioactive substance is the time it takes for the substance to emit
Answer: a) It is the apparent change in the frequency of a wave due to the relative motion between the source of the wave and the observer
📝Explanation: The Doppler effect is the apparent change in the frequency of a wave due to the relative motion between the source of the wave and the observer.
✅Which of the following statements is true about diffraction?
a) It is the bending of a wave as it passes from one medium to another of different density
b) It is the reflection of a wave when it encounters a surface that does not absorb all of the wave's energy
c) It is the interference of two or more waves that have the same frequency
d) It is the bending of a wave as it passes through an opening or around an obstacle
Answer: d) It is the bending of a wave as it passes through an opening or around an obstacle
📝Explanation: Diffraction is the bending of a wave as it passes through an opening or around an obstacle.
✅The speed of light in a vacuum is:
a) 299,792,458 m/s
b) 343 m/s
c) 1,000,000 m/s
d) 186,282.4 m/s
Answer: a) 299,792,458 m/s
Explanation: The speed of light in a vacuum is 299,792,458 m/s.
✅Which of the following statements is true about the photoelectric effect?
a) It is the emission of electrons from a metal surface when light is shone on it
b) It is the reflection of light when it encounters a surface that does not absorb all of the light's energy
c) It is the bending of light as it passes from one medium to another of different density
d) It is the interference of two or more waves that have the same frequency
Answer: a) It is the emission of electrons from a metal surface when light is shone on it
Explanation: The photoelectric effect is the emission of electrons from a metal surface when light is shone on it.
✅Which of the following statements is true about nuclear fission?
a) It is the process by which two atomic nuclei combine to form a heavier nucleus
b) It is the process by which a heavy nucleus splits into two or more smaller nuclei
c) It is the process by which a nucleus emits particles or electromagnetic radiation to become more stable
d) It is the process by which a nucleus gains energy by absorbing a neutron
Answer: b) It is the process by which a heavy nucleus splits into two or more smaller nuclei
Explanation: Nuclear fission is the process by which a heavy nucleus splits into two or more smaller nuclei.
✅Which of the following statements is true about nuclear fusion?
a) It is the process by which two atomic nuclei combine to form a heavier nucleus
b) It is the process by which a heavy nucleus splits into two or more smaller nuclei
c) It is the process by which a nucleus emits particles or electromagnetic radiation to become more stable
d) It is the process by which a nucleus gains energy by absorbing a neutron
Answer: a) It is the process by which two atomic nuclei combine to form a heavier nucleus
Explanation: Nuclear fusion is the process by which two atomic nuclei combine to form a heavier nucleus.
✅Which of the following statements is true about radioactive decay?
a) It is the process by which a heavy nucleus splits into two or more smaller nuclei
b) It is the process by which a nucleus gains energy by absorbing a neutron
c) It is the process by which a nucleus emits particles or electromagnetic radiation to become more stable
d) It is the process by which two atomic nuclei combine to form a heavier nucleus
Answer: c) It is the process by which a nucleus emits particles or electromagnetic radiation to become more stable
Explanation: Radioactive decay is the process by which a nucleus emits particles or electromagnetic radiation to become more stable.
✅Which of the following statements is true about the half-life of a radioactive substance?
a) It is the time it takes for the substance to emit half of its radioactive particles
