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9bii) Slope = ∆F/∆e Point 1: (Extension = 10.0 cm, Force = 2.0 N) Point 2: (Extension = 30.0 cm, Force = 6.0 N) S = (6.0-2.0)/(30.0-10.0) S = 4.0/20.0 S = 0.2N/cm (9biii) The slope represents the spring constant k, indicating the stiffness of the spring. (9c) Given: Mass (m) = 40 g = 0.04 kg Elastic constant (k) = 350 N/m Extension (x) = 4 cm = 0.04 m Elastic potential energy stored in the rubber(E) = (1/2)kx² = (1/2) × 35 × (0.04)² (1/2) × 35 × 0.0016 = 0.28 J This energy is converted to kinetic energy of the stone: K = (1/2)mv² = E (1/2)mv² = 0.28 J (1/2) × 0.04 × v² = 0.28 v² = (2 × 0.28)/0.04 v² = 14 v = √14 v = 3.74 m/s (9d) (i) Bulk modulus Bulk modulus is a measure of a material's resistance to compression under uniform pressure. (ii) Energy gained by the wire Given: Mass (m) = 2.5g = 0.0025kg Extension (x) = 2cm = 0.02m g = 10m/s² Force (F) = mg = 0.0025 × 10 = 0.025N Energy gained (E) = (1/2)Fx = (1/2) × 0.025 × 0.02 = 2.5 × 10⁻⁴ J Join my telegram channel 👇👇👇 https://t.me/ExamkeyNet

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Irs Obj 01-10 BBDBAAABAA 11-20 BBCBDABBAC 21-30 CADAAAACCC 31-40 CCCBCCCBCC Completed.!!!!!

CRS OBJ: 1-10: ABBCBABDCA 11-20: CBABBABDBA 21-30: DCCABBBDBC 31-40: DCABCADDDD 41-50: AADCACCADB *DONE AND DUSTED*

*WAEC CRS THEORY ANSWER* *NUMBER THREE* (3a) The story of Amos and Amaziah is found in Amos 7:10–17. It happened during the time of King Jeroboam II, when Israel was doing well economically but was deeply corrupt. People were worshiping idols, treating the poor unfairly, and turning away from God. So, God sent Amos, a prophet from the southern kingdom of Judah, to warn Israel about the judgment that was coming because of their sins. Amaziah was a priest at Bethel, one of Israel’s main places of worship—but sadly, it had become a center for idol worship, especially of a golden calf. When Amaziah heard Amos’ warnings about God’s judgment and Israel’s coming destruction, he got worried. Amos was boldly saying that Israel would fall and the people would be taken into exile. Amaziah saw Amos as a threat—not just to religion but to the whole nation’s peace and the king’s authority. So, Amaziah sent a message to King Jeroboam, accusing Amos of speaking against the king and causing trouble. Then, he went to Amos and told him to leave Israel and go back to Judah. He basically said, “Go home and preach there—we don’t want you prophesying here in Bethel, because this place belongs to the king.” But Amos didn’t back down. He told Amaziah that he wasn’t a prophet because he chose to be one. He said he was just a shepherd and someone who cared for sycamore trees—until God called him and told him to speak to Israel. His authority didn’t come from any religious group—it came straight from God. Then Amos gave Amaziah a strong warning from God: his wife would become a prostitute, his children would be killed, his land would be taken, and he himself would die in a foreign land. It was a heavy message showing how serious it is to reject God’s word and try to silence His messenger. In the end, Amos didn’t stop. Even with opposition from powerful people like Amaziah, he stayed faithful to his mission. This whole event shows the struggle between God’s true message and a religious system that had gone corrupt—and how God still speaks, even through ordinary people, to call His people back to Him. (3b) From the story of Amos and Amaziah in Amos 7:10–17, we can see that there were serious problems in Israel’s society at the time—things that went against God’s will and needed to be corrected. First, the people were deeply involved in idolatry. Bethel, where Amaziah was a priest, had become a place where a golden calf was worshiped instead of the true God. This idol was set up by King Jeroboam I so that people wouldn’t travel to Jerusalem to worship. But this was completely against God’s command to worship Him alone. Amos spoke strongly against this, and it was clear that God was angry about this false worship. Second, there was a serious problem with rejecting God’s truth. Amaziah tried to force Amos to stop preaching and leave the land. This shows how the people and leaders didn’t want to hear the truth from God. They wanted to protect their comfort, power, and religious system, even if it meant ignoring what God was saying. But silencing God’s messengers only made things worse, because it kept people from hearing the truth and repenting. Third, there was corruption among religious leaders. Amaziah wasn’t just any man—he was a priest. Yet, instead of serving God faithfully, he supported a system that pleased the king and served political interests. Amos’ message—and other parts of the book—show that leaders were unfair to the poor, accepted bribes, and twisted justice. Amaziah called Bethel “the king’s sanctuary,” showing he cared more about politics than God’s truth. This kind of leadership failed the people and led them further from God. In short, Amos’ encounter with Amaziah shows us three big problems that needed to be condemned: idol worship, rejecting God’s message, and corrupt leadership. These sins brought God’s judgment, and the people needed to turn away from them to get back on the right path with God.

*CRK ANSWER* (3a) According to the Bible, the events that unfolded in Judah after the death of King Josiah and led to the first deportation of the Jews are described in the books of 2 Kings, 2 Chronicles, and the writings of the prophet Jeremiah. After the righteous reign of King Josiah, his son Jehoahaz became king. However, he did evil in the sight of the Lord, and Pharaoh Neco of Egypt deposed him after only three months, placing Jehoahaz's brother Jehoiakim on the throne. Jehoiakim, unlike his father, turned away from the ways of God. He embraced idolatry and led the people of Judah into wickedness. He defied the commands of God and rejected the prophet Jeremiah's warnings of impending judgment. During Jehoiakim's reign, the Babylonian Empire, under the rule of King Nebuchadnezzar, rose to power. Jehoiakim initially served as a vassal king to Babylon, paying tribute to maintain his position. However, Jehoiakim eventually rebelled against Babylonian rule. As a result, Nebuchadnezzar sent Chaldean, Aramean, Moabite, and Ammonite troops to invade Judah. Jerusalem was besieged, and Jehoiakim died during the conflict. Jehoiakim's son, Jehoiachin, succeeded him as king but reigned for only three months and ten days before he too was captured by Nebuchadnezzar's forces. Along with many of the leading citizens, Jehoiachin was taken into exile in Babylon. This marked the first deportation of the Jews, as thousands of captives from Judah were carried away to Babylon, including royal family members, skilled artisans, and military personnel. The treasures of the Temple in Jerusalem were also plundered and taken to Babylon. These events fulfilled the prophecies of Jeremiah, who had warned of the coming judgment and captivity of Judah due to their disobedience and idolatry. The exile in Babylon would last for seventy years, as God had foretold through the prophet Jeremiah. (3b) (PICK ANY FOUR) (i) High levels of economic inequality, where a significant portion of the population faces poverty, unemployment, or lack of basic resources, can lead to social tensions and unrest. (ii) Widespread corruption, lack of transparency, and abuse of power by government officials can erode public trust and lead to civil unrest. (iii) Deep-seated divisions based on ethnicity, religion, or race can escalate into civil unrest if not addressed properly. (iv) Violations of human rights, such as police brutality, extrajudicial killings, or arbitrary detentions, can ignite widespread anger and fuel civil unrest. (v) Weak or unstable governance structures, frequent changes in leadership, or ineffective governance can create an environment for civil unrest. (vi) Severe economic downturns, high unemployment rates, or economic crises can significantly contribute to civil unrest. (vii) Inadequate access to basic services, such as healthcare, education, clean water, or sanitation, can generate public dissatisfaction and unrest.

CRS NUMBER 4 (4a) Matthew 17:17, where Jesus is speaking about the condition of people who are stubborn or unwilling to listen to God’s guidance. This particular incident occurred after Jesus’ transfiguration, when He came down from the mountain with Peter, James, and John. They encountered a crowd of people, including a father whose son was possessed by a demon that caused him to experience seizures and extreme suffering. The father had brought the boy to Jesus’ disciples, but they couldn’t heal him. So, in desperation, the father brought the child to Jesus, saying, “Lord, have mercy on my son, for he is an epileptic and suffers terribly. He often falls into the fire or into the water.” Jesus, frustrated by the lack of faith and understanding among the people, made the statement, “O faithless and perverse generation, how long shall I be with you? How long shall I bear with you?” He then healed the child, and the demon left the boy. This miracle was a demonstration of Jesus’ power and authority, showing that faith in Him and submission to God’s will are essential for healing and deliverance. (4b) (i) Peace and Assurance: Submitting to God’s will brings a sense of peace and contentment, knowing that God’s plan is ultimately for their good. As Christians trust God’s wisdom and timing, they experience a deep inner peace that surpasses understanding (Philippians 4:7). (ii) Spiritual Growth and Transformation: When Christians align themselves with God’s will, they open themselves up to spiritual growth. Submission allows for the work of the Holy Spirit to transform them, making them more Christ-like and helping them to live according to God’s perfect plan for their lives (Romans 12:2). (iii) Purpose and Fulfillment: Submitting to God’s will helps Christians find their true purpose in life. By following God’s guidance, they live in alignment with His intentions, which leads to a fulfilling and meaningful life. Jesus himself said, “For whoever does the will of my Father in heaven is my brother and sister and mother” (Matthew 12:50), emphasizing that fulfilling God’s will gives one a deep sense of belonging and purpose.

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(10b) Given: Length (L) = 40 cm = 0.4 m End correction (e) = 3.2 cm = 0.032 m Velocity of sound (v) = 330 m/s Effective length = L + e = 0.4 + 0.032 = 0.432m Wave length (λ)= 4Leff λ = 4×0.432 = 1.728m Frequency (f) = v/λ= = 330/1.728 = 191Hz (10ci) Given: n = 8 n = 360° / β - 1 360° / β = n + 1 360° / β = 8 + 1 360° / β = 9 β = 360° / 9 β = 40° (10cii) (i) Mirage involves refraction and total internal reflection in air, while total internal reflection occurs at a medium boundary. (ii) Mirage produces an inverted image, while total internal reflection produces a mirror-like reflection. (10ciii) Given: f₀ = 3 cm, fe = 6 cm, L = 20 cm v₀ = L - fe = 20 - 6 = 14 cm 1/f₀ = 1/v₀ - 1/u₀ 1/3 = 1/14 - 1/u₀ 1/u₀ = 1/14 - 1/3 1/u₀ = (3 - 14) / 42 1/u₀ = -11 / 42 u₀ = -42 / 11 u₀ = -3.82 cm =========================== (11) IMAGE(by 8am) =========================== (12) IMAGE(by 8am) =========================== Completed!.

(10b) Given: Length (L) = 40 cm = 0.4 m End correction (e) = 3.2 cm = 0.032 m Velocity of sound (v) = 330 m/s Effective length = L + e = 0.4 + 0.032 = 0.432m Wave length (λ)= 4Leff λ = 4×0.432 = 1.728m Frequency (f) = v/λ= = 330/1.728 = 191Hz (10ci) Given: n = 8 n = 360° / β - 1 360° / β = n + 1 360° / β = 8 + 1 360° / β = 9 β = 360° / 9 β = 40° (10cii) (i) Mirage involves refraction and total internal reflection in air, while total internal reflection occurs at a medium boundary. (ii) Mirage produces an inverted image, while total internal reflection produces a mirror-like reflection. (10ciii) Given: f₀ = 3 cm, fe = 6 cm, L = 20 cm v₀ = L - fe = 20 - 6 = 14 cm 1/f₀ = 1/v₀ - 1/u₀ 1/3 = 1/14 - 1/u₀ 1/u₀ = 1/14 - 1/3 1/u₀ = (3 - 14) / 42 1/u₀ = -11 / 42 u₀ = -42 / 11 u₀ = -3.82 cm =========================== (11) IMAGE(by 8am) =========================== (12) IMAGE(by 8am) =========================== Completed!.