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Correct answer is option A

challenging question on functions from the JEE Advanced level: Let f(x) = x³ + bx² + cx + d and g(x) = x² + px + q, where b, c, d, p, and q are real numbers. If f(x) = g(f(x)) for all x ∈ R, then find the value of b + c + d + p + q.

The correct answer is A) 4.45 × 10^-7 m. Here's the solution: 1. First, find the velocity of the particle using the equation: v = √(2qV/m) where q = charge, V = potential difference, and m = mass. v = √(2 × 4 × 10^-8 C × 100 V / 1 × 10^-6 kg) = 200 m/s 1. Next, find the de Broglie wavelength using the equation: λ = h/mv where h = Planck's constant, m = mass, and v = velocity. λ = (6.63 × 10^-34 Js) / (1 × 10^-6 kg × 200 m/s) = 4.45 × 10^-7 m Therefore, the de Broglie wavelength associated with the particle is 4.45 × 10^-7 m.

Here's a JEE Advanced-level question in Physics: "A charged particle of mass 1 × 10^-6 kg and charge 4 × 10^-8 C is accelerated through a potential difference of 100 V. Find the de Broglie wavelength associated with the particle. (Given: h = 6.63 × 10^-34 Js, me = 9.1 × 10^-31 kg)" A) 4.45 × 10^-7 m B) 5.55 × 10^-7 m C) 6.66 × 10^-7 m D) 7.77 × 10^-7m

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In how many ways can a committee be formed of 5 people. Out of 4 men and 6 women, taking at most women 3. while a man beta and a woman alpha refuse to be co-chairs of the committee