uestion 6 The energies for particles in an infinitely deep box are quantized as

Question

uestion 6 The energies for particles in an infinitely deep box are quantized as a result of the a) boundary conditions that mathematically state that the particles cannot escape. b) Schrödinger equation itself because microscopic systems can only have discrete energies c) boundary conditions that mathematically states that particles cannot be inside the box d) Schrödinger equation itself which mathematically state that the particles cannot escape. uestion 7 For a car to safely round a horizontal (flat) circular curve of radius R at speed v, the a) normal force, which will not affect the car's speed, needs to provide centripetal acceleration equal to v/R, pointing towards the center of the circle. b) friction force, which will slow the car down, needs to provide centripetal acceleration equal to v/R, pointing towards the center of the circle. c) friction force, which will not affect the car's speed, needs to provide centripetal acceleration equal to v/R, pointing towards the center of the circle. d) friction force, which will not affect the car's speed, needs to provide centripetal accelera- tion equal to u/R, pointing along the direction of motion. e) friction force, which will not affect the car's speed, needs to provide centripetal acceleration equal to v/R, pointing towards the center of the circle.

Explanation / Answer

Question 6 - Answer B. Microscopicsystems have discrete energy states.

Question 7 - Answer E, Centripetal force must be needed which is v^2/R. So this froce is provided by friction which should not effect the speed of car. If sufficient friction is not there , Car will skid.

Question 8 - Answer A   Work by any force F.ds So dot product wise, Normal force is perpendicular to displacement. So Work doen by all force is work done by just gravity, Since work by normal force is zero.

Question 10 - Answer is D. SInce there are no forces acting on the ball in horizontal direction, Its momentum in horizontal direction is always conserved.

Note also total energy of ball is conserved but total momentum is not. Since gravity is acting in vertical direction. So option B is wrong.

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