Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. 31) A parallel-plate capacitor having circular plates of radius R and separat

ID: 1485304 • Letter: 1

Question

1. 31) A parallel-plate capacitor having circular plates of radius R and separation d is charged to a potential difference by a battery. It is then removed from the battery. If the plates are moved farther apart, (Points: 5) O A) the amount of charge on each of them will increase. O B) the amount of charge on each of them will stay the same. O C) the amount of charge on each of them will decrease. O D) the energy stored in the capacitor decreases O E) the energy stored in the capacitor increases 2. 32) The two solenoids in the figure below are coaxial and fairly close to each other. While the resistance of the variable resistor in the right-hand solenoid is decreased at a constant rate, the induced current through the resistor R will Rar Resistor with variable resistance (Points 5) O A) flow from a to b. O B) be zero because the rate is constant. O C) first flow from b to a, then a to b. 0 D) first flow from a to b, then b to a. O E) flow from b to a.

Explanation / Answer

(1) Total charge remins same. It wont change as there no way to flow out the charge. Also as we seperate the plate which are actually attracting each other as they have opposite charge, we have to some work on the capcitor hence there energy will increase. Hence option B and E

(2) As the resistance decrease , the current flowing through it will increase which increase the magnetic field. Hence the flux through the second coil will also increase. To balance the increasing flux, current will flow in such a way that it oppose the increase in flux. Since the current will flow in clockwise direction in solenoid with variable resistance hence in 1st solenoid current will flow in anti-clockwise direction i.e. a to b . option A

(3) By incraesing the frequency, only the energy of photons increases but not the number of photons which depends on intensity of light, hence number of electron emmited from the surface remains same but the energy of emmitted electron increases. Hence option D

(4) since l=2 hence the suborbit will be 'd' there state will be 4d hence option D

(5) option B