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Chapter 2: Q.41P (page 45)
To get total internal reflection at the interface of water (refractive index 1.33) and a plastic whose refractive index is 1.46: (a) Which material must the light start in? (1) It doesn’t matter, (2) Water, (3) Plastic, (b) What is the critical angle?
Therefore, the correct option is (3): plastic
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A cart rolls with low friction on a track. A fan is mounted on the cart, and when the fan is turned on, there is a constant force acting on the cart. Three different experiments are performed:
(a) Fan off: The cart is originally at rest. You give it a brief push, and it coasts a long distance along the track in the +x direction, slowly coming to a stop.
(b) Fan forward: The fan is turned on, and you hold the cart stationary. You then take your hand away, and the cart moves forward, in the +x direction. After traveling a long distance along the track, you quickly stop and hold the cart.
(c) Fan backward: The fan is turned on facing the “wrong” way, and you hold the cart stationary. You give it a brief push, and the cart moves forward, in the +x direction, slowing down and then turning around, returning to the starting position, where you quickly stop and hold the cart. Figure 2.57 displays four graphs of px (numbered 1–4), the x component of momentum, vs. time. The graphs start when the cart is at rest, and end when the cart is again at rest. Match the experiment with the correct graph.
Two very thin circular plastic sheets are close to each other and carry equal and opposite uniform charge. Explain briefly why the field between the sheets is much larger than the field outside. Illustrate your argument on a diagram.
A bar magnet whose magnetic dipole moment isis suspended from a thread in a region where external coils apply a magnetic field of. What is the vector torque that acts on the bar magnet?
At a certain instant a particle is moving in the direction with momentum . During the next a constant force acts on the particle, with and . What is the magnitude of the momentum of the particle at the end of this interval?
You may have noticed that while discharging a capacitor through a light bulb, the light glows just about as brightly, and for just about as long, as it does while charging the same capacitor through the same bulb. Let stand for the energy emitted by the light bulb (as light and heat) in the discharging phase, from just before the bulb is connected to the capacitor until the time when there is essentially no more current. In terms of or , what was the energy change of the battery, capacitor, bulb, and surroundings during the charging phase, and during the discharging phase? One answer is already given in the following table:
It is somewhat surprising that we can get this much information out of one simple observation.
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