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. September 2019

Alternating Current Circuits

Q- A source of alternating voltage e = 10√2 sin ωt is connected to a resistor R = 100 Ω and a capacitor C = 0.5 μF in series.

(a) Plot impedance Z and phase difference θ between current and voltage versus frequency for a frequency range of zero to 10 kHz.

(b) Plot voltage across capacitor VC

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Circular Motion

Q- A disk accelerates constantly from rest. After 8 s, it has made 3 revolutions.

(a)  What is the angular acceleration of the disk?

(b) What is the angular velocity of the disk at t = 8 s?

(c) If the radius of the disk is 50 cm, what is the linear velocity of a point on the rim at time t = 8 s?

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Current Electricity: Superposition Method

Q- Consider the circuit in figure below with two ideal voltage sources. Calculate the current I in the 1 kΩ resister using the superposition theorem.

Solution:

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Sound: Doppler's Effect

Q- A commuter train passes a station platform at a constant speed of 40 m/s. The train horn sounded at its characteristic frequency of 320 Hz. What change in frequency is detected by a person standing on the platform as the train moves past from approaching to receding? (speed of sound in air is 340…

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Ray Optics: Refraction

Q- A jewel thief hides a diamond by placing it at the bottom of a public swimming pool. He places a circular raft on the surface of the water directly above the diamond as shown in the figure. The surface of water is smooth and the pool is 2.0m deep. Find the minimum diameter d of raft if it is to p…

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Thermodynamics: Heat Pump

Q- A heat pump is used to maintain a house at a constant temperature of 230C. The house is losing heat to the outside air through the walls and the windows at a rate of 60000 kJ/h and the energy generated within the house from lights and appliances amounts to 5000 kJ/h. For COP of 2.5, determine th…

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Mechanics: Conservation of Energy

Q- A roller coaster car of mass 1000 kg is riding along a track from point A to point C as in figure. (g = 10 m/s2)

(a) Assuming no friction between the track and the car, what is the speed of the car at the top of first hill A?

(b) What is the speed of the car at the top of second hill B?

(c) Wh…

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Electrostatics: Dielectric and Polarization

Q- Two parallel conducting plates are separated by distance d and the potential difference between them is V. A dielectric slab of dielectric constant k and uniform thickness nearly d is inserted between the plates. As the dielectric slab is not smooth enough, it touches the plates in some regions a…

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Force: Equilibrium

Q- A patient in therapy has a forearm that weighs 20.5 N and lifts a 112.0 N weight. The only other significant forces on his forearm come from the biceps muscle (which acts perpendicularly to the forearm) and the force at the elbow. If the biceps produce a pull of 232 N when the forearm is raised 4…

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