Question
Explain isothermal, isobaric and adiabatic processes and write equations of state for them.
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Answer
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A particle executes simple harmonic motion of amplitude A.
i. At what distance from the mean position is its kinetic energy equal to its potential energy?
ii. At what points is its speed half the maximum speed?
i. At what distance from the mean position is its kinetic energy equal to its potential energy?
ii. At what points is its speed half the maximum speed?
For the travelling harmonic wave, y = 2.0 cos 2π (10t - 0.0080x + 0.35), where x and y are in cm and t in s. What is the phase difference between oscillatory motion at two points separated by a distance of,
→- $4\text{m}$
- $0.5\text{m}$
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Gives a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude? In which interval is the average speed greatest? Choosing the positive direction as the constant direction of motion, give the signs of v and a in the three intervals. What are the accelerations at the points A, B, C and D?
The descending pulley shown in figure has a radius 20cm and moment of inertia 0.20kg-m2. The fixed pulley is light and the horizontal plane frictionless. Find the acceleration of the block if its mass is 1.0kg.
A uniform magnetic field B exist in a region. An electron projected perpendicular to the field goes in a circle. Assuming Bohr's quantization rule for angular momentum, calculate (a) the smallest possible radius of the electron (b) the radius of the nth orbit and (c) the minimum possible speed of the electron.
Figure. shows an arrangement to measure the emf $\in$ and internal resistance r of a battery. The voltmeter has a very high resistance and the ammeter also has some resistance. The voltmeter reads 1.52V when the switch S is open. When the switch is closed, the voltmeter reading drops to 1.45V and the ammeter reads 1.0A. Find the emf and the internal resistance of the battery.
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If the nucleons of a nucleus are separated from each other, the total mass is increased. Where does this mass come from?
The transverse displacement of a string (clamped at its both ends) is given by
$\text{y}(\text{x, t})=0.06\sin\Big(\frac{2\pi}{3}\text{x}\Big)\cos(120\pi\text{ t})$
where x and y are in m and t in s. The length of the string is 1.5m and its mass is 3.0 × 10–2kg.
Answer the following:
Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave?
→$\text{y}(\text{x, t})=0.06\sin\Big(\frac{2\pi}{3}\text{x}\Big)\cos(120\pi\text{ t})$
where x and y are in m and t in s. The length of the string is 1.5m and its mass is 3.0 × 10–2kg.
Answer the following:
Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave?
In a refrigerator one removes heat from a lower temperature and deposits to the surroundings at a higher temperature. In this process, mechanical work has to be done which is provided by an electric motor. If the motor is of 1KW power, and heat is transferred from –3°C to 27°C, find the heat taken out of the refrigerator per second assuming its efficiency is 50% of a perfect engine.
An icecream vendor applies a 20kg wt of force at an angle 60° with the horizontal. If the displacement is 20m, estimate the work done.