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Which of the following shows the correct relationship between the pressure and density of an ideal gas at constant temperature?
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The following graph represents the pressure versus number density for an ideal gas at two different temperatures T1 and T2. The graph implies

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What is the microscopic origin of pressure?
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A gas is at temperature 80°C and pressure 5 × 10−10 Nm−2. What is the number of molecules per m3 if Boltzmann’s constant is 1.38 × 10−23 J K−1
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If 1020 oxygen molecules per second strike 4 cm2 of wall at an angle of 30° with the normal when moving at a speed of 2 × 103 ms−1, find the pressure exerted on the wall. (mass of one oxygen atom = 2.67 × 10−26 kg)
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Estimate the total number of air molecules in a room of a capacity of 25 m3 at a temperature of 27°C.
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In a simple harmonic oscillation, the acceleration against displacement for one complete oscillation will be __________.
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A particle executing SHM crosses points A and B with the same velocity. Having taken 3 s in passing from A to B, it returns to B after another 3 s. The time period is ____________.
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The length of a second’s pendulum on the surface of the Earth is 0.9 m. The length of the same pendulum on the surface of planet X such that the acceleration of the planet X is n times greater than the Earth is
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A simple pendulum is suspended from the roof of a school bus which moves in a horizontal direction with an acceleration a, then the time period is
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A simple pendulum has a time period T1. When its point of suspension is moved vertically upwards according to as y = kt2, where y is the vertical distance covered and k = 1 ms−2, its time period becomes T2. Then, T `"T"_1^2/"T"_2^2` is (g = 10 ms−2)
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If the inertial mass and gravitational mass of the simple pendulum of length l are not equal, then the time period of the simple pendulum is
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Define the time period of simple harmonic motion.
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Define the frequency of simple harmonic motion.
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Write short notes on two springs connected in series.
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Write short notes on two springs connected in parallel.
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State the laws of the simple pendulum?
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What is meant by simple harmonic oscillation? Give examples and explain why every simple harmonic motion is a periodic motion whereas the converse need not be true.
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Describe Simple Harmonic Motion as a projection of uniform circular motion.
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