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Discuss the law of transverse vibrations in stretched strings.
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Explain the concepts of fundamental frequency, harmonics and overtones in detail.
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What is a sonometer? Give its construction and working. Explain how to determine the frequency of tuning fork using a sonometer.
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A sound wave is transmitted into a tube as shown in the figure. The sound wave splits into two waves at point A which recombine at point B. Let R be the radius of the semi-circle which is varied until the first minimum. Calculate the radius of the semi-circle if the wavelength of the sound is 50.0 m.

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Police in a siren car moving with a velocity 20 ms– chases a thief who is moving in a car with a velocity v0 ms-1. The police car sounds at frequency 300 Hz, and both of them move towards a stationary siren of frequency 400 Hz. Calculate the speed in which thief is moving. (Assume the thief does not observe any beat)
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The dimensional formula of Planck's constant h is ______
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The velocity of a particle v at an instant t is given by v = at + bt2. The dimensions of b are ______
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The dimensional formula for gravitational constant G is ______
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If the force is proportional to the square of velocity, then the dimension of the proportionality constant is ______
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The dimension of `(mu_0ε_0)^{1/2}` is ______
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A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?.
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What are the limitations of dimensional analysis?
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Write a short note on the following.
Dimensionless quantities
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Assuming that the frequency γ of a vibrating string may depend upon i) applied force (F) ii) length (l) iii) mass per unit length (m), prove that ϒ ∝ `1/lsqrt(F/m)` using dimensional analysis.
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The efficiency of a heat engine working between the freezing point and boiling point of water is ____________.
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State Clausius form of the second law of thermodynamics.
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State Kelvin-Planck's statement of the second law of thermodynamics.
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Define heat engine.
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What are the processes involves in a Carnot engine?
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State the second law of thermodynamics in terms of entropy.
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