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Solve the following problem.
Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 1024 kg, R = 6400 km).
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Answer briefly.
What is the effect of pressure on the velocity of sound?
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Answer briefly.
What is the effect of humidity of air on velocity of sound?
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What is the limitation of Newton's formula for velocity of sound?
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At what temperature will the speed of sound in the air be 1.75 times its speed at S.T.P?
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Solve the following problem.
If the velocity of sound in air at a given place on two different days of a given week are in the ratio of 1:1.1. Assuming the temperatures on the two days to be same what quantitative conclusion can your draw about the condition on the two days?
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Answer the following question in brief.
What could be the equation for Gauss' law of magnetism, if a monopole of pole strength p is enclosed by a surface?
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Answer the following question in detail.
Explain Gauss's law for magnetic fields.
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Answer the following question.
What are the dimensions of the quantity `lsqrt(l//g)`, l being the length, and g the acceleration due to gravity?
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Derive the formula of the kinetic energy of a particle having mass ‘m’ and velocity ‘v’, using dimensional analysis.
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An electron with charge e enters a uniform magnetic field `vec"B"` with a velocity `vec"v"`. The velocity is perpendicular to the magnetic field. The force on the charge is given by `|vec"F"|`= B e v.
Obtain the dimensions of `vec"B"`.
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An object is falling freely under gravitational force. Its velocity after travelling a distance h is v. If v depends upon gravitational acceleration g and distance, prove with the dimensional analysis that v = k`sqrt"gh"` where k is a constant.
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v = `at + b/(t + c) + "v"_0` is a dimensionally valid equation. Obtain the dimensional formula for a, b and c where v is velocity, t is time and v0 is initial velocity.
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Answer the following question.
As we go from one planet to another planet, how will the mass and weight of a body change?
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Answer the following question.
Derive the relation between three coefficients of thermal expansion.
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Answer the following question.
State applications of thermal expansion.
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Answer the following question.
What is thermal stress?
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Answer the following question.
Give an example of the disadvantages of thermal stress in practical use?
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A glass flask has a volume 1 × 10−4 m3. It is filled with a liquid at 30°C. If the temperature of the system is raised to 100°C, how much of the liquid will overflow? (Coefficient of volume expansion of glass is 1.2 × 10−5 (°C)−1 while that of the liquid is 75 × 10−5 (°C)−1).
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Solve the following problem.
In olden days, while laying the rails for trains, small gaps used to be left between the rail sections to allow for thermal expansion. Suppose the rails are laid at room temperature 27 °C. If maximum temperature in the region is 45 °C and the length of each rail section is 10 m, what should be the gap left given that α = 1.2 × 10–5K–1 for the material of the rail section?
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