Please select a subject first
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Answer the following question.
State Newton’s law of gravitation and express it in vector form.
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What do you mean by a gravitational constant?
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Solve the following problem.
Find the gravitational force between the Sun and the Earth.
Given Mass of the Sun = 1.99 × 1030 kg
Mass of the Earth = 5.98 × 1024 kg
The average distance between the Earth and the Sun = 1.5 × 1011 m.
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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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