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qUESTIONS

A source of sound is moving towards a stationary listener with velocity ‘vS’ and then moves away with velocity ‘vS’. Assume that the medium through which the sound waves travel is at rest. If ‘v’ is the velocity of sound and ‘n’ is the frequency emitted by the source, then the difference between the apparent frequencies heard by the listener is

The equation of a progressive wave is y = a sin 2π (nt-x/5). The ratio of maximum particle velocity to the wave velocity is

A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddenly disappears, the satellite will

A planet of radius R = 1/10 x (radius of Earth) has the same 10 mass density as Earth. Scientists dig a well of depth R/5 on it and lower a wire of the same length and of linear mass density 10^-3 kg m^-1 into it. If the wire is not touching anywhere, the force applied at the top of the wire by a person holding it in place is (Take the radius of Earth = 6×10^6 m and the acceleration due to gravity on Earth is 10 ms^-2 )

Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is

The mass of a spaceship is 1000 kg. It is to be launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ (radius of earth) are 10 m/s2 and 6400 km respectively. The required energy for this work will be

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G=6.67×10^-11 Nm^2/kg^2)

The escape velocity of a particle of mass m varies as

The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 45° with the vertical, the escape velocity will be

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