IIT-JEE Exam

A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is
ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its
ejection, the kinetic energy of the object is

Read Solution (Total 1)

Velocity for circular motion
V=√GM/R
R=GM/V^2
From above
Escape Velocity=√2GM/R^2 where R is same for both so
Escape velocity=V√2
KE=1/2 mV^2
=mV^2
10 years agoHelpfull: Yes(0) No(0)

IIT-JEE Other Question

wooden block performs SHM on a frictionless surface
with frequency, n0. The block carries a charge +Q on its
surface. If now a uniform electric field E

is switched-on
as shown, then the SHM of the block will be
(A) of the same frequency and with shifted mean position.
(B) of the same frequency and with the same mean position
(C) of changed frequency and with shifted mean position.
(D) of changed frequency and with the same mean position A long insulated copper wire is closely wound as a spiral of
‘N’ turns. The spiral has inner radius ‘a’ and outer radius ‘b’.
The spiral lies in the XY plane and a steady current ‘I’ flows
through the wire. The Z-component of the magnetic field at
the centre of the spiral is