IIT-JEE Exam

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

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IIT-JEE Other Question

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 Two solid spheres A and B of equal volumes but of different densities dA and
dB are connected by a string. They are fully immersed in a fluid of density dF.
They get arranged into an equilibrium state as shown in the figure with a
tension in the string. The arrangement is possible only if
(A) dA < dF (B) dB > dF
(C) dA > dF (D) dA + dB = 2dF