The carrier frequency generated by a tank circuit containing $1 \mathrm{nF}$ capacitor and $10 \mathrm{\mu H}$ inductor is:

A cube of side $a$ is placed in a magnetic field of intensity $B$. The magnetic flux emerging out (outgoing flux only) of the cube will be -

The figure represents an area $A=0.5 {\mathrm{m}}^2$ situated in a uniform magnetic field $B=2.0 \mathrm{weber} {\mathrm{m}}^{-2}$ and making an angle of $60°$ with respect to the magnetic field. The value of the magnetic flux through the area would be equal to

A conducting square loop of side I and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A uniform and constant magnetic field B exists perpendicular to the plane of the loop in fig. The current induced in the loop is -