AIPMT - 25th July 2015

A square loop of side $1 \mathrm{m}$ and resistance $1 \mathrm{\Omega }$ is placed in a magnetic field of $0.5 \mathrm{T}$. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is:

The dimensions $\left[\mathrm{MLT}{{}^{-2}\mathrm{A}}^{-2}\right]$ belong to the

A big circular coil of $1000$ turns and average radius $10 \mathrm{m}$ is rotating about its horizontal diameter at $2 \mathrm{rad} {\mathrm{s}}^{-1}$. If the vertical component of earth's magnetic field at that place is $2\times {10}^{-5} \mathrm{T}$ and electrical resistance of the coil is $12.56 \mathrm{\Omega }$, then the maximum induced current in the coil will be:

 A step down transformer connected to an ac mains supply of $220 \mathrm{V}$ is made to operate at $11 \mathrm{V}, 44 \mathrm{W}$ lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?

Two conducting circular loops of radii $R_1$ and $R_2$ are placed in the same plane with their centres coinciding. If $R_1\gg R_2$, the mutual inductance $M$ between them will be directly proportional to:

The peak voltage of the ac source is equal to

A series LCR circuit with inductance $10 \mathrm{H}$, capacitance $10 \mu \mathrm{F}$, resistance $50 \mathrm{\Omega }$ is connected to an AC source of voltage, $V=200\sin \left(100t\right)$ volt. If the resonant frequency of the LCR circuit is ${\nu }_0$ and the frequency of the AC source is $\nu$, then 

A series $L-C-R$ circuit containing $5.0 \mathrm{H}$ inductor, $80 \mu \mathrm{F}$ capacitor and $40 \Omega$ resistor is connected to $230 \mathrm{V}$ variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be: