10 Question MCQ (including Assertion)

Two identical conductors 1 and 2 are placed on two frictionless conducting rails R and S in a uniform magnetic field directed vertically downward into the plane of the page. If conductor 1 is moved with a constant velocity in the direction as shown in figure, the force on conductor 2 will be along :

The dimensions of the rate of change of magnetic flux are :

A metallic rod of 1 m length is rotated with a frequency of 40 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field of 0·5 T parallel to the axis is present in the region. The value of emf induced between the centre and the metallic ring is close to :

A closely wound long solenoid of self-inductance L is cut into two identical solenoids. The value of self-inductance of each small solenoid will be :

A square loop of side 50 cm is placed in a uniform magnetic field of 3·0 T acting perpendicular to the plane of the loop. If the loop is rotated through an angle of 90° in 0·3 s, the value of emf induced in the loop would be :

A square loop of side L lies in the x-y plane in a magnetic field \(\vec{B}\) = \(B_{0}\)(2 \(\hat{i}\) + 3 \(\hat{j}\) + 4\(\hat{k}\)), where \(B_{0}\) is a constant. The magnetic flux through the loop is :

The magnetic flux through a loop placed in a magnetic field can be changed by changing :

Assertion (A) : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more.

Reason (R) : Induced emf produced is directly proportional to the magnetic flux.

Two coils are placed closed to each other. The mutual inductance of the pair of coils depends upon the :