A small block of mass m, having charge q is placed on frictionless inclined plane making an angle θ with the horizontal. There exists a uniform magnetic field B parallel to the inclined plane but perp

Question

A small block of mass m, having charge q is placed on frictionless inclined plane making an angle $θ$ with the horizontal. There exists a uniform magnetic field B parallel to the inclined plane but perpendicular to the length of spring. If m is slightly pulled on the inclined in downward direction and released, the time period of oscillation will be (assume that the block does not leave contact with the plane)

TestHub · Accepted Answer

Velocity and magnetic field both lie in the incline plane.

$F_{B} = q v \times B$

This force is normal to the plane and changes only the normal reaction.

Along the plane, gravity changes the equilibrium position, not the restoring coefficient.

$m \overset{x}{¨} + K x = 0$

$T = 2 π \frac{m}{K}$

Answer A, while contact is maintained.

Physics - Magnetism Question with Solution | TestHub

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JEE Main 2027 (Class 12+)