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

When block is pulled and then release. Block having some speed along up incline then

$F_{B} = q (V \times B) ⊥$ to incline plane.

$T = 2 π \frac{m}{k}$

so, this magnetic force will not affect time period of spring block system.

$T = 2 π \frac{m}{k}$

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