A small block of mass m,having charge q,is pl | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The magnetic force acting on the moving charge $q$ is given by $\vec{F}_m = q(\vec{v} 	imes \vec{B})$.Given that the magnetic field $\vec{B}$ is

Vedclass · Accepted Answer

$2\pi \sqrt{\frac{m}{k}}$

Vedclass · Answer

(A) The magnetic force acting on the moving charge $q$ is given by $\vec{F}_m = q(\vec{v} 	imes \vec{B})$.Given that the magnetic field $\vec{B}$ is parallel to the inclined plane and the velocity $\vec{v}$ of the block is also along the inclined plane,the magnetic force will be perpendicular to the inclined plane.Since the magnetic force acts perpendicular to the plane of motion,it does not affect the restoring force of the spring,which acts along the inclined plane.The equation of motion for the block along the inclined plane is $m \frac{d^2x}{dt^2} = -kx$,where $x$ is the displacement from the equilibrium position.This is the standard equation for simple harmonic motion with angular frequency $\omega = \sqrt{\frac{k}{m}}$.The time period of oscillation is $T = \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k}}$.Thus,the magnetic field has no effect on the time period of oscillation.

Similar Questions

Two identical springs of constant $K$ are connected in series and parallel as shown in the figure. $A$ mass $M$ is suspended from them. The ratio of their frequencies in series to parallel combination will be

$A$ block of mass $m$ is attached to two springs of spring constants $k_1$ and $k_2$ as shown in the figure. The block is displaced by $x$ towards the right and released. The velocity of the block when it is at $x/2$ will be

Inside a lift, a spring (force constant $k = 1000 \ N/m$) and a block $(mass = 1 \ kg)$ are both in a state of rest. Now, the lift suddenly starts moving upwards with an acceleration $a = g$. Find the maximum total compression in the spring in centimeters. $(g = 10 \ m/s^2)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module