Embibe Experts Solutions for Chapter: Magnetic Effect of Current, Exercise 1: Exercise 1

Frequency of oscillation of a magnetic needle in a given magnetic field is $\eta$, It is broken into two equal halves. What is the frequency of vibration of each equal halves in the same magnetic field?

A diamagnetic substance is placed in magnetic field in between the poles of magnet. The substance rotates and finally align itself such that its longest axis is? 

Alpha rays emitted from a radioactive substance are

A charge $q$ of mass $m,$ moving with velocity $v_0\hat{i}$ enters a region of magnetic field $B_0\hat{i}$ and electric field $E_0\hat{i}.$ If $\frac{E_0}{B_0}=v_0,$ then motion of charge will be

A charged particle $(q, m)$ is projected with velocity $v_0\hat{i}$ towards a circular region of uniform magnetic field $B$ perpendicular and into the plane of paper as shown in the figure. $C$ is the centre of the circular region. If the angle between the line $CA$ and the $x-$ axis is $37°$ and the particle passes through point $C$ then the radius of the circular region $R$ is

A charge particle $(q=1\mathrm{C}, m=1 \mathrm{kg})$ moving with velocity $\overrightarrow{v}=5\hat{i} \mathrm{m} {\mathrm{s}}^{-1}$ passes through a region of width $\left(D=\frac{3}{2} \mathrm{m}\right)$ where uniform magnetic field $\overrightarrow{B}=-2\hat{k} \mathrm{T}$ exist as shown. Find average force exerted by magnetic field on this charge particle.

${\mathrm{He}}^{+}$ and ${\mathrm{O}}^{2+}$ ions (mass of ${\mathrm{He}}^{+}=4$ amu and that of ${\mathrm{O}}^{2+}=16$ amu) they pass a region of constant perpendicular magnetic field. If kinetic energy of all the ions is same then

A uniform magnetic field $\overrightarrow{B}=B_0\hat{\mathrm{j}}$ exists a space. A particle of mass $m$ and charge $q$ is projected towards negative $x$-axis with speed $v$ from the a point $\left(d,0,0\right)$. The maximum value $v$ for which the particle does not hit $y-z$ plane is