Two ions having masses in the ratio 1:1 and c | vedclass

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

Question

(A) The radius $r$ of a circular path of a charged particle moving in a uniform magnetic field $B$ is given by the formula $r = \frac{mv}{qB}$.Given t

Vedclass · Accepted Answer

$4:3$

Vedclass · Answer

(A) The radius $r$ of a circular path of a charged particle moving in a uniform magnetic field $B$ is given by the formula $r = \frac{mv}{qB}$.Given the ratios:Mass ratio: $\frac{m_1}{m_2} = \frac{1}{1}$Charge ratio: $\frac{q_1}{q_2} = \frac{1}{2}$Speed ratio: $\frac{v_1}{v_2} = \frac{2}{3}$Since the magnetic field $B$ is uniform and the same for both,the ratio of the radii is:$\frac{r_1}{r_2} = \left( \frac{m_1}{m_2} ight) 	imes \left( \frac{v_1}{v_2} ight) 	imes \left( \frac{q_2}{q_1} ight)$Substituting the given values:$\frac{r_1}{r_2} = \left( \frac{1}{1} ight) 	imes \left( \frac{2}{3} ight) 	imes \left( \frac{2}{1} ight) = \frac{4}{3}$Therefore,the ratio of the radii is $4:3$.

Two ions having masses in the ratio $1:1$ and charges in the ratio $1:2$ are projected into a uniform magnetic field perpendicular to the field with speeds in the ratio $2:3$. The ratio of the radii of the circular paths along which the two particles move is

Similar Questions

An infinitely long straight conductor $AB$ is fixed and a current $i_1$ is passed through it. Another movable straight wire $CD$ of finite length carrying current $i_2$ is held perpendicular to it and released. Neglect the weight of the wire.

The sum of the coordination number and the oxidation number of the metal $M$ in the complex $[M(en)_2(C_2O_4)]Cl$ (where $en$ is ethylenediamine) is:

$A$ current $i$ $A$ flows along an infinitely long straight thin-walled tube. The magnetic induction at any point inside the tube is:

Copper sulphate dissolves in excess of $KCN$ to give

The principal solutions of $\cot x = \sqrt{3}$ are

Vedclass Test Series

Exam Paper Generator

Online Exam Module