A proton (mass m and charge +e) and an alpha- | vedclass

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

Question

(C) Given that the kinetic energy $K_p = K_{\alpha}$.We know that the radius of a charged particle in a magnetic field is given by $r = \frac{mv}{qB}

Vedclass · Accepted Answer

The $\alpha$-particle and the proton will be bent in a circular path with the same radius.

Vedclass · Answer

(C) Given that the kinetic energy $K_p = K_{\alpha}$.We know that the radius of a charged particle in a magnetic field is given by $r = \frac{mv}{qB} = \frac{\sqrt{2mK}}{qB}$.For the proton: $r_p = \frac{\sqrt{2m_p K_p}}{q_p B}$.For the $\alpha$-particle: $r_{\alpha} = \frac{\sqrt{2m_{\alpha} K_{\alpha}}}{q_{\alpha} B}$.Taking the ratio: $\frac{r_p}{r_{\alpha}} = \sqrt{\frac{m_p}{m_{\alpha}}} 	imes \frac{q_{\alpha}}{q_p} = \sqrt{\frac{m}{4m}} 	imes \frac{2e}{e} = \frac{1}{2} 	imes 2 = 1$.Therefore,$r_p = r_{\alpha}$. Both particles will move in a circular path with the same radius.

$A$ proton (mass $m$ and charge $+e$) and an $\alpha$-particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to a uniform magnetic field. Which one of the following statements is true?

Similar Questions

$A$ graph of magnetic flux $(\phi)$ versus current $(I)$ is drawn for four inductors $A, B, C, D$. Which inductor has the largest value of self-inductance?

$A$ capacitor of capacity $4 \mu F$ is charged to $80 \ V$ and another capacitor of capacity $6 \mu F$ is charged to $30 \ V$. When they are connected,the energy lost by the $4 \mu F$ capacitor is: (in $mJ$)

$A$ circular disc of radius $R$ is removed from a bigger uniform circular disc of radius $2R$ such that the circumferences of the discs coincide. The centre of mass of the new disc is $\alpha R$ from the centre of the bigger disc. The value of $\alpha$ is

The maximum value of $ \left(\frac{1}{x}\right)^{x} $ is

There are two coils $A$ and $B$ as shown in the figure. No current flows in $B$ if $A$ is at rest. Now,the coil $A$ is made to rotate about a vertical axis. At the shown instant $(t = 0)$,what will be the direction of the current in coil $A$ if the induced current in coil $B$ is counterclockwise?

Vedclass Test Series

Exam Paper Generator

Online Exam Module