SATHEE: Electrostatics Question 386

Electrostatics Question 386

Question: An electron of mass $m_{e}$ initially at rest moves through a certain distance in a uniform electric field in time $t_{1}$ . A proton of mass $m_{p}$ also initially at rest takes time $t_{2}$ to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio of $t_{2} / t_{1}$ is nearly equal to [IIT 1997 Cancelled]

Options:

A) 1

B) ${(m_{p} / m_{e})}^{1 / 2}$

C) ${(m_{e} / m_{p})}^{1 / 2}$

D) 1836

Show Answer

Answer:

Correct Answer: B

Solution:

For electron $s = \frac{e E}{m_{e}} \times t_{1}^{2}$ , For proton $s = \frac{e E}{m_{p}} \times t_{2}^{2}$
$\frac{t_{2}^{2}}{t_{1}^{2}} = \frac{m_{p}}{m_{e}} \Rightarrow \frac{t_{2}}{t_{1}} = \sqrt{\frac{m_{p}}{m_{e}}} = {(\frac{m_{p}}{m_{e}})}^{1 / 2}$

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Electrostatics Question 386

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