Dual Nature Of Light Question 69

Question: In Bainbridge mass spectrograph a potential difference of 1000 V is applied between two plates distant 1 cm apart and magnetic field in B = 1T. The velocity of undeflected positive ions in m/s from the velocity selector is [RPMT 1998]

Options:

A) $ 10^{7}m/s $

B) $ 10^{4}m/s $

C) $ 10^{5}m/s $

D) $ 10^{2}m/s $

Show Answer

Answer:

Correct Answer: C

Solution:

$ v=\frac{E}{B} $ ; where $ E=\frac{V}{d}=\frac{1000}{1\times {{10}^{-2}}}=10^{5},V/m $
Þ $ v=\frac{10^{5}}{1}=10^{5}m/s $ .