In Bainbridge mass spectrograph a potential difference of 1000 ~V… - Vidyadip

MCQ

In Bainbridge mass spectrograph a potential difference of $1000 \mathrm{~V}$ is applied between two plates distant $1 \mathrm{~cm}$ apart and magnetic field in $B=1 T$. The velocity of undeflected positive ions in $\mathrm{m} / \mathrm{s}$ from the velocity selector is

A
$10^7 \mathrm{~m} / \mathrm{s}$
B
$10^4 \mathrm{~m} / \mathrm{s}$
✓
$10^5 \mathrm{~m} / \mathrm{s}$
D
$10^2 \mathrm{~m} / \mathrm{s}$

✓

Answer

Correct option: C.

$10^5 \mathrm{~m} / \mathrm{s}$

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

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