In Bainbridge mass spectrograph a potential difference of 1000 V is applied between two plates dista

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11.Dual Nature of Radiation and matter

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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

A

${10^7}m/s$

B

${10^4}m/s$

C

${10^5}m/s$

D

${10^2}m/s$

Solution

(c) $v = \frac{E}{B}$; where $E = \frac{V}{d} = \frac{{1000}}{{1 \times {{10}^{ – 2}}}} = {10^5}\,V/m$

==> $v = \frac{{{{10}^5}}}{1} = {10^5}m/s$.

Standard 12

Physics

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