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1. Electric Charges and Fields
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Two particle of equal mass $m$ and charge $q$ are placed at a distance of $16\, cm$. They do not experience any force. The value of $\frac{q}{m}$ is
A
Zero
B
$\sqrt {\frac{{\pi {\varepsilon _0}}}{G}} $
C
$\sqrt {\frac{G}{{4\pi {\varepsilon _0}}}} $
D
$\sqrt {4\pi {\varepsilon _0}G} $
Solution
(d) They will not experience any force if $|\overrightarrow {{F_G}} |\, = \,|\overrightarrow {{F_e}} |$
$==>$ $G\frac{{{m^2}}}{{{{(16 \times {{10}^{ – 2}})}^2}}} = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{{{q^2}}}{{{{(16 \times {{10}^{ – 2}})}^2}}}$ $==>$ $\frac{q}{m} = \sqrt {4\pi {\varepsilon _0}G} $
Standard 12
Physics
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