1. Electric Charges and Fields
medium

સમાન  $m$ દળ અને સમાન વિદ્યુતભાર $q$ ને $16\, cm$ અંતરે રહેલા છે.તે બંને પર લાગતું બળ શૂન્ય હોય,તો $\frac{q}{m}  =$ ______

A

શૂન્ય

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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