A) 1
B) \[\sqrt{\frac{\pi {{\varepsilon }_{0}}}{G}}\]
C) \[\sqrt{\frac{G}{4\pi {{\varepsilon }_{0}}}}\]
D) \[\sqrt{4\pi {{\varepsilon }_{0}}}\]
Correct Answer: D
Solution :
[d] They will not experience any force if \[|{{\vec{F}}_{G}}|=|{{\vec{F}}_{e}}|\] \[\Rightarrow G\frac{{{m}^{2}}}{{{\left( 16\times {{10}^{-2}} \right)}^{2}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{{{q}^{2}}}{{{\left( 16\times {{10}^{-2}} \right)}^{2}}}\] \[\Rightarrow \frac{q}{m}=\sqrt{4\pi {{\varepsilon }_{0}}G}\]You need to login to perform this action.
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