A) \[4.3\times {{10}^{-7}}m\]
B) \[7.3\times {{10}^{-7}}m\]
C) \[0.078\times {{10}^{-7}}m\]
D) \[3.4\times {{10}^{-7}}m\]
Correct Answer: B
Solution :
[b] \[F=qE=mg\,(q=6e=6\times 1.6\times {{10}^{-19}})\] Density [d] \[\frac{\text{mass}}{\text{volume}}=\frac{m}{\frac{4}{3}\pi {{r}^{3}}}\text{ or }{{r}^{3}}=\frac{m}{\frac{4}{3}\pi d}\] Putting the value of v and m (= 2E/g) and solving we get \[r=7.8\times {{10}^{-7}}m\]
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