A) \[1.6\times {{10}^{-19}}kg\]
B) \[1.6\times {{10}^{-27}}\text{ }kg\]
C) \[9.1\times {{10}^{-}}^{31}kg\]
D) \[2.0\times {{10}^{-}}^{24}kg\]
Correct Answer: D
Solution :
\[R\,\,=\,\,\frac{mV}{qB}\] \[\left( qVB \right)\,\,=\,\,qE\] \[V\,\,=\,\,\frac{E}{B}\] \[R\,\,=\,\frac{mE}{q{{B}^{2}}}\] \[m\,\,=\,\frac{qR{{B}^{2}}}{E}\,\,=\,\,\frac{1.6\,\times {{10}^{-19}}\,\times 0.5\times {{10}^{-2}}\,\times \,0.25}{100}\] \[=\text{ }2\times {{10}^{-}}^{24}kg\]
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