A) \[(2\hat{i}+\hat{j})m/{{s}^{2}}\]
B) \[(\hat{i}+\hat{j})m/{{s}^{2}}\]
C) \[(\hat{i}+2\hat{j})m/{{s}^{2}}\]
D) \[\left( \frac{{\hat{i}}}{2}+\hat{j} \right)m/{{s}^{2}}\]
Correct Answer: B
Solution :
[b] \[V=\frac{1}{x}+\frac{1}{y}+\frac{2}{z}\] \[\vec{E}=-\frac{\partial V}{\partial x}\hat{i}-\frac{\partial V}{\partial y}\hat{j}-\frac{\partial V}{\partial z}\hat{k}=\frac{1}{{{x}^{2}}}\hat{i}+\frac{1}{{{y}^{2}}}\hat{j}+\frac{2}{{{x}^{2}}}\hat{k}\] At \[(1,1,1)\,m\] \[\vec{E}=\hat{i}+\hat{j}+\hat{k}\] Resultant force on the particle in XY plane is \[\vec{F}=q(\hat{i}+\hat{j})\] \[\overrightarrow{a}=\frac{q}{m}(\hat{i}+\hat{j})=\frac{{{10}^{-12}}C}{{{10}^{-12}}kg}(\hat{i}+\hat{j})=(\hat{i}+\hat{j})m/{{s}^{2}}\]You need to login to perform this action.
You will be redirected in
3 sec