A) \[3.2\,\,\times \,\,{{10}^{-}}^{13}\,N\text{ }in\text{ }z-direction~\]
B) \[3.2\,\,\times \,\,{{10}^{-}}^{12}\,dyne\text{ }in\text{ }z-direction~\]
C) \[3.2\,\,\times \,\,{{10}^{-}}^{13}\,N\text{ }in\text{ negative}\,\,z-direction~\]
D) None of these
Correct Answer: C
Solution :
Given Magnetic field \[\operatorname{B} ={{(3\hat{i} +2\hat{j}\,)}_{T}}\] \[v=5\times {{10}^{5}}\hat{i}\,\,m/s\] To find The magnetic force acting on the particle. Solution \[\operatorname{F} =q\left( v \times B \right) =q\left[ \left( 3\hat{i} + 2\hat{j} \right) \times \left( 5 \times 1{{0}^{5}}\hat{i} \right) \right]\] \[=\,\,\,(2\,\times 1.6\times {{10}^{-19}})(-{{10}^{6}}\hat{k})\] \[=\, 3.2 \times 1{{0}^{-}}^{13}N\] in the negative z-direction
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