Magnetic Effects Of Current Question 297
Question: A particle with $ {{10}^{-11}},coulomb $ of charge and $ {{10}^{-7}},kg $ mass is moving with a velocity of $ 10^{8},m/s $ along the y-axis. A uniform static magnetic field $ B=0.5,Tesla $ is acting along the x-direction. The force on the particle is [MP PMT 1997]
Options:
A) $ 5\times {{10}^{-11}},N $ along $ \hat{i} $
B) $ 5\times 10^{3} $ N along $ \hat{k} $
C) $ 5\times {{10}^{-11}},N $ along $ -\hat{j} $
D) $ 5\times {{10}^{-4}},N $ along $ -\hat{k} $
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Answer:
Correct Answer: D
Solution:
$ \overrightarrow{F}=q,(\overrightarrow{v,}\times \overrightarrow{B})={{10}^{-11}}(10^{8}\hat{j},\times 0.5\hat{i}) $ $ =5\times {{10}^{-4}}(\hat{j}\times \hat{i})=5\times {{10}^{-4}}N(-\hat{k}) $
BETA
