Magnetic Effects Of Current Question 328

Question: An electron (mass = 9.0× $ {{10}^{-31}} $ kg and charge = $ 1.6\times {{10}^{-19}} $ coulomb) is moving in a circular orbit in a magnetic field of $ 1.0\times {{10}^{-4}},weber/m^{2}. $ Its period of revolution is [MP PET 2000; Pb PET 2003]

Options:

A) $ 3.5\times {{10}^{-7}} $ sec

B) $ 7.0\times {{10}^{-7}} $ sec

C) $ 1.05\times {{10}^{-6}} $ sec

D) $ 2.1\times {{10}^{-6}} $ sec

Show Answer

Answer:

Correct Answer: A

Solution:

$ T=\frac{2\pi m}{qB}=\frac{2\times 3.14\times 9\times {{10}^{-31}}}{1.6\times {{10}^{-19}}\times 1\times {{10}^{-4}}}=3.5\times {{10}^{-7}} $ sec