Magnetic Effects Of Current Question 269

Question: An $ \alpha - $ particle travels in a circular path of radius 0.45 m in a magnetic field $ B=1.2,Wb/m^{2} $ with a speed of $ 2.6\times 10^{7},m/\sec $ . The period of revolution of the $ \alpha - $ particle is

Options:

A) $ 1.1\times {{10}^{-5}},\sec $

B) $ 1.1\times {{10}^{-6}}\sec $

C) $ 1.1\times {{10}^{-7}},\sec $

D) $ 1.1\times {{10}^{-8}},\sec $

Show Answer

Answer:

Correct Answer: C

Solution:

$ T=\frac{2\pi m}{qB}=\frac{2\pi r}{v}=\frac{2\times 3.14\times 0.45}{2.6\times 10^{7}}=1.08\times {{10}^{-7}}\sec $