Magnetic Effects Of Current Question 258

Question: An electron has mass $ 9\times {{10}^{-31}},kg $ and charge $ 1.6\times {{10}^{-19}}C $ is moving with a velocity of $ 10^{6},m/s $ , enters a region where magnetic field exists. If it describes a circle of radius 0.10 m, the intensity of magnetic field must be [NCERT 1982; CPMT 1989; DCE 2005]

Options:

A) $ 1.8\times {{10}^{-4}},T $

B) $ 5.6\times {{10}^{-5}},T $

C) $ 14.4\times {{10}^{-5}},T $

D) $ 1.3\times {{10}^{-6}},T $

Show Answer

Answer:

Correct Answer: B

Solution:

$ B=\frac{mv}{qr}=\frac{9\times {{10}^{-31}}\times 10^{6}}{1.6\times {{10}^{-19}}\times 0.1}=5.6\times {{10}^{-5}}T $