Magnetic Effects Of Current Question 262

Question: A 2 MeV proton is moving perpendicular to a uniform magnetic field of 2.5 tesla. The force on the proton is [CPMT 1989]

Options:

A) $ 2.5\times {{10}^{-10}},N $

B) $ 7.6\times {{10}^{-11}},N $

C) $ 2.5\times {{10}^{-11}},N $

D) $ 7.6\times {{10}^{-12}},N $

Show Answer

Answer:

Correct Answer: D

Solution:

$ F=qvB=1.6\times {{10}^{-19}}\times [ \sqrt{\frac{2E}{m}} ]\ 2.5 $ $ =4\times {{10}^{-19}}\sqrt{\frac{2\times 2\times 1.6\times {{10}^{-19}}\times 10^{6}}{1.66\times {{10}^{-27}}}} $ $ =7.6\times {{10}^{-12}}N $