Magnetic Effects Of Current Question 268

Question: A proton (mass $ =1.67\times {{10}^{-27}},kg $ and charge $ =1.6\times {{10}^{-19}},C) $ enters perpendicular to a magnetic field of intensity 2 $ weber/m^{2} $ with a velocity $ 3.4\times 10^{7},m/\sec $ . The acceleration of the proton should be [DPMT 1999]

Options:

A) $ 6.5\times 10^{15},m/{{\sec }^{2}} $

B) $ 6.5\times 10^{13},m/{{\sec }^{2}} $

C) $ 6.5\times 10^{11},m/{{\sec }^{2}} $

D) $ 6.5\times 10^{9},m/{{\sec }^{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

F = ma = qvB

รž $ a=\frac{qvB}{m}=\frac{1.6\times {{10}^{-19}}\times 2\times 3.4\times 10^{7}}{1.67\times {{10}^{-27}}} $ = 6.5 ยด 1015m/sec2



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