Dual Nature Of Light Question 85
Question: A 1mA beam of protons with a cross-sectional area of 0.5 sq. mm is moving with a velocity of $ 3\times 10^{4}m{{s}^{-1}} $ . Then charge density of beam is [CPMT 2002]
Options:
A) $ 6.6\times {{10}^{-4}}C/m^{3} $
B) $ 6.6\times {{10}^{-5}}C/m^{3} $
C) $ 6.6\times {{10}^{-6}}C/m^{3} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
For one second, distance = Velocity = $ 3\times 10^{4}m/\sec $ and $ Q=i\times 1={{10}^{-6}}C $ . Charge density $ =\frac{Charge}{Volume} $ $ =\frac{{{10}^{-6}}}{3\times 10^{4}\times 0.5\times {{10}^{-6}}}=6.6\times {{10}^{-5}}C/m^{3} $ .
BETA
