Magnetic Effects Of Current Question 62
Question: In a hydrogen atom, an electron moves in a circular orbit of radius $ 5.2\times {{10}^{-11}},m $ and produces a magnetic induction of 12.56 T at its nucleus. The current produced by the motion of the electron will be (Given $ {\mu_{0}}=4\pi \times {{10}^{-7}},Wb/A-m) $ [MP PET 1997]
Options:
A) $ 6.53\times {{10}^{-3}},ampere $
B) $ 13.25\times {{10}^{-10}},ampere $
C) $ 9.6\times 10^{6},ampere $
D) $ 1.04\times {{10}^{-3}},ampere $
Show Answer
Answer:
Correct Answer: D
Solution:
$ B=\frac{{\mu_{0}}}{4\pi }.\frac{2\pi i}{r}\Rightarrow 12.56={{10}^{-7}}\times \frac{2\pi \times i}{5.2\times {{10}^{-11}}} $
$ \Rightarrow i=1.04\times {{10}^{-3}},A $
BETA
