Magnetic Effects Of Current Question 194

Question: In hydrogen atom, the electron is making $ 6.6\times 10^{15},rev/\sec $ around the nucleus in an orbit of radius 0.528 Å. The magnetic moment $ (A-m^{2}) $ will be [MP PET 1999]

Options:

A) $ 1\times {{10}^{-15}} $

B) $ 1\times {{10}^{-10}} $

C) $ 1\times {{10}^{-23}} $

D) $ 1\times {{10}^{-27}} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ i=6.6\times 10^{15}\times 1.6\times {{10}^{-19}}=10.5\times {{10}^{-4}}amp $ $ A=\pi R^{2}=3.142\times {{( 0.528 )}^{2}}\times {{10}^{-20}}m^{2} $

Þ $ M=iA=10.5\times {{10}^{-4}}\times 3.142\times {{( 0.528 )}^{2}}\times {{10}^{-20}} $ $ =10\times {{10}^{-24}}units=1\times {{10}^{-23}}units $