Q. The specific charge of a proton is $9.6 \times 10^{7}\ C\ {Kg}^{- 1}$. The specific charge of an alpha particle will be
A) $9.6 \times 10^{7}\ C\ {Kg}^{- 1}$
B) $19.2 \times 10^{7}\ C\ {Kg}^{- 1}$
C) $4.8 \times 10^{7}\ C\ {Kg}^{- 1}$
D) $2.4 \times 10^{7}\ C\ {Kg}^{- 1}$
Explanation
(c) Specific charge on proton =$\left( \frac{e}{m} \right)_{p}$
$= 9.6 \times 10^{7}{Ckg}^{- 1}$ specific charge on $\propto$-particle,
$\left( \frac{q}{m} \right)_{\propto} = \frac{2e}{4m} = \frac{1}{2}\left( \frac{e}{m} \right)_{p} = \frac{1}{2} \times 9.6 \times 10^{7}$
$= \ 4.8 \times 10^{7}\ {Ckg}^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.