Question

Acceleration experienced by a particle with specific charge $1\times {10}^{7}C/kg$ when fired perpendicular to a magnetic field of induction $100T$ with a velocity ${10}^{5}m{s}^{-1}$ is :

• A. ${10}^{8}m{s}^{-2}$
• B. ${10}^{-6}m{s}^{-2}$
• C. ${10}^{14}m{s}^{-2}$
• D. ${10}^{-8}m{s}^{-2}$

Answer 1

Answer: (C)

${10}^{14}m{s}^{-2}$

Specific charge $\left(\frac{q}{m}\right)={10}^{7}C/kg$
$\left|B\right|=100T$
$f=qVB\sin \theta$
$q=\frac{f}{m}$
=$\frac{qVB\sin \theta }{m}$
=$\frac{{10}^7\times {10}^5\times 100\times \sin {90}^{\circ }}{1}$
=${10}^{14}m{s}^{-2}$