Question

An electron flies into a homogeneous magnetic field perpendicular to the lines of force. The velocity of electron is $4\times {10}^{7}m{s}^{-1}$ and induction of field is ${10}^{-3}$T. The tangential and normal accelerations of electron are

• A. $7\times {10}^{15}m{s}^{-2},0$
• B. $5\times {10}^{15}m{s}^{-2},0$
• C. $3\times {10}^{15}m{s}^{-2},0$
• D. $0,7\times {10}^{15}m{s}^{-2}$

Answer 1

The correct option is D $0,7\times {10}^{15}m{s}^{-2}$

Tangential acceleration = 0
Normal acceleration
ma = Bqv
$a=\frac{Bqv}{m}a=\frac{{10}^{-3}\times 1.6\times {10}^{-19}\times 4\times {10}^7}{9.1\times {10}^{-31}}=\frac{64}{9}\times {10}^{15}=7\times {10}^{15}m{s}^{-2}$