A particle of charge $ - 16 \times {10^{ - 18}}$ $coulomb$ moving with velocity $10\,\,m{s^{ - 1}}$ along the $x$-axis enters a region where a magnetic field of induction $B$ is along the $y$-axis, and an electric field of magnitude ${10^4}\,\,V/m$ is along the negative $z$-axis. If the charged particle continues moving along the $x$-axis, the magnitude of $B$ is
A${10^{ - 3}}\,Wb/{m^2}$
B${10^3}\,Wb/{m^2}$
C${10^5}\,Wb/{m^2}$
D${10^{16}}\,Wb/{m^2}$
AIEEE 2003, Medium
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B${10^3}\,Wb/{m^2}$
b (b) Since particle is moving undeflected.
So $qE = qvB \Rightarrow B = E/v = \frac{{{{10}^4}}}{{10}} = {10^3}\,Wb/{m^2}$
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