First slide

Electromagnetic waves and its nature

Question

A beam of light travelling along x-axis described by the magnetic field, $B_{z} = 5 \times 10^{- 10} \sin w (t - \frac{X}{c}) T$ . Calculate the maximum magnetic force on alpha particle, moving along y-axis with a speed of $3 \times 10^{7} m / s$ . Charge on electron is $1.6 \times 10^{- 19} C$ .

Moderate

A

$4.80 N$
B

$4.80 \times 10^{- 10} N$
C

$48 \times 10^{- 22} N$
D

$48 \times 10^{- 10} N$

Solution

Force on the alpha particle due to magnetic field is $F = q v B \sin (90^{o})$
$G i v e n : B_{z} = 5 \times 10^{- 10} \sin w (t - \frac{x}{c}) T C o m p a r i n g w i t h B_{z} = B_{o} \sin w (t - \frac{x}{c}) T ∴ B_{o} = 5 \times 10^{- 10} T H e n c e, F = q v B [C h a r g e o n a l p h a p a r t i c l e = + 2 e] \Rightarrow F = 2 \times 1.6 \times 10^{- 19} \times 3 \times 10^{7} \times 5 \times 10^{- 10} \Rightarrow F = 48 \times 10^{- 22} N$

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