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Question

Physics Question on Electromagnetic waves

A beam of light travelling along X-axis is described by the electric field Ey = 900sin ω(t - x/c). The ratio of electric force to magnetic force on a charge q moving along Y-axis with a speed of 3 × 107 ms-1 will be :
(Given speed of light = 3 × 108 ms-1)

A

1 : 1

B

1 : 10

C

10 : 1

D

1 : 2

Answer

10 : 1

Explanation

Solution

Ratio =qEqv×B=\frac{|q\stackrel{→}{E}|}{|q\stackrel{→}{v}×\stackrel{→}{B}|}

=EvB=vwavev=\frac{E}{v_B}=\frac{v_{wave}}{v}

Ratio =3×1083×107=101=\frac{3×10^8}{3×10^7}=\frac{10}1

Therefore, The correct answer is (C) : 10:110:1