Velocity ratio of the two cathode rays is 1:2. They are applied to the same electric field. What is the deflection ratio of the two cathode rays

1 : 2

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1 : 4

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4 : 1

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8: 1

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Solution

The correct option is C 4 : 1
Given: velocity ratio =1:2 ,same electric field
Solution: Motion of charged particle in electric field:
By using the formula : $y = \frac{1}{2} \times \frac{q E x^{2}}{m v^{2}}$
$y \propto \frac{1}{v^{2}}$
$\frac{y_{1}}{y_{_{2}}} = \frac{4}{1}$
Hence the correct answer is C

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Velocity ratio of the two cathode rays is 1:2. They are applied to the same electric field. What is the deflection ratio of the two cathode rays

The correct option is C 4 : 1Given: velocity ratio =1:2 ,same electric fieldSolution: Motion of charged particle in electric field:By using the formula :y=12×qEx2mv2y∝1v2y1y2=41Hence the correct answer is C