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25 March, 02:47

A proton and a deuteron are moving with equal velocities perpendicular to a uniform magnetic field. A deuteron has the same charge as the proton but has twice its mass. The ratio of the magnetic force on the proton to that on the deuteron is:

a. 0.5.

b. 1.

c. 2.

d. There is no magnetic force in this case.

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Answers (1)
  1. 25 March, 03:53
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    option (b)

    Explanation:

    mass of proton, mp = m

    mass of deuteron, md = 2m

    charge on proton, qp = q

    charge on deuteron, qd = q

    The magnetic force on the charged particle when it is moving is given by

    F = q v B Sinθ

    where, θ is the angle between the velocity and magnetic field.

    Here, θ = 90°

    Let v is the velocity of both the particle when they enters in the magnetic field.

    The force on proton is given by

    Fp = q x v x B ... (1)

    The force on deuteron is

    Fd = q x v x B ... (2)

    Divide equation (1) by equation (2)

    Fp / Fd = 1

    Thus, the ratio of force on proton to the force on deuteron is 1 : 1.

    Thus, option (b) is correct.
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