A proton, a deuteron and an α particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them ______ is and their speed is ______ in the ratio.

Question

A proton, a deuteron and an α particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them ______ is and their speed is ______ in the ratio., 2 : 1 : 1 and 4 : 2 : 1, 1 : 2 : 4 and 2 : 1 : 1, 4 : 2 : 1 and 2 : 1 : 1, 1 : 2 : 4 and 1 : 1 : 2

MARKS App · Accepted Answer

F = q v → × B → = q m P → × B → ⇒ F ∝ q m thus, F 1 : F 2 : F 3 = q 1 m 1 : q 2 m 2 : q 3 m 3 = e m p : e 2 m p : 2 e 4 m p = 1 1 : 1 2 : 2 4 = 2 : 1 : 1 Now for speed calculation, P = constant ⇒ v ∝ 1 m thus v 1 : v 2 : v 3 = 1 m p : 1 2 m p : 1 4 m p = 1 1 : 1 2 : 1 4 = 4 : 2 : 1 .

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