Question

Two particles X and Y having equal charge, after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the mass of X to that of Y is
(a) (R1/R2)1/2
(b) R1/R2
(c) (R1/R2)2
(d) R1R2.

Answer 1

Answer:

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Answer 2

The ratio of the mass of X to the mass of Y is $(\mathrm{R} 1 / \mathrm{R} 2) 2$

Explanation:

• R12R22 Particles X and Y of separate masses m1 and m2 are traversing charge q explaining circular paths with corresponding radii R1 and R2 such that R1 = m2v2qB = m1v1qBR2.
• Both the constituent parts are augmented via the identical potential difference. Then, both of them both will have the similar kinetic energy.
• Therefore, 12m1v12 = 12m2v22

        So, R1 = m1v1qB

        ⇒v1 = R1qBm1

        And, R2 = m2v2qB ⇒v2 = R2qBm2

        Therefore, m1R1qBm12 = m2R2qBm22

        ⇒m1m2 = R12R22