Magnetic Effects Of Current Question 17

Question: Assertion : If a proton and an a-particle enter a uniform magnetic field perpendicularly, with the same speed, then the time period of revolution of the a-particle is double than that of proton. Reason : In a magnetic field, the time period of revolution of a charged particle is directly proportional to mass.

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

E) If assertion is false but reason is true.

Show Answer

Answer:

Correct Answer: B

Solution:

Time period, $ T=\frac{2\pi m}{Bq} $ as $ {{( \frac{m}{q} )}{\alpha }}=2,{{( \frac{m}{q} )}{p}} $

Þ $ {T_{\alpha }}=2T_{p} $ Also $ T\propto m $ , but then $ {T_{\alpha }}=4T_{p} $ which is not the case.