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Question

Assertion: A proton and an α - particle are projected with the same kinetic energy at right angle to a uniform magnetic field, then the α - particle will move along a circular path of smaller radius than the proton.

Reason : Bqv=mv2r holds good for the charged particle moving in a circular path in a uniform magnetic field. 

Choose the most appropriate correct option:



Correct Answer
A

Assertion is false but Reason is true.

Your Answer
B

Assertion is true but Reason is false.

Your Answer
C

Both Assertion and Reason are true but Reason is not the correct explanation of assertion.

Your Answer
D

Both Assertion and Reason are true and Reason is correct explanation of Assertion.


Solution

The correct option is C

Assertion is false but Reason is true.


E=12mv2 or v=2Em

Bqv=mv2r

Or r=mvBq=mBq2Em=2mEBq

i.e., rmq

rprα=mpmα×qαqp=14×21=1

i.e., radius of both the particles should be same.  Hence statement : 1 is wrong and statement : 2 is correct.

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