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Question

Given below are two statements.

Statement I : A cyclotron is a device which is used to accelerate a charged particle.

Statement II: Cyclotron frequency depends upon the velocity.

Select the correct option.

A
Statements I and II are true, and Statement II is the correct explanation for Statement I
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B
Statements I and II are true, and Statement II is not the correct explanation for Statement I
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C
Statement I is true, but Statement II is false
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D
Statement I is false, but Statement II is true
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Solution

The correct option is C Statement I is true, but Statement II is false
Cyclotron is used to accelerate charged particles. Therefore, positive ion can be accelerated in the cyclotron.

Hence, Statement I is true.

Also, frequency, f=Bq2πm

It is clear from the above relation that the cyclotron frequency does not depend upon the velocity of the charged particle.

Hence, Statement II is false.

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