Assertion -A charged particle enters in a magnetic field B-Bo- with velocity v-vo-vo-then minimum speed of charged particle may be vo- Reason- A variable acceleration will act on the charged particle-

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Standard XII

Physics

Analysis of Force Equation

Assertion :A ...

Question

Assertion :A charged particle enters in a magnetic field $\to B = B_{o}^i$ with velocity $\to v = v_{o}^i + v_{o}^j$ ,then minimum speed of charged particle may be $v_{o}$ . Reason: A variable acceleration will act on the charged particle.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is D Both Assertion and Reason are incorrect
The magnetic force always acts perpendicular to velocity of particle hence it does not work. From work energy theorem its speed will remain constant $= \sqrt{2} v_{\circ}$ .
The force on particle will be constant $\to F = q \to V \times \to B$ , hence acceleration of particle will be constant.

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Assertion :A charged particle enters in a magnetic field →B=Bo^i with velocity →v=vo^i+vo^j,then minimum speed of charged particle may be vo. Reason: A variable acceleration will act on the charged particle.

Assertion :A charged particle enters in a magnetic field $\to B = B_{o}^i$ with velocity $\to v = v_{o}^i + v_{o}^j$ ,then minimum speed of charged particle may be $v_{o}$ . Reason: A variable acceleration will act on the charged particle.