Assertion: A charged particle is moving in a circle with constant speed in uniform magnetic field. If we the speed of particle becomes twice, its acceleration will become four times
Reason: In circular path with constant speed, acceleration is given by $\frac{v^{2}}{R}$ . If speed is doubled centripetal acceleration will become four times

Both assertion and reason are true and reason is correct explanation of the assertion.

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Both assertion and reason are true and reason is not a correct explanation of the assertion.

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Assertion is true but reason is false

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Assertion is false but reason is true

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Solution

The correct option is D Assertion is false but reason is true
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Q. Assertion :A charged particle is moving in a circle with constant speed in uniform magnetic field.If we increase the speed of particle to twice,its acceleration will become four times. Reason: In circular path of radius R with constant speed

v

,acceleration is given by

\frac{v^{2}}{R}

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 : $B q v = \frac{m v^{2}}{r}$ holds good for the charged particle moving in a circular path in a uniform magnetic field.

Choose the most appropriate correct option:

Q. Assertion: If acceleration of a particle moving in a straight line varies as

a \propto t^{n},

then its position may vary as

s \propto t^{n + 2}

Reason: If

a - t

graph is a straight line, then

s - t

graph may be a parabola.

Q. Assertion: If acceleration of a particle moving in a straight line varies as

a \propto t^{n}

, displacement

S \propto t^{n + 2}

Reason: If

a - t

graph is a straight line, then

s - t

graph may be a parabola.

Q. Assertion: A cyclic parallelogram is a square.
Reason: Diameter is the largest chord in a circle.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

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The correct option is D Assertion is false but reason is trueundefined

The correct option is D Assertion is false but reason is true
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