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Standard XII

Physics

Circular Kinematics

Assertion :A ...

Question

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

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
$R \propto v$ ,
By increasing in the speed two times radius also becomes two times.
Hence accleration $(= v^{2} / R)$ will also become only two times.

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Similar questions

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: In the equation,

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Q. Assertion: The impurities such as

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Reason:

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Assertion – The non-fusible impurities present in iron ore are removed by $C a C O_{3}$ .

Reason: $C a C O_{3}$ which decomposes into $C a O$ and $C O_{2}$ . The $C a O$ formed reacts with $S i O_{2}$ to remove silica

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

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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 v2R.

The correct option is D Both Assertion and Reason are incorrectR∝v, By increasing in the speed two times radius also becomes two times. Hence accleration (=v2/R) will also become only two times.

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

The correct option is D Both Assertion and Reason are incorrect
$R \propto v$ ,
By increasing in the speed two times radius also becomes two times.
Hence accleration $(= v^{2} / R)$ will also become only two times.