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Byju's Answer

Standard XII

Physics

Work Energy Theorem

Assertion :Di...

Question

Assertion :Displacement ( $S$ )-time ( $t$ ) graph of a particle moving in a straight line is shown in figure. Work done by all the forces is equal to change in kinetic energy. Reason: Work done by all the forces between time interval $t_{1}$ and $t_{2}$ is definitely zero.

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 C Assertion is correct but Reason is incorrect.
$W_{A L L} = △ K = K_{f} - K_{i}$
$= \frac{1}{2} m (v_{f}^{2} - v_{i}^{2})$
$v_{f} = v_{t_{2}} = Slope of S-t graph at t_{2}$
$v_{i} = v_{t_{1}} = Slope of S-t graph at t_{1}$
These two slopes are not necessarily equal.

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Similar questions

Q. Assertion : A body is moved from

x = 2

x = 1

, under a force

F = 4 x

, the work done by the force is negative.
Reason: Force and displacement are in opposite directions.

Q. Assertion: A body is moving along a straight line such that its velocity varies with time as shown in figure. Magnitude of displacement of the body from

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t = 12

s is the same as the distance travelled by it in the given time duration.

Reason: For unidirectional motion of a body, |displacement|=distance.

Assertion (A) All collision of reactant molecules lead to product formation.

Reason (R) Only those collisions in which molecules have correct orientation and sufficient kinetic energy lead to compound formation.

(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.

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

a \propto t^{n},

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s \propto t^{n + 2}

Reason: If

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s - t

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Q. Assertion: In the

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Assertion :Displacement (S)-time (t) graph of a particle moving in a straight line is shown in figure. Work done by all the forces is equal to change in kinetic energy. Reason: Work done by all the forces between time interval t1 and t2 is definitely zero.

The correct option is C Assertion is correct but Reason is incorrect.WALL=△K=Kf−Ki=12m(v2f−v2i)vf=vt2=Slope of S-t graph at t2vi=vt1=Slope of S-t graph at t1These two slopes are not necessarily equal.

Assertion :Displacement ( $S$ )-time ( $t$ ) graph of a particle moving in a straight line is shown in figure. Work done by all the forces is equal to change in kinetic energy. Reason: Work done by all the forces between time interval $t_{1}$ and $t_{2}$ is definitely zero.

The correct option is C Assertion is correct but Reason is incorrect.
$W_{A L L} = △ K = K_{f} - K_{i}$
$= \frac{1}{2} m (v_{f}^{2} - v_{i}^{2})$
$v_{f} = v_{t_{2}} = Slope of S-t graph at t_{2}$
$v_{i} = v_{t_{1}} = Slope of S-t graph at t_{1}$
These two slopes are not necessarily equal.