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Work Energy And Power NEET Questions — Free MCQ Practice

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(ASSERTION & REASON) Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. Assertion : Linear momentum is conserved in both, elastic and inelastic collisions. Reason : Total energy is conserved in all such collisins.

A. If both assertion and reason and the reason is the correct explanation of the Assertion. B. If both assertion and reason are true but reason is not the correct explanation of the assertion. C. If the assertion is true but reason is false. D. If the assertion and reason both are false.

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Explanation

The assertion is that linear momentum is conserved in both elastic and inelastic collisions, which is true. The reason states that total energy is conserved in all such collisions. While energy conservation is true in elastic collisions, in inelastic collisions, only the total energy (kinetic energy + potential energy) is conserved, not just kinetic energy. Therefore, while both the assertion and reason are true, the reason does not correctly explain the assertion.

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(ASSERTION & REASON) Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. Assertion : Both, a stretched spring and a compressed spring have potential energy. Reason : Work is done against the restoring force in each case.

A. If both assertion and reason and the reason is the correct explanation of the Assertion. B. If both assertion and reason are true but reason is not the correct explanation of the assertion. C. If the assertion is true but reason is false. D. If the assertion and reason both are false.

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Explanation

The assertion says that both a stretched spring and a compressed spring have potential energy, which is true. The reason is that work is done against the restoring force in each case, which is also true. When a spring is either stretched or compressed, work is done against the spring's restoring force, storing potential energy in the spring. Therefore, the reason correctly explains the assertion.

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A force F = kx (where k is positive constant) is acting on a particle. Match column-I and column-II, regarding work done in displacing the particle. Column - I (a)From x = -4 to x = -2 (b)From x = -2 to x = -4 (c)From x = -2 to x = +2 Column - II (P) Positive (Q) zero (R) negative

A. a - R, b - P, c - Q B. a - P, b - Q, c - R C. a - R, b - Q, c - P D. a - Q, b - P, c - R

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A body falls freely under the action of gravity from a height h above the ground. Column - I (a) P.E. = 2(K.E.) (b) P.E. = K.E. (c) P.E. = 2 (K.E.) (d) P.E.+ K.E. Column - II (P) constant at every point (Q) at height h/3 (R) at height 2h/3
(S) at height h/2

A. a - P, b - Q, c - R, d - S B. a - Q, b - P, c - S, d - R C. a - S, b - R, c - Q, d - P D. a - R, b - S, c - Q, d - P

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Two vehicles moving on a horizontal road are stopped by same retarding force. Column - I (a) When they have same K.E. (b) When they have different masses but same velocity (c) When both have same momentum (d) When both have same mass but different velocities Column - II (P) faster body stop in larger distance (Q) larger body stops in larger distance. (R) heavier body stops in larger distance. (S) stopped in same distance.

A. a - P, b - Q, c - R, d - S B. a - Q, b - P, c - S, d - R C. a - S, b - R, c - Q, d - p D. a - R, b - S, c - Q, d - P

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Which of the following is perpendicular to $\hat{i} - \hat{j} - \hat{k}$ ?

A.

$\hat{i} + \hat{j} + \hat{k}$

B.

$- \hat{i} + \hat{j} + \hat{k}$

C.

$\hat{i} + \hat{j} - \hat{k}$

D.

None of these

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Explanation

$I f v e c t o r \vec{A} i s ⊥ t o \vec{B,} \vec{B} . \vec{A} = 0 C h e c k i n g a l l o p t i o n s a) (\hat{i} - \hat{j} - \hat{k}) . (\hat{i} + \hat{j} + \hat{k}) = 1 - 1 - 1 = - 1 (N o t p e r p e n d i c u l a r) b) (\hat{i} - \hat{j} - \hat{k}) . (\hat{- i} + \hat{j} + \hat{k}) = - 1 - 1 - 1 = - 3 (N o t p e r p e n d i c u l a r) c) (\hat{i} - \hat{j} - \hat{k}) . (\hat{i} + \hat{j} - \hat{k}) = - 1 - 1 + 1 = 1 (N o t p e r p e n d i c u l a r) S o, n o o p t i o n m a t c h e s . A n s w e r i s o p t i o n D$

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Two constant forces $F_{1} = 2 \hat{i} - 3 \hat{j} + 3 \hat{k} (N)$ and $F_{2} = \hat{i} + \hat{j} - 2 \hat{k} (N)$ act on a body and displace it from the position $r_{1} = \hat{i} + 2 \hat{j} - 2 \hat{k} (m)$ to the position $r_{2} = 7 \hat{i} + 10 \hat{j} + 5 \hat{k} (m)$ . What is the work done?

A.

9 Joule

B.

41 Joule

C.

-3 Joule

D.

None of these

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Explanation

(A)

$Net force = {\vec{F}}_{1} + {\vec{F}}_{2} ({\vec{F}}_{net}) = (2 \hat{i} - 3 \hat{j} + 3 \hat{k}) + (\hat{i} + \hat{j} - 2 \hat{k}) = 3 \hat{i} - 2 \hat{j} + \hat{k} Displacement ∆ \vec{r} = {\vec{r}}_{2} - {\vec{r}}_{1} = 6 \hat{i} + 8 \hat{j} + 7 \hat{k} Work done = Force . Displacement = {\vec{F}}_{net} . ∆ \vec{r} = (3 \hat{i} - 2 \hat{j} + \hat{k}) . (6 \hat{i} + 8 \hat{j} + 7 \hat{k}) = 18 - 16 + 7 = 9 J$

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The two vectors $A = 2 \hat{i} + \hat{j} + 3 \hat{k}$ and $B = 7 \hat{i} - 5 \hat{j} - 3 \hat{k}$ are -

A.

parallel

B.

perpendicular

C.

anti-parallel

D.

None of these

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Explanation

(B)

$\vec{A} . \vec{B} = 2 \times 7 + 1 \times (- 5) + 3 \times (- 3) = 14 - 5 - 9 = 0 \Rightarrow p e r p e n d i c u l a r$

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Two vectors $P = 2 \hat{i} + b \hat{j} + 2 \hat{k}$ and $Q = \hat{i} + \hat{j} + \hat{k}$ will be perpendicular if -

A.

b=0

B.

b=1

C.

b=2

D.

b=-4

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Explanation

$(D) F o r \vec{P} ⊥ \overset{}{\vec{Q}}, D o t p r o d u c t \vec{P} . \vec{Q} = 0 (2 \hat{i} + b j + 2 \hat{k}) . (\hat{i} + j + \hat{k}) = 0 2 + b + 2 = 0 b = - 4$

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A vector perpendicular to $(4 \hat{i} - 3 \hat{j})$ is -

A.

$4 \hat{i} + 3 \hat{j}$

B.

$7 \hat{k}$

C.

$6 \hat{i}$

D.

$3 \hat{i} - 4 \hat{j}$

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Explanation

(B) $(4 \hat{i} - 3 \hat{j}) . 7 \hat{k} = 0 S o \hat{k} i s t h e r e q u i r e d v e c t o r$

Work Energy And Power MCQs for NEET — Physics Questions with Answers

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