# Given that $$\overrightarrow{F}=2\hat i+3\hat j$$ is force and $$\overrightarrow{r}=3\hat i-2\hat j$$ is the displacement vector. Which of the following statements is correct? 1. Work done is zero, torque is $$13$$ units. 2. Work done is $$13$$ units, torque is zero. 3. Both work done and torque are zero. 4. Both work done and torque are $$13$$ units.

Subtopic:  Work done by constant force |
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Given below are two statements:
 Assertion (A): Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Reason (R): Principle of conservation of momentum holds true for all kinds of collisions.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.
Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Reason (R): In an elastic collision, the linear momentum of the system is conserved

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Collisions |
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Select the correct option based on the statements given below:
 Assertion: When a ball collides elastically with a floor, it rebounds with the same velocity with which it struck the floor. Reason: Momentum of the (earth $$+$$ ball) system remains constant.

 1 Both the assertion and reason are true and reason explains the assertion. 2 Both the assertion and reason are true but reason does not explain the assertion. 3 Assertion is true but reason is false. 4 Assertion is false but reason is true.
Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): A quick collision between two bodies is more violent than a slow collision, even when the initial and final velocities are identical. Reason (R): The change in momentum is greater in the first case.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): Water at the foot of the waterfall is always at a different temperature from that at the top. Reason (R): The potential energy of water at the top is converted into heat energy during falling.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Conservation of Mechanical Energy |
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Given below are two statements:
 Assertion (A): According to the law of conservation of mechanical energy change in potential energy is equal and opposite to the change in kinetic energy. Reason (R): Mechanical energy is not a conserved quantity.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.

Subtopic:  Conservation of Mechanical Energy |
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Given below are two statements:
 Assertion (A): When a stationary bomb explodes into two pieces, their speeds are in the inverse ratio of their masses. Reason (R): The explosion does not violate the law of conservation of linear momentum.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.

Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): Work done by friction on a body sliding down an inclined plane is negative. Reason (R): Work done is less than zero if the angle between force and displacement is acute or both are in the same direction.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.
Subtopic:  Concept of Work |
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Given below are two statements:
 Assertion (A): The work done on bringing a body down from the top to the base along a frictionless inclined plane is the same as the work done in bringing it down the vertical side. Reason (R): The gravitational force on the body along the inclined plane is the same as that along the vertical side.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.
Subtopic:  Work done by constant force |
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