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Chapter 4: Problem 528

Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. (1) If both assertion and reason and the reason is the correct explanation of the Assertion. (2) If both assertion and reason are true but reason is not the correct explanation of the assertion. (3) If the assertion is true but reason is false. (4) If the assertion and reason both are false. Assertion: A weight lifter does no work in holding the weight up. Reason: Work done is zero because distance moved is zero. (A) 1 (B) 2 (C) 3 (D) 4

Short Answer

Expert verified
The correct answer is (A) 1, as both the Assertion and Reason are true and the Reason correctly explains the Assertion.

Step by step solution

01

Assertion

A weight lifter does no work in holding the weight up.
02

Reason

Work done is zero because the distance moved is zero. #Phase 2: Analyzing the given options#
03

Option 1

If both assertion and reason are true and reason is the correct explanation of the Assertion.
04

Option 2

If both assertion and reason are true but reason is not the correct explanation of the assertion.
05

Option 3

If the assertion is true but reason is false.
06

Option 4

If the assertion and reason both are false. #Solution:#
07

Analysis of Assertion

When a weightlifter holds the weight up, there is a force exerted by the weightlifter to counteract the force of gravity. Even though the weightlifter is applying a force, the weight is not being displaced, which means there's no movement. Since work is the product of force and displacement, and there's no displacement, the work done will be zero. So, the Assertion is true.
08

Analysis of Reason

The work done is indeed zero because the distance the weight is moved is zero while it is being held up. The Reason is correct. Now let's compare the given options with our analysis: - Option 1: Both Assertion and Reason are true, and Reason is the correct explanation of the Assertion. - Options 2, 3, and 4 do not match our analysis since both Assertion and Reason are true and Reason is indeed the correct explanation. Therefore, the answer to this exercise is \( \boxed{\textbf{(A) 1}} \).

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Most popular questions from this chapter

Assertion and Reason are given in following questions. Each question have four option. One of them is correct it. (1) If both assertion and reason and the reason is the correct explanation of the Assertion. (2) If both assertion and reason are true but reason is not the correct explanation of the assertion. (3) If the assertion is true but reason is false. (4) If the assertion and reason both are false. Assertion: Mountain roads rarely go straight up the slope. Reason: slope of mountains are large, therefore, more chances of vehicle to slip from roads. (A) 1 (B) 2 (C) 3 (D) 4

An engine pump is used to pump a liquid of density \(\rho\) continuously through a pipe of cross-sectional area \(\mathrm{A}\). If the speed of flow of the liquid in the pipe is \(\mathrm{v}\), then the rate at which kinetic energy is being imparted to the liquid is (A) \((1 / 2) \mathrm{A} \rho \mathrm{V}^{3}\) (B) \((1 / 2) \mathrm{A} \rho \mathrm{V}^{2}\) (C) \((1 / 2) \mathrm{A} \rho \mathrm{V}\) (B) \(\mathrm{ApV}\)

A billiard ball moving with a speed of \(8 \mathrm{~m} / \mathrm{s}\) collides with an identical ball originally at rest. If the first ball stops after collision, then the second ball will move forward with a speed of .... (elastic collision) (A) \(8 \mathrm{~m} / \mathrm{s}\) (B) \(4 \mathrm{~m} / \mathrm{s}\) (C) \(16 \mathrm{~m} / \mathrm{s}\) (D) \(1.0 \mathrm{~m} / \mathrm{s}\)

A sphere of mass \(\mathrm{m}\) moving the velocity \(\mathrm{v}\) enters a hanging bag of sand and stops. If the mass of the bag is \(\mathrm{M}\) and it is raised by height \(\mathrm{h}\), then the velocity of the sphere was (A) \([\\{\mathrm{m}+\mathrm{M}\\} / \mathrm{m}] \sqrt{(2 \mathrm{gh})}\) (B) \((\mathrm{M} / \mathrm{m}) \sqrt{(} 2 \mathrm{gh})\) (C) \([\mathrm{m} /\\{\mathrm{M}+\mathrm{m}\\}] \sqrt{(2 \mathrm{gh})}\) (D) \((\mathrm{m} / \mathrm{M}) \sqrt{(2 \mathrm{gh})}\)

A spherical ball of mass \(15 \mathrm{~kg}\) stationary at the top of a hill of height \(82 \mathrm{~m} .\) It slides down a smooth surface to the ground, then climbs up another hill of height \(32 \mathrm{~m}\) and finally slides down to horizontal base at a height of \(10 \mathrm{~m}\) above the ground. The velocity attained by the ball is (A) \(30 \sqrt{10 \mathrm{~m} / \mathrm{s}}\) (B) \(10 \sqrt{30 \mathrm{~m} / \mathrm{s}}\) (C) \(12 \sqrt{10} \mathrm{~m} / \mathrm{s}\) (D) \(10 \sqrt{12} \mathrm{~m} / \mathrm{s}\)
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