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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

A body falls freely under the action of gravity from a height \(\mathrm{h}\) above the ground. $$ \begin{array}{|l|l|} \hline \text { Column - i } & \text { Column - ii } \\ \hline \text { (a) P.E. }=2 \text { (K.E.) } & \text { (P) constant at every point } \\ \hline \text { (b) P.E. }=\text { K.E. } & \text { (Q) at height }(\mathrm{h} / 3) \\ \hline \text { (c) P.E. }=(1 / 2) \text { (K.E.) } & \text { (R) at height }(2 \mathrm{~h} / 3) \\ \hline \text { (d) P.E.+ K.E. } & \text { (S) at height }(\mathrm{h} / 2) \\ \hline \end{array} $$ (A) \(a-P, b-Q, c-R, d-S\) (B) $\mathrm{a}-\mathrm{Q}, \mathrm{b}-\mathrm{P}, \mathrm{c}-\mathrm{S}, \mathrm{d}-\mathrm{R}$ (C) $\mathrm{a}-\mathrm{S}, \mathrm{b}-\mathrm{R}, \mathrm{c}-\mathrm{Q}, \mathrm{d}-\mathrm{P}$ (D) $\mathrm{a}-\mathrm{R}, \mathrm{b}-\mathrm{S}, \mathrm{c}-\mathrm{Q}, \mathrm{d}-\mathrm{P}$

A force of \(7 \mathrm{~N}\), making an angle \(\theta\) with the horizontal, acting on an object displaces it by \(0.5 \mathrm{~m}\) along the horizontal direction. If the object gains K.E. of \(2 \mathrm{~J}\), what is the horizontal component of the force? (A) \(2 \mathrm{~N}\) (B) \(4 \mathrm{~N}\) (C) \(1 \mathrm{~N}\) (D) \(14 \mathrm{~N}\)

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: When a gas is allowed to expand, work done by gas is positive. Reason: Force due to gaseous pressure and displacement (of position) on in the same direction. (A) 1 (B) 2 (C) 3 (D) 4

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: Both, a stretched spring and a compressed spring have potential energy. Reason: Work is done against the restoring force in each case. (A) 1 (B) 2 (C) 3 (D) 4

If a man increase his speed by \(2 \mathrm{~m} / \mathrm{s}\), his $\mathrm{K} . \mathrm{E}$. is doubled, the original speed of the man is (A) \((2+2 \sqrt{2}) \mathrm{m} / \mathrm{s}\) (B) \((2+\sqrt{2}) \mathrm{m} / \mathrm{s}\) (C) \(4 \mathrm{~m} / \mathrm{s}\) (D) \((1+2 \sqrt{2}) \mathrm{m} / \mathrm{s}\)
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