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Chapter 4: Problem 523

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

Short Answer

Expert verified
(A) 1

Step by step solution

01

Understand the Assertion statement

When a gas is allowed to expand, work done by the gas is positive. This statement refers to the process of a gas expanding due to its pressure. We need to check if the work done in this process is positive.
02

Understand the Reason statement

Force due to gaseous pressure and displacement (of position) on in the same direction. This statement explains the reason behind the positive work done by the gas during expansion. The force due to gaseous pressure and the displacement of the gas particles must be in the same direction for the work done to be positive.
03

Determine if Assertion and Reason are true

The Assertion is true because when a gas is allowed to expand, it exerts force on its surroundings (e.g., the walls of a container) that ultimately results in positive work done. The Reason is also true, as the force exerted by the gas is in the same direction as the displacement of the gas particles, leading to positive work done.
04

Determine if Reason is the correct explanation of Assertion

The Reason indeed explains the Assertion correctly because the positive work done by the expanding gas is due to the force exerted by the gas and the displacement of the gas particles being in the same direction. This means that option 1 is the correct answer.
05

Choose the correct option

Since we found that both Assertion and Reason statements are true and the Reason statement provides the correct explanation for the given Assertion, we should choose option (A) 1 as our answer.

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Most popular questions from this chapter

A body of mass \(6 \mathrm{~kg}\) is under a force, which causes a displacement in it given by $\mathrm{S}=\left[\left(2 \mathrm{t}^{3}\right) / 3\right](\mathrm{in} \mathrm{m}) .$ Find the work done by the force in first one seconds. (A) \(2 \mathrm{~J}\) (B) \(3.8 \mathrm{~J}\) (C) \(5.2 \mathrm{~J}\) (D) \(24 \mathrm{~J}\)

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

A particle is moving under the influence of a force given by \(\mathrm{F}=\mathrm{kx}\), where \(\mathrm{k}\) is a constant and \(\mathrm{x}\) is the distance moved. What energy (in joule) gained by the particle in moving from \(\mathrm{x}=1 \mathrm{~m}\) to \(\mathrm{x}=3 \mathrm{~m} ?\) (A) \(2 \mathrm{k}\) (B) \(3 \mathrm{k}\) (C) \(4 \mathrm{k}\) (D) \(9 \mathrm{k}\)

A ball is allowed to fall from a height \(20 \mathrm{~m}\). If there is \(30 \%\) loss of energy due to impact, then after one impact ball will go up to (A) \(18 \mathrm{~m}\) (B) \(16 \mathrm{~m}\) (C) \(12 \mathrm{~m}\) (D) \(14 \mathrm{~m}\)

A bomb of mass \(10 \mathrm{~kg}\) explodes into 2 pieces of mass $4 \mathrm{~kg}\( and \)6 \mathrm{~kg}\(. The velocity of mass \)4 \mathrm{~kg}$ is \(1.5 \mathrm{~m} / \mathrm{s}\), the K.E. of mass \(6 \mathrm{~kg}\) is ....... (A) \(3.84 \mathrm{~J}\) (B) \(9.6 \mathrm{~J}\) (C) \(3.00 \mathrm{~J}\) (D) \(2.5 \mathrm{~J}\)
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