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Chapter 12: Problem 1852

Assertion and reason are given in following questions each question has four options one of them is correct select it. (a) Both assertion and reason are true and the reason is correct reclamation of the assertion. (b) Both assertion and reason are true, but reason is not correct explanation of the assertion. (c) Assertion is true, but the reason is false. (d) Both, assertion and reason are false. Assertion: A potentiometer of longer length is used for accurate measurement. Reason: The potential gradient for a potentiometer of longer length with a given source of e.m.f become small. (A) a (B) \(b\) (C) (D) d

Short Answer

Expert verified
\( \boxed{ (A) a } \)

Step by step solution

01

Understand the concept of a potentiometer

A potentiometer is a measuring instrument that measures the voltage without drawing any current from the circuit. It comprises a long wire with a constant potential difference applied across it, and a sliding contact that can slide over the length of the wire. The position of this sliding contact on the wire determines the potential at that point. By comparing this known potential to an unknown potential, the unknown potential can be accurately measured.
02

Understand potential gradient and its impact on the accuracy of measurement

The potential gradient is the potential difference per unit length along a potentiometer wire. Its value depends on the length of the wire and the total potential difference applied across it. A smaller potential gradient indicates a smaller change in potential difference for a given change in length, which allows for finer adjustments in the sliding contact and, hence, a more accurate measurement. When the length of the potentiometer wire increases, the potential gradient becomes smaller, assuming that the total potential difference remains constant.
03

Analyze the given assertion and reason

The assertion states: "A potentiometer of longer length is used for accurate measurement." This statement is true because a longer potentiometer wire provides a smaller potential gradient, allowing for finer adjustments and more accurate measurements. The reason given is: "The potential gradient for a potentiometer of longer length with a given source of e.m.f become small." This statement is also true, as it correctly states that the potential gradient becomes smaller with a longer wire length, given a constant source of e.m.f.
04

Choose the correct option

Since both the assertion and reason are true, and the reason correctly explains the assertion, the correct answer is: (A) a

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Most popular questions from this chapter

A parallel combination of three resistors takes a current of \(7.5 \mathrm{~A}\) form a \(30 \mathrm{~V}\) supply, It the two resistors are \(10 \Omega\) and $12 \Omega$ find which is the third one? (A) \(4 \Omega\) (B) \(15 \Omega\) (C) \(12 \Omega\) (D) \(22 \Omega\)

How would you arrange 48 cells each of e.m.f \(2 \mathrm{~V}\) and internal resistance \(1.5 \Omega\) so as to pass maximum current through the external resistance of \(2 \Omega\) ? (A) 2 cells in 24 groups (B) 4 cells in 12 groups (C) 8 cells in 6 groups (D) 3 cells in 16 groups

A circuit with an infinite no of resistance is shown in fig. the resultant resistance between \(\mathrm{A}\) and \(\mathrm{B}\), when $\mathrm{R}_{1}=1 \Omega\( and \)\mathrm{R}_{2}=2 \Omega$ will be (A) \(4 \Omega\) (B) \(1 \Omega\) (C) \(2 \Omega\) (D) \(3 \Omega\)

The drift velocity of free electrons through a conducting wire of radius \(\mathrm{r}\), carrying current \(\mathrm{I}\), is \(\mathrm{V}_{\mathrm{d}}\) if the same current is passed through a conductor of radius \(2 \mathrm{r}\) what will be the drift velocity? (A) \(\left(\mathrm{V}_{\mathrm{d}} / 4\right)\) (B) \(\mathrm{V}_{\mathrm{d}}\) (C) \(2 \mathrm{~V}_{\mathrm{d}}\) (D) \(24 \mathrm{~V}_{\mathrm{d}}\)

The length of a potentiometer wire is \(600 \mathrm{~cm}\) and it carries a current of \(40 \mathrm{~m} \mathrm{~A}\) for cell of emf \(2 \mathrm{~V}\) and internal resistance \(10 \Omega\), the null point is found to be at $500 \mathrm{~cm}$ on connecting a voltmeter across the cell, the balancing length is decreased by \(10 \mathrm{~cm}\) The resistance of the voltmeter is (A) \(500 \Omega\) (B) \(290 \Omega\) (C) \(49 \Omega\) (D) \(20 \Omega\)
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