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Chapter 12: Problem 1854

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 series combination of cells is used when their internal resistance is much smaller than the external resistance. Reason: It follows from the relation \(\mathrm{I}=\\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\\}\) Where the symbols have their standard meaning. (A) a (B) \(\mathrm{b}\) (C) \(c\) (D) \(\mathrm{d}\)

Short Answer

Expert verified
\( \boxed{(b)}\) Both assertion and reason are true, but reason is not the correct explanation of the assertion.

Step by step solution

01

Understanding Assertion

The assertion states that a series combination of cells is preferred when their internal resistance is much smaller than the external resistance. In a series combination, each cell's internal resistance is added, and their emfs are also added. This arrangement is suitable when we want to achieve a higher emf without significantly affecting the overall internal resistance.
02

Understanding Reason

The reason provided to support the assertion is the relation \(\mathrm{I}=\\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\\}\), where: - I is the current flowing through the circuit, - n is the number of cells connected in series, - E is the emf of each cell, - R is the external resistance of the circuit, - r is the internal resistance of each cell. This formula is used to calculate the current flowing through the circuit when cells are connected in series.
03

Analyzing Assertion and Reason

The assertion is true because a series connection of cells increases the effective emf of the circuit without increasing internal resistance significantly when the internal resistance is much smaller than the external resistance. The reason (formula) is also true, as it is a standard formula representing the relationship between current, cells emf, external resistance, and internal resistance in a series-connected circuit. However, the formula itself doesn't provide an explanation or support for the assertion.
04

Comparing With Given Options

Based on the analysis in step 3, we have: - Both assertion and reason are true. - The reason (formula) does not directly support the assertion. Now let's compare this with the given options: (a) Both assertion and reason are true, and the reason is the correct reclamation of the assertion. (Incorrect) (b) Both assertion and reason are true, but reason is not the correct explanation of the assertion. (Correct) (c) Assertion is true, but the reason is false. (Incorrect) (d) Both, assertion and reason are false. (Incorrect) The correct answer is option (b).

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Most popular questions from this chapter

The resistance of the series combination of two resistances is \(\mathrm{S}\), when they are joined in parallel the total resistance is \(\mathrm{P}\) If $S=n P\(, then the minimum possible value of \)n$ is.... (A) 4 (B) 3 (C) 2 (D) 1

If \(\sigma_{1}, \sigma_{2}\), and \(\sigma_{3}\) are the conductance's of three conductor then equivalent conductance when they are joined in series, will be. (A) \(\sigma_{1}+\sigma_{2}+\sigma_{3}\) (B) $\left(1 / \sigma_{1}\right)+\left(1 / \sigma_{2}\right)+\left(1 / \sigma_{3}\right)$ (C) $\left\\{\left(\sigma_{1} \sigma_{2} \sigma_{3}\right) /\left(\sigma_{1}+\sigma_{2}+\sigma_{3}\right)\right\\}$ (D) None of these.

In each of the following questions, match column \(\mathrm{I}\) and column II and select the correct match out of the four given choices Column I \(\quad\) Column II (a) The unit of electrical resistivity is (p) \(\mathrm{m}^{2} \mathrm{~S}^{-1} \mathrm{~V}^{-1}\) (b) The unit of current density is (q) \(\Omega^{-1} \mathrm{~m}^{-1}\) (c) The unit of electrical conductivity is (r) \(\mathrm{Am}^{-2}\) (d) The unit of electric mobility is (s) \(\Omega \mathrm{m}\) (A) \(a-p, b-q, c-r, d-s\) (B) \(a-s, b-r, c-q, d-p\) (C) \(a-r, b-q, c-p, d-s\) (D) \(a-q, b-r, c-s, d-p\)

The resistance of the wire made of silver at \(27^{\circ} \mathrm{C}\) temperature is equal to \(2.1 \Omega\) while at \(100^{\circ} \mathrm{C}\) it is \(2.7 \Omega\) calculate the temperature coefficient of the resistivity of silver. Take the reference temperature equal to \(20^{\circ} \mathrm{C}\) (A) \(4.02 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}\) (B) \(0.402 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}\) (C) \(40.2 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}\) (D) \(4.02 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}\)

The temperature co-efficient of resistance of a wire is $0.00125^{\circ} \mathrm{k}^{-1}\(. Its resistance is \)1 \Omega\( at \)300 \mathrm{~K}$. Its resistance will be \(2 \Omega\) at. (A) \(1400 \mathrm{~K}\) (B) \(1200 \mathrm{~K}\) (C) \(1000 \mathrm{~K}\) (D) \(800 \mathrm{~K}\)
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