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) \(\mathrm{d}\)

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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