Question

Assertion: Two resistances are having value R each. Their equivalent resistance is R2. Reason: Given Resistances are connected in parallel.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
pls answer fast..

Answer 1

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Answer 2

Answer:

(A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Explanation:

R1 = R

R2 = R

When resistors are connected in parallel ,

Equivalent resistance = Resistor 1 + resistor 2

$\frac{1}{RT} = \frac{1}{R1} + \frac{1}{R2} \\\frac{1}{RT} = \frac{1}{R} + \frac{1}{R} \\\frac{1}{RT} = \frac{2}{R} \\RT = \frac{R}{2}$ (Here RT represents Total resistance)

Hence equivalent resistance = $\frac{R}{2}$ when connected in parallel .

Therefore A  and R are true and R is the correct explanation of A .

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