For two statements are given - one labelled Assertion (A) and the… - Vidyadip

MCQ

For two statements are given $-$ one labelled Assertion $(A)$ and the other labelled Reason $(R).$ Select the correct answer to these questions from the codes $\ce{(a), (b), (c)}$ and $(d)$ as given below:
Assertion : In a chain of bulbs, $50$ bulbs are joined in series. One bulb is removed now and circuit is completed again. If the remaining $49$ bulbs are again connected in series across the same supply, then light gets decreased in the room.
Reason : Net resistance of $49$ bulbs will be less than $50$ bulbs.

A
Both $A$ and $R$ are true, and $R$ is correct explanation of the assertion.
B
Both $A$ and $R$ are true, but $R$ is not the correct explanation of the assertion.
C
$A$ is true, but $R$ is false.
✓
$A$ is false, but $R$ is true.

✓

Answer

Correct option: D.

$A$ is false, but $R$ is true.

Since the bulbs are joined in series, so when one bulb is removed from chain then the resistance of the chain is decreased, hence current flowing through each bulb is increased. As heat produced $\propto\text{i}^2,$ hence light gets increased in the room.

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