A conductor A is given a charge of amount $+$ Q and then placed inside a deep metal cab B, without touching it:

the potential of A does not change when it is placed inside B

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if B is earthed,

+

Q amount of charge will flow from it into the earth

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if B is earthed, the potential of A will be reduced

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either(b) or (c) are true, or both are true only if the outer surface of B is connected to the earth and not its inner surface

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Solution

The correct options are
A the potential of A does not change when it is placed inside B
B if B is earthed, $+$ Q amount of charge will flow from it into the earth
C if B is earthed, the potential of A will be reduced
We know that the charge inside the metal is zero.
So when A is placed inside the metal B, the potential of A will not change.
We have assumed the earth's potential to be zero. So when B is earthed the charge Q of A will flow from higher potential to lower potential and also the potential of A will reduce.

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A conductor A is given a charge of amount +Q and then placed inside a deep metal cab B, without touching it:

A conductor A is given a charge of amount $+$ Q and then placed inside a deep metal cab B, without touching it: