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  4. In the circuit shown, when keys K1 and K2 both are closed, the ammeter reads I0. But when K1 is open and K2 is closed the ammeter reads I0 / 2. Assuming that ammeter resistance is much less than R2, the values of r and R1 are

Q. In the circuit shown, when keys and both are closed, the ammeter reads . But when is open and is closed the ammeter reads . Assuming that ammeter resistance is much less than , the values of and are

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Solution:

When and both are closed is short circuited and circuit resistance will be

When is open and is closed, current remains half.
Therefore net resistance of the circuit becomes two times.

For the given options in questions, above equation is satisfied for
and

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