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Q1.

In a Wheatstone's bridge, three resistance 'Q', 'R' and 'S' are connected in three arms and first arm is formed by three resistances '$P_1$', '$P_2$' and '$P_3$' in parallel. The condition for the bridge to be balanced is

(A)

$\dfrac{P_1 P_2 P_3 / (P_1 P_2 + P_2 P_3)}{Q} = \dfrac{S}{R}$

(B)

$\dfrac{P_1 P_2 P_3 / (P_2 P_3 + P_1 P_3 + P_1 P_2)}{Q} = \dfrac{S}{R}$

(C)

$\dfrac{P_1 P_2 P_3 / (P_2 P_3 + P_1 P_3 + P_1 P_2)}{Q} = \dfrac{R}{S}$

(D)

$\dfrac{P_1 P_3 + P_1 P_2}{P_1 P_2 P_3 Q} = \dfrac{S}{R}$

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Q2.

A galvanometer can be converted into a voltmeter of certain range by connecting a resistance of $990\ \Omega$ in series with it. When the resistance of $480\ \Omega$ is connected in series, the range is halved. The resistance of the galvanometer is

(A)

$20\ \Omega$

(B)

$30\ \Omega$

(C)

$40\ \Omega$

(D)

$50\ \Omega$

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