First slide

combination of resistance

Question

In the arrangement shown, no deflection will be observed in the galvanometer if

Easy

A

$x = 2 Ω, y = 4 Ω$
B

$x = 4 Ω, y = 6 Ω$
C

$x = 6 Ω, y = 2 Ω$
D

$x = 8 Ω, y = 8 Ω$

Solution

The network is a balanced whetstone bridge.
$∴ \frac{xy / (x + y)}{(x + y)} = \frac{4}{16}$
$\Rightarrow {(x + y)}^{2} = 4 xy \Rightarrow {(x + y)}^{2} = 0 \Rightarrow x = y$

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