The figure shown gives value of R _ 1 #160; and R _ 2 the balance point for jockey is at 30 cm from A, When R _ 2 is shunted by a resistance of 10Ω , jockey has to slide 20 cm to obtain balance point. The values of R _ 1 and R _ 2 are 10 5 Ω ,5Ω 40 3 Ω , 40 7 Ω 40 7 Ω , 40 3 Ω None of these

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Question

A

\frac{10}{5} Ω, 5 Ω

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B

\frac{40}{3} Ω, \frac{40}{7} Ω

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C

\frac{40}{7} Ω, \frac{40}{3} Ω

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D

None of these

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Solution

The correct option is C $\frac{40}{7} Ω, \frac{40}{3} Ω$
$\begin{matrix} R_{1} \cdot 70 = R_{2} \cdot 30 \Rightarrow 7 R_{1} = 3 R_{2} - (1) R_{1} (50) = (\frac{R_{2} \times 10}{R_{2} + 10}) 50 \Rightarrow R_{1} = \frac{10 R_{2}}{10 + R_{2}} = 30 + 3 R_{2} = 70 \Rightarrow R_{2} = \frac{40}{3} & R_{1} = \frac{40}{7} H e n c e, o p t i o n C i s c o r r e c t a n s w e r . \end{matrix}$

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