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QJEEM23Ph93e7: JEE Main 2023 Physics - Class 12 JEEM23Ph93e7 Solution: In a metre bridge experiment the balance point is obtained if…

In a metre bridge experiment the balance point is obtained if the gaps are closed by 2 Ω\Omega and 3 Ω\Omega . A shunt of X Ω\Omega is added to 3 Ω\Omega resistor to shift the balancing point by 22.5 cm. The value of X is ___________.

Step-by-Step Verified Solution

1100−1=23\frac{1}{100-1}=\frac{2}{3}

⇒I=40 cm\Rightarrow I=40 \mathrm{~cm}

as 3Ω3 \Omega is shunted the balance point will shift towards 3Ω3 \Omega . So, new length l′=22.5+I=62.5l^{\prime}=22.5+I=62.5

So, 62.537.5=23x(3+x)\frac{62.5}{37.5}=\frac{2}{3 x}(3+x)

⇒x=2Ω\Rightarrow x=2 \Omega

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