In a meter bridge experiment,a resistance of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In a meter bridge experiment,let the balancing length be $l$ cm from the left end.According to the principle of the meter bridge,for the first cas

Vedclass · Accepted Answer

$11$

Vedclass · Answer

(C) In a meter bridge experiment,let the balancing length be $l$ cm from the left end.According to the principle of the meter bridge,for the first case: $\frac{9}{x} = \frac{l}{100 - l}$ ...$(i)$When the resistances are interchanged,the new balancing length becomes $l + 10$ cm (since $x > 9$,the balancing point shifts towards the higher resistance side).For the second case: $\frac{x}{9} = \frac{l + 10}{100 - (l + 10)} = \frac{l + 10}{90 - l}$ ...(ii)Multiplying equation $(i)$ and (ii),we get: $\frac{9}{x} 	imes \frac{x}{9} = \frac{l}{100 - l} 	imes \frac{l + 10}{90 - l} = 1$$l(l + 10) = (100 - l)(90 - l)$$l^2 + 10l = 9000 - 100l - 90l + l^2$$10l = 9000 - 190l$$200l = 9000 \Rightarrow l = 45 	ext{ cm}$.Substituting $l = 45$ in equation $(i)$:$\frac{9}{x} = \frac{45}{100 - 45} = \frac{45}{55} = \frac{9}{11}$Therefore,$x = 11 \Omega$.

Similar Questions

The halide of a metal $MX$ crystallizes in a $ccp$ structure ($NaCl$ type). If all the atoms situated on one of the tetrad axes are removed,what will be the simplest molecular formula of the halide?

The number of five-digit numbers divisible by $5$ that can be formed using the digits $0, 1, 2, 3, 4, 5$ without repetition is:

The equations of motion of a projectile are given by $x = 36 t$ metre and $2 y = 96 t - 9.8 t^2$ metre. The angle of projection is:

Which of the following hormones is used to induce callus formation from shoot tips?

If $f(x) = (x^2 - 1)^7$,then $f^{(14)}(x)$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module