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

$A$ magnet of magnetic moment $50\,\hat{i}\,\text{A}\,\text{m}^2$ is placed along the $x$-axis in a magnetic field $\vec{B} = (0.5\,\hat{i} + 3.0\hat{j})\,\text{T}$. The torque acting on the magnet is:

An electric dipole of length $4 \ cm$ is placed with its axis making an angle of $30^{\circ}$ to a uniform electric field of $10^6 \ N/C$. If it experiences a torque of $20 \sqrt{3} \ Nm$,then the potential energy of the dipole is: (in $J$)

If the distance between the foci of an ellipse is $6$ and the length of the minor axis is $8$,then the eccentricity is

If $R$ is the set of all real numbers and $f: R-\{2\} \rightarrow R$ is defined by $f(x)=\frac{2+x}{2-x}$ for $x \in R-\{2\}$,find the range of $f(x)$.

All wires have the same resistance $r$. The equivalent resistance between $A$ and $B$ is $R$ when the keys $K_1$ and $K_2$ are open. Now,if the keys are closed,what will be the new equivalent resistance?

Vedclass Test Series

Exam Paper Generator

Online Exam Module