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  • In an experiment using a meter bridge, a known resistance  is connected to one end of the bridge wire, and an

In an experiment using a meter bridge, a known resistance R_{1} is connected to one end of the bridge wire, and an unknown resistance R_{x} is connected to the other end. A galvanometer is used to detect the null point. The length of the bridge wire is L=100 \mathrm{~cm}, and the known resistance R_{1} is 5 \Omega. The null point is obtained at a distance d=60 \mathrm{~cm} from the end with R_{1}.

The unknown resistance R_{x} is:

Option: 1

3 \Omega


Option: 2

4.5 \Omega


Option: 3

7.5 \Omega


Option: 4

8 \Omega


Answers (1)

best_answer

The meter bridge setup uses the principle of Wheatstone's bridge, where the ratio of resistances is balanced. The equation for the unknown resistance R_{x}can be expressed as: 

R_{x}=\frac{R_{1} \cdot d}{L-d}

Given:

\begin{aligned} R_{1} & =5 \Omega \\ L & =100 \mathrm{~cm} \\ d & =60 \mathrm{~cm} \end{aligned}

Substitute the values into the equation:

R_{x}=\frac{5 \Omega \cdot 60 \mathrm{~cm}}{100 \mathrm{~cm}-60 \mathrm{~cm}}=\frac{300 \mathrm{~cm} \cdot \Omega}{40 \mathrm{~cm}}=7.5 \Omega

So, the calculated value of R_{x} is 7.5 \Omega,

 

Posted by

Devendra Khairwa

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