- 1(current)
Q. No.
In a metre bridge, there is an error due to excess resistance at the ends \(A\) & \(B.\) Due to this, the correct expression to be used is:
\(\dfrac PQ=\dfrac{\theta_A+l}{(100-l)+\theta_B},\)
where \(l\) is the measured balance length & \(\theta_A,\theta_B\) are the respective "end corrections". In the metre bridge shown in the figure, the following data was collected.
| \(P\) | \(Q\) | \(l\) |
| \(100~\Omega\) | \(100~\Omega\) | \(50~\text{cm}\) |
| \(42~\Omega\) | \(60~\Omega\) | \(41~\text{cm}\) |
| \(240~\Omega\) | \(x~\Omega\) | \(79~\text{cm}\) |
From the data, it can be concluded that:
1. \(\theta_A=\theta_B\)
2. \(\theta_A=2\theta_B\)
3. \(\theta_B=2\theta_A\)
4. \(\theta_A=-\theta_B\)
Subtopic: Â Meter Bridge |
 85%
Level 1: 80%+
Hints
In a metre bridge, there is an error due to excess resistance at the ends \(A\) & \(B.\) Due to this, the correct expression to be used is:
\(\dfrac PQ=\dfrac{\theta_A+l}{(100-l)+\theta_B},\)
where \(l\) is the measured balance length & \(\theta_A,\theta_B\) are the respective "end corrections". In the metre bridge shown in the figure, the following data was collected.
| \(P\) | \(Q\) | \(l\) |
| \(100~\Omega\) | \(100~\Omega\) | \(50~\text{cm}\) |
| \(42~\Omega\) | \(60~\Omega\) | \(41~\text{cm}\) |
| \(240~\Omega\) | \(x~\Omega\) | \(79~\text{cm}\) |
The value of \(\theta_A,\) from the data, is:
1. \(1~\text{cm}\)
2. \(0.5~\text{cm}\)
3. \(2~\text{cm}\)
4. \(-1~\text{cm}\)
Subtopic: Â Meter Bridge |
 81%
Level 1: 80%+
Hints
In a metre bridge, there is an error due to excess resistance at the ends \(A\) & \(B.\) Due to this, the correct expression to be used is:
\(\dfrac PQ=\dfrac{\theta_A+l}{(100-l)+\theta_B},\)
where \(l\) is the measured balance length & \(\theta_A,\theta_B\) are the respective "end corrections". In the metre bridge shown in the figure, the following data was collected.
| \(P\) | \(Q\) | \(l\) |
| \(100~\Omega\) | \(100~\Omega\) | \(50~\text{cm}\) |
| \(42~\Omega\) | \(60~\Omega\) | \(41~\text{cm}\) |
| \(240~\Omega\) | \(x~\Omega\) | \(79~\text{cm}\) |
The value of the unknown resistance \((x)\) is:
1. \(63~\Omega\)
2. \(66~\Omega\)
3. \(60~\Omega\)
4. \(64~\Omega\)
Subtopic: Â Meter Bridge |
 68%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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