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A potentiometer \({PQ}\) is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads \(1.0~\text{A}\) when the two-way key \({K}_3\) is open. The balance point is at a length \(l_1~\text{cm}\) from \({P}\) when the two-way key \({K}_3\) is plugged in between \(2\) and \(1,\) while the balance point is at a length \(l_2~\text{cm}\) from \({P}\) when the key \({K}_3\) is plugged in between \(3\) and \(1.\) The ratio of two resistances \(\frac{{R}_1}{{R}_2},\) is found to be:
    
1. \(\frac{l_1}{l_1+l_2}\)
2. \(\frac{l_2}{l_2-l_1}\)
3. \(\frac{l_1}{l_1-l_2}\)
4. \(\frac{l_1}{l_2-l_1}\)
Q1:
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Subtopic:  Meter Bridge |
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On interchanging the resistances, the balance point of a meter bridge shifts to the left by \(10~\text{cm}\). The resistance of their series combination is \(1~\text{k}\Omega\). How much was the resistance on the left slot before interchanging the resistances?
1. \(990~\Omega\)
2. \(505~\Omega\)
3. \(550~\Omega\)
4. \(910~\Omega\)

Q2:
From NCERT JEE
Subtopic:  Meter Bridge |
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In a meter bridge, as shown in the figure. It is given that resistance \(Y = 12.5~ \Omega\) and that balance are obtained at a distance \(39.5 ~\text{cm}\) from the end \(A\) (by Jockey \(J\)). After interchanging the resistances \(X\) and \(Y,\) a new balance point is found at a distance \(l_2\) from the end \(A.\) What are the values of \(X\) and \(l_2?\)


1. \(19.15~\Omega ~\text{and } 39.5 ~\text{cm}\)
2. \(8.16~\Omega ~\text{and } 60.5 ~\text{cm}\)
3. \(8.16~\Omega ~\text{and } 39.5 ~\text{cm}\)
4. \(19.15~\Omega ~\text{and } 60.5 ~\text{cm}\)
 
Q3:
From NCERT JEE
Subtopic:  Meter Bridge |
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A meter bridge setup is shown in the figure. It is used to determine an unknown resistance \(R\) using a given resistor of \(15~\Omega.\) The galvanometer \((G)\) shows a null deflection when the tapping key is at \(43~\text{cm}\) mark from end \(A\). If the end correction for end \(A\) is \(2~\text{cm}\), then the determined value of \(R\) will be:
           

1. \(19~\Omega\)
2. \( 22~\Omega\)
3. \(25~\Omega\)
4. \( 28~\Omega\)
Q4:
From NCERT JEE
Subtopic:  Meter Bridge |
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Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length \(l_1\) is \(40\) cm. Now an unknown resistance \(x\) is connected in series with \(P\) and the new balancing length is found to be \(80\) cm measured from the same end. Then the value of \(x\) will be:
       
1. \(10~\Omega\)
2. \(20~\Omega\)
3. \(30~\Omega\)
4. \(40~\Omega\)
Q5:
From NCERT JEE
Subtopic:  Meter Bridge |
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In a meter bridge experiment for measuring unknown resistance \(S\), the null point is obtained at a distance \(30\) cm from the left side as shown at point \(D\). If \(R\) is \(5.6~\text{k} \Omega\), then the value of unknown resistance \(S\) will be:
                    
1. \(24~\Omega\)
2. \(2400~\Omega\)
3. \(120~\Omega\)
4. \(3600~\Omega\)
Q6:
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Subtopic:  Meter Bridge |
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In the given figure of the meter bridge experiment, the balancing length \(AC\) corresponding to the null deflection of the galvanometer is \(40\) cm. The balancing length, if the radius of the wire \(AB\) is doubled, will be:
             
1. \(20\) cm
2. \(30\) cm
3. \(40\) cm
4. \(60\) cm
Q7:
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Subtopic:  Meter Bridge |
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Consider the meter bridge setup shown.
   
If a shunt resistance is added to \(3~\Omega\) resistor, the balance point shifts by 22.5 cm. The shunt resistance is equal to:
1. \(1~\Omega\)
2. \(2~\Omega\)
3. \(3~\Omega\)
4. \(4~\Omega\)
Q8:
JEE
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R): 
 
Assertion (A): For making a voltmeter, we prefer a voltmeter of resistance of 4000 Ω over a voltmeter of resistance 1000 Ω.
Reason (R): Voltmeter should be of higher resistance such that it draws less current from the circuit.
 
In the light of the above statements choose the correct answer from the options given below:
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
 

 
Q9:
JEE
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In the given meter bridge circuit, a null point is found at \(60 ~\text{cm}\) from the end \(A.\) The unknown resistance \(S\) (in \(\Omega\)) is:

1. \(60~\Omega\)
2. \(80~\Omega\)
3. \(70~\Omega\)
4. \(90~\Omega\)
Q10:
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Subtopic:  Meter Bridge |
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