Q. In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
A.2 V
B.3 V
C.4 V
D.6 V
Solution
Using the potential gradient, we can find the voltage across the cell. The potential gradient is 6 V / 10 m = 0.6 V/m. At 4 m, the voltage is 0.6 V/m * 4 m = 2.4 V, which rounds to 2 V.
Q. In a potentiometer experiment, if the balance point is found at 4 m with a known voltage of 12 V, what is the unknown voltage if the balance point for it is at 6 m?
A.8 V
B.9 V
C.18 V
D.24 V
Solution
Using the formula V1/L1 = V2/L2, we have 12 V / 4 m = V2 / 6 m. Solving gives V2 = 18 V.
Q. In a potentiometer experiment, if the balance point shifts when a load is connected, what does it indicate?
A.The load has infinite resistance
B.The load has zero resistance
C.The load affects the circuit's total resistance
D.The potentiometer is faulty
Solution
A shift in the balance point indicates that the load connected affects the total resistance in the circuit, altering the potential difference across the potentiometer wire.
Correct Answer: C — The load affects the circuit's total resistance
Q. In a potentiometer experiment, if the balancing length is found to be 4m for a cell of unknown EMF, what is the EMF if the potential gradient is 3 V/m?
A.6 V
B.8 V
C.12 V
D.15 V
Solution
EMF = Potential Gradient × Balancing Length = 3 V/m × 4 m = 12 V.
Q. In a potentiometer experiment, if the balancing length is found to be 50 cm for a cell of emf 1.5V, what is the potential gradient if the total length of the wire is 100 cm?
A.3 V/m
B.1.5 V/m
C.0.5 V/m
D.2 V/m
Solution
The potential gradient is V/L = 1.5V/0.5m = 3 V/m.
Q. In a potentiometer experiment, if the known voltage is increased, what effect does it have on the balance point?
A.Balance point moves towards the positive terminal
B.Balance point moves towards the negative terminal
C.Balance point remains unchanged
D.Balance point becomes unstable
Solution
Increasing the known voltage will cause the balance point to move towards the positive terminal, as a higher voltage requires a longer length of wire to achieve balance.
Correct Answer: A — Balance point moves towards the positive terminal
Q. In a potentiometer experiment, if the known voltage is increased, what happens to the balance point?
A.It moves towards the positive terminal.
B.It moves towards the negative terminal.
C.It remains unchanged.
D.It becomes unstable.
Solution
Increasing the known voltage will cause the balance point to move towards the positive terminal, as a higher voltage requires a longer length of wire to balance.
Correct Answer: A — It moves towards the positive terminal.
Q. In a potentiometer experiment, if the null point is found at 75cm with a known emf of 1.5V, what is the potential gradient if the total length of the wire is 150cm?
A.1 V/m
B.2 V/m
C.3 V/m
D.4 V/m
Solution
The potential gradient is V/L = 1.5V/0.75m = 2 V/m.
Q. In a potentiometer experiment, if the wire is made of a material with higher resistivity, what will be the effect on the potential gradient?
A.It will increase
B.It will decrease
C.It will remain the same
D.It will become zero
Solution
If the wire is made of a material with higher resistivity, the potential gradient will decrease because the resistance increases, leading to a lower current for the same voltage.
Q. In a potentiometer setup, if the known voltage is 6V and the unknown voltage is balanced at 30 cm, what is the potential gradient if the total length of the wire is 120 cm?
A.2 V/m
B.1.5 V/m
C.3 V/m
D.4 V/m
Solution
The potential gradient is V/L = 6V/0.3m = 20 V/m, but since the total length is 1.2m, the gradient is 5 V/m.
Q. In a potentiometer setup, if the known voltage is increased while keeping the length of the wire constant, what happens to the balance point?
A.It moves towards the positive terminal
B.It moves towards the negative terminal
C.It remains unchanged
D.It becomes unstable
Solution
If the known voltage is increased, the balance point will move towards the positive terminal, as a higher voltage will require a longer length of wire to achieve balance.
Correct Answer: A — It moves towards the positive terminal
Q. In a potentiometer setup, if the known voltage is increased, what happens to the length of the wire required to balance the unknown voltage?
A.It increases
B.It decreases
C.It remains the same
D.It becomes zero
Solution
If the known voltage is increased, a longer length of wire will be required to balance the unknown voltage, as the potential gradient remains constant.
Q. In a potentiometer setup, if the wire has a resistance of 10 ohms and a current of 0.5 A flows through it, what is the potential drop across the wire?
A.2.5 V
B.5 V
C.10 V
D.15 V
Solution
The potential drop is calculated using Ohm's law: V = IR = 0.5 A * 10 ohms = 5 V.
Q. In a potentiometer setup, if the wire is made of a material with higher resistivity, what will be the effect on the measurement?
A.Measurements will be more accurate
B.Measurements will be less accurate
C.There will be no effect
D.It will not work
Solution
Higher resistivity increases the resistance of the wire, which can lead to a larger voltage drop along the wire, potentially affecting the accuracy of the measurements.
Correct Answer: B — Measurements will be less accurate
Q. In a practical Wheatstone bridge, what is the effect of temperature on resistance measurements?
A.Temperature has no effect
B.Resistance increases with temperature
C.Resistance decreases with temperature
D.It depends on the material
Solution
The effect of temperature on resistance measurements in a Wheatstone bridge depends on the material of the resistors, as different materials have different temperature coefficients.
