Q. If the resistance of one arm of a Wheatstone bridge is increased, what will happen to the balance condition?
A.
The bridge will remain balanced
B.
The bridge will become unbalanced
C.
The bridge will balance at a different point
D.
The bridge will short circuit
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Solution
Increasing the resistance in one arm will disturb the balance condition, causing the bridge to become unbalanced.
Correct Answer: B — The bridge will become unbalanced
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Q. If the resistance of one of the arms in a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge remains balanced.
B.
The bridge becomes unbalanced.
C.
The current through the galvanometer increases.
D.
The potential difference across the galvanometer decreases.
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Solution
Increasing the resistance in one arm disrupts the balance condition, causing the bridge to become unbalanced.
Correct Answer: B — The bridge becomes unbalanced.
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Q. If the resistance of one of the resistors in a Wheatstone bridge is changed, what will happen to the balance condition?
A.
It will remain unchanged.
B.
It will become balanced.
C.
It will become unbalanced.
D.
It will depend on the value of the changed resistor.
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Solution
Changing the resistance of one of the resistors will alter the ratio, thus making the bridge unbalanced.
Correct Answer: C — It will become unbalanced.
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Q. If the resistance of the potentiometer wire is increased, what effect does it have on the potential gradient?
A.
It increases.
B.
It decreases.
C.
It remains the same.
D.
It becomes zero.
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Solution
Increasing the resistance of the potentiometer wire decreases the potential gradient, as the same voltage is now distributed over a higher resistance.
Correct Answer: B — It decreases.
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Q. If the resistance of the potentiometer wire is increased, what effect does it have on the measurement accuracy?
A.
Increases accuracy
B.
Decreases accuracy
C.
No effect
D.
Depends on the length of the wire
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Solution
Increasing the resistance of the potentiometer wire can lead to a larger voltage drop, which may decrease measurement accuracy due to increased error in balancing.
Correct Answer: B — Decreases accuracy
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Q. If the resistance P in a Wheatstone bridge is 10 ohms, Q is 15 ohms, R is 5 ohms, and S is 7.5 ohms, what is the condition for the bridge to be balanced?
A.
P/Q = R/S
B.
P/R = Q/S
C.
P/S = Q/R
D.
P + Q = R + S
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Solution
The condition for balance is P/Q = R/S, which is not satisfied here.
Correct Answer: A — P/Q = R/S
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Q. If the resistance R1 in a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge becomes balanced
B.
The bridge becomes unbalanced
C.
No effect
D.
Depends on other resistances
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Solution
Increasing R1 changes the ratio R1/R2, which can lead to the bridge becoming unbalanced if the other resistances remain constant.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R1 in a Wheatstone bridge is increased, what happens to the balance condition?
A.
The bridge remains balanced
B.
The bridge becomes unbalanced
C.
The bridge becomes balanced again
D.
The current through the galvanometer increases
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Solution
Increasing R1 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R1 in a Wheatstone bridge is increased, what happens to the current through the galvanometer?
A.
It increases.
B.
It decreases.
C.
It remains the same.
D.
It becomes zero.
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Solution
Increasing R1 will unbalance the bridge, causing a current to flow through the galvanometer, which indicates a decrease in current through it.
Correct Answer: B — It decreases.
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Q. If the resistance R1 is increased in a Wheatstone bridge, what happens to the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on R2
D.
It depends on R3 and R4
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Solution
Increasing R1 will disturb the balance unless R2 is also adjusted accordingly.
Correct Answer: B — It becomes unbalanced
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Q. If the resistance R2 in a Wheatstone bridge is halved, what effect does it have on the balance condition?
A.
The bridge remains balanced
B.
The bridge becomes unbalanced
C.
The bridge becomes balanced again
D.
The current through the galvanometer decreases
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Solution
Halving R2 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance R4 in a Wheatstone bridge is decreased, what effect does it have on the balance condition?
A.
The bridge becomes balanced
B.
The bridge becomes unbalanced
C.
The current through the galvanometer decreases
D.
The voltage across R1 increases
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Solution
Decreasing R4 will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — The bridge becomes unbalanced
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Q. If the resistance values in a Wheatstone bridge are all equal, what can be inferred about the bridge?
A.
It is always balanced.
B.
It is always unbalanced.
C.
The current through the galvanometer is zero.
D.
The potential difference across the galvanometer is maximum.
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Solution
If all resistances are equal, the bridge is balanced, leading to zero current through the galvanometer.
Correct Answer: A — It is always balanced.
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Q. If the resistance values in a Wheatstone bridge are all equal, what can be said about the bridge?
A.
It is always balanced
B.
It is always unbalanced
C.
It depends on the circuit configuration
D.
It cannot be determined
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Solution
If all resistance values are equal, the Wheatstone bridge is always balanced, resulting in zero current through the galvanometer.
Correct Answer: A — It is always balanced
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Q. If the resistance values in a Wheatstone bridge are all equal, what is the condition for balance?
A.
All resistances must be zero
B.
Any resistance can be changed
C.
The bridge is always balanced
D.
The bridge is never balanced
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Solution
If all resistances are equal, the bridge is always balanced regardless of the values.
Correct Answer: C — The bridge is always balanced
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Q. If the resistance values in a Wheatstone bridge are doubled, what happens to the balance condition?
A.
It remains the same
B.
It becomes unbalanced
C.
It becomes easier to balance
D.
It becomes impossible to balance
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Solution
Doubling all resistance values does not affect the balance condition, as the ratios remain the same.
Correct Answer: A — It remains the same
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Q. If the resistance values in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what should R4 be for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistance values in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what is the value of R4 for the bridge to be balanced?
A.
30Ω
B.
15Ω
C.
10Ω
D.
5Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.
Correct Answer: B — 15Ω
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Q. If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is the value of the unknown resistance?
A.
15Ω
B.
25Ω
C.
30Ω
D.
45Ω
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Solution
Using the formula R1/R2 = R3/R4, we find that R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.
Correct Answer: B — 25Ω
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Q. If the resistances in a Wheatstone bridge are 4Ω, 8Ω, 12Ω, and R, what is the value of R for the bridge to be balanced?
A.
6Ω
B.
8Ω
C.
10Ω
D.
12Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R = (R2 * R3) / R1 = (8 * 12) / 4 = 24Ω.
Correct Answer: A — 6Ω
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Q. If the resistances in a Wheatstone bridge are 5Ω, 15Ω, 10Ω, and R, what is the value of R for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R = (R2 * R3) / R1 = (15 * 10) / 5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are equal, what is the current through the galvanometer?
A.
Zero
B.
Maximum
C.
Minimum
D.
Depends on the voltage
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Solution
If all resistances are equal, the bridge is balanced and the current through the galvanometer is zero.
Correct Answer: A — Zero
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Q. If the resistances in a Wheatstone bridge are equal, what is the potential difference across the galvanometer?
A.
Zero
B.
Equal to the supply voltage
C.
Half of the supply voltage
D.
Depends on the resistances
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Solution
If the resistances are equal, the potential difference across the galvanometer is zero.
Correct Answer: A — Zero
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Q. If the resistances in a Wheatstone bridge are P = 10Ω, Q = 15Ω, R = 5Ω, and S = xΩ, what is the value of x for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
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Solution
For balance, P/Q = R/S => 10/15 = 5/x => x = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are P = 3Ω, Q = 6Ω, R = 1.5Ω, and S = 3Ω, is the bridge balanced?
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if P = R
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Solution
The bridge is not balanced because P/Q ≠ R/S.
Correct Answer: B — No
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = xΩ, what value of x will balance the bridge?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we have 10/15 = 5/x, solving gives x = 7.5Ω.
Correct Answer: A — 7.5Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?
A.
Yes
B.
No
C.
Depends on the voltage
D.
Not enough information
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Solution
The bridge is balanced if R1/R2 = R3/R4. Here, 10/15 = 5/7.5, which simplifies to 2/3 = 2/3, confirming the bridge is balanced.
Correct Answer: A — Yes
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what is the value of R4 for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we have 10/15 = 5/R4. Solving gives R4 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, what should R4 be for the bridge to be balanced?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
A.
30Ω
B.
15Ω
C.
20Ω
D.
10Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.
Correct Answer: B — 15Ω
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