Wheatstone Bridge
Q. In a Wheatstone bridge, if the galvanometer shows a deflection, what does it indicate?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The resistances are equal
D.
The current is zero
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Solution
A deflection in the galvanometer indicates that the bridge is unbalanced, meaning the ratios of the resistances are not equal.
Correct Answer: B — The bridge is unbalanced
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Q. In a Wheatstone bridge, if the galvanometer shows zero deflection, what can be inferred about the current?
A.
No current flows
B.
Current flows through the galvanometer
C.
Current is maximum
D.
Current is minimum
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Solution
Zero deflection indicates that no current flows through the galvanometer.
Correct Answer: A — No current flows
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Q. In a Wheatstone bridge, if the galvanometer shows zero deflection, what does it indicate?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The current is zero
D.
The resistances are equal
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Solution
Zero deflection in the galvanometer indicates that the bridge is balanced.
Correct Answer: A — The bridge is balanced
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Q. In a Wheatstone bridge, if the known resistances are 5Ω and 10Ω, what is the unknown resistance if the bridge is balanced with a 15Ω resistor?
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 = (10 * 15) / 5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
A.
2/3 = 4/5
B.
2/3 = 5/4
C.
3/2 = 5/4
D.
3/2 = 4/5
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Solution
For the bridge to be balanced, the ratios must be equal. Thus, 2/3 should equal 4/5, which is not true.
Correct Answer: A — 2/3 = 4/5
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Q. In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what can be said about the bridge?
A.
Balanced
B.
Unbalanced
C.
Cannot be determined
D.
Short-circuited
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Solution
The bridge is unbalanced because the ratios 2:3 and 4:5 are not equal.
Correct Answer: B — Unbalanced
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Q. In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?
A.
Balanced
B.
Unbalanced
C.
Cannot be determined
D.
Short-circuited
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Solution
The bridge is unbalanced because the ratios of the resistances do not match.
Correct Answer: B — Unbalanced
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Q. In a Wheatstone bridge, if the ratio of resistances R1 and R2 is equal to the ratio of R3 and R4, what can be said about the bridge?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The current through the galvanometer is maximum.
D.
The potential difference across the galvanometer is maximum.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of resistances R1 to R2 is equal to the ratio of R3 to R4, what can be said about the bridge?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The current through the galvanometer is maximum.
D.
The potential difference across the galvanometer is maximum.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of resistances R1 to R2 is equal to the ratio of R3 to R4, what can be concluded?
A.
The bridge is balanced.
B.
The current through the galvanometer is maximum.
C.
The potential difference across the galvanometer is maximum.
D.
The resistances are equal.
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Solution
When R1/R2 = R3/R4, the bridge is balanced, meaning no current flows through the galvanometer.
Correct Answer: A — The bridge is balanced.
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Q. In a Wheatstone bridge, if the ratio of the resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
A.
2/3 = 4/5
B.
2/3 = 5/4
C.
3/2 = 5/4
D.
3/2 = 4/5
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Solution
For a Wheatstone bridge to be balanced, the ratio of the resistances must be equal. Here, 2/3 is not equal to 4/5.
Correct Answer: A — 2/3 = 4/5
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Q. In a Wheatstone bridge, if the resistance P is increased, what effect does it have on the balance condition?
A.
Bridge remains balanced
B.
Bridge becomes unbalanced
C.
Bridge becomes short-circuited
D.
Bridge becomes open-circuited
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Solution
Increasing resistance P will disturb the balance condition, making the bridge unbalanced.
Correct Answer: B — Bridge becomes unbalanced
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Q. In a Wheatstone bridge, if the resistance R2 is decreased, what effect does it have on the balance condition?
A.
It will balance the bridge.
B.
It will unbalance the bridge.
C.
It has no effect.
D.
It will increase the current.
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Solution
Decreasing R2 will disturb the balance condition, causing the bridge to become unbalanced.
Correct Answer: B — It will unbalance the bridge.
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Q. In a Wheatstone bridge, if the resistance R2 is doubled, what effect does it have on the balance condition?
A.
It remains balanced.
B.
It becomes unbalanced.
C.
It requires R4 to be halved.
D.
It requires R1 to be doubled.
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Solution
Doubling R2 will change the ratio R1/R2, thus unbalancing the bridge.
Correct Answer: B — It becomes unbalanced.
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Q. In a Wheatstone bridge, if the resistance R4 is adjusted to achieve balance, what does this imply about the other resistances?
A.
They are equal.
B.
They are in series.
C.
They are in parallel.
D.
They maintain a specific ratio.
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Solution
Adjusting R4 to achieve balance implies that the other resistances maintain a specific ratio.
Correct Answer: D — They maintain a specific ratio.
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Q. In a Wheatstone bridge, if the resistances are 1Ω, 2Ω, 3Ω, and 6Ω, is the bridge balanced?
A.
Yes
B.
No
C.
Only if R4 is adjusted
D.
Only if R3 is adjusted
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Solution
The bridge is not balanced because 1/2 is not equal to 3/6.
Correct Answer: B — No
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Q. In a Wheatstone bridge, if the resistances are P = 5Ω, Q = 10Ω, R = 15Ω, what is the value of S for balance?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
15Ω
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Solution
Using the balance condition P/Q = R/S, we find S = (Q*R)/P = (10*15)/5 = 30Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if the resistances are R1 = 2Ω, R2 = 3Ω, R3 = 4Ω, what is the value of R4 for balance?
A.
6Ω
B.
8Ω
C.
12Ω
D.
1.5Ω
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Solution
For balance, R4 must be 6Ω since 2/3 = 4/6.
Correct Answer: A — 6Ω
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Q. In a Wheatstone bridge, if the supply voltage is 12V and the bridge is balanced, what is the voltage across each arm?
A.
6V each
B.
12V each
C.
4V each
D.
8V each
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Solution
In a balanced Wheatstone bridge, the voltage divides equally across the two arms, so each arm would have 6V if the total is 12V.
Correct Answer: A — 6V each
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Q. What happens to the current in the galvanometer when the Wheatstone bridge is balanced?
A.
Increases
B.
Decreases
C.
Becomes zero
D.
Fluctuates
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Solution
When the Wheatstone bridge is balanced, the current in the galvanometer becomes zero.
Correct Answer: C — Becomes zero
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Q. What happens to the current through the galvanometer when the bridge is balanced?
A.
It increases.
B.
It decreases.
C.
It becomes zero.
D.
It becomes maximum.
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Solution
When the bridge is balanced, the current through the galvanometer becomes zero.
Correct Answer: C — It becomes zero.
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Q. What happens to the current through the galvanometer when the Wheatstone bridge is unbalanced?
A.
It becomes zero
B.
It increases
C.
It decreases
D.
It becomes infinite
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Solution
When the Wheatstone bridge is unbalanced, there is a non-zero potential difference across the galvanometer, causing current to flow through it.
Correct Answer: B — It increases
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Q. What happens to the current through the galvanometer when the Wheatstone bridge is balanced?
A.
It increases
B.
It decreases
C.
It becomes zero
D.
It becomes infinite
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Solution
When the Wheatstone bridge is balanced, the potential difference across the galvanometer is zero, resulting in zero current through it.
Correct Answer: C — It becomes zero
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Q. What happens to the current through the galvanometer when the Wheatstone bridge is perfectly balanced?
A.
It flows in one direction.
B.
It flows in both directions.
C.
It is zero.
D.
It is maximum.
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Solution
When the Wheatstone bridge is perfectly balanced, the current through the galvanometer is zero.
Correct Answer: C — It is zero.
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Q. What happens to the galvanometer reading in a Wheatstone bridge when it is balanced?
A.
It shows maximum current
B.
It shows minimum current
C.
It shows zero current
D.
It shows fluctuating current
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Solution
When the Wheatstone bridge is balanced, the potential difference across the galvanometer is zero, resulting in zero current.
Correct Answer: C — It shows zero current
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Q. What happens to the sensitivity of a Wheatstone bridge if the resistances are made equal?
A.
Sensitivity increases
B.
Sensitivity decreases
C.
Sensitivity remains the same
D.
Sensitivity becomes infinite
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Solution
If the resistances are made equal, the sensitivity of the Wheatstone bridge becomes infinite, as even a small change will cause a large deflection.
Correct Answer: D — Sensitivity becomes infinite
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Q. What happens to the total resistance in a Wheatstone bridge when it is balanced?
A.
It is maximum.
B.
It is minimum.
C.
It is equal to the sum of all resistances.
D.
It is equal to the product of resistances.
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Solution
When the Wheatstone bridge is balanced, the total resistance is at a minimum for the given configuration.
Correct Answer: B — It is minimum.
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Q. What is the condition for a Wheatstone bridge to be balanced?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 - R2 = R3 - R4
D.
R1 * R2 = R3 * R4
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Solution
The condition for a Wheatstone bridge to be balanced is R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. What is the condition for a Wheatstone bridge to be in a balanced state?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 - R2 = R3 - R4
D.
R1 * R4 = R2 * R3
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Solution
The condition for balance is R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. What is the condition for a Wheatstone bridge to be in equilibrium?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 - R2 = R3 - R4
D.
R1 * R3 = R2 * R4
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Solution
In a Wheatstone bridge, the bridge is in equilibrium when the ratio of the resistances in one branch is equal to the ratio in the other branch, i.e., R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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