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Q. In a wave, if the amplitude is increased, what happens to the energy of the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases
D.
Energy becomes zero
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Solution
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy increases.
Correct Answer: C — Energy increases
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Q. In a wave, the distance between two consecutive crests is known as what?
A.
Amplitude
B.
Wavelength
C.
Frequency
D.
Period
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Solution
The distance between two consecutive crests in a wave is called the wavelength.
Correct Answer: B — Wavelength
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Q. In a Wheatstone bridge, if all resistances are equal, what is the condition for balance?
A.
Any configuration.
B.
R1 = R2 = R3 = R4.
C.
R1 + R2 = R3 + R4.
D.
R1/R2 = R3/R4.
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Solution
When all resistances are equal, the bridge is balanced regardless of the configuration.
Correct Answer: B — R1 = R2 = R3 = R4.
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Q. In a Wheatstone bridge, if one of the resistors is changed, how does it affect the balance condition?
A.
It does not affect the balance
B.
It always unbalances the bridge
C.
It can either balance or unbalance the bridge
D.
It only balances if the new resistor is equal
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Solution
Changing one resistor can either balance or unbalance the bridge depending on the new value relative to the others.
Correct Answer: C — It can either balance or unbalance the bridge
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Q. In a Wheatstone bridge, if P = 20Ω, Q = 30Ω, and R = 10Ω, what is the value of S for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition P/Q = R/S, we find S = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 15Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?
A.
20Ω
B.
25Ω
C.
30Ω
D.
35Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 30) / 10 = 45Ω.
Correct Answer: B — 25Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we have 10/20 = 30/R4, which gives R4 = 20Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?
A.
30Ω
B.
20Ω
C.
15Ω
D.
10Ω
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Solution
For balance, R1/R2 = R3/R4. Thus, 10/20 = 15/R4, giving R4 = 30Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?
A.
1.5Ω
B.
2Ω
C.
3Ω
D.
4Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we have 1/2 = 3/R4. Solving gives R4 = 6Ω.
Correct Answer: D — 4Ω
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Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for balance?
A.
15Ω
B.
20Ω
C.
25Ω
D.
30Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Correct Answer: B — 20Ω
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Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.
Correct Answer: C — 12Ω
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Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for balance?
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.
Correct Answer: C — 6Ω
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Q. In a Wheatstone bridge, if R1 = 4Ω, R2 = 6Ω, and R3 = 12Ω, what is the value of R4 for the bridge to be balanced?
A.
8Ω
B.
9Ω
C.
10Ω
D.
12Ω
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Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (6 * 12) / 4 = 18Ω.
Correct Answer: D — 12Ω
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Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 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 have 5/10 = 15/x, solving gives x = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for balance?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
20Ω
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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 battery voltage is 12V and the bridge is balanced, what is the current through the galvanometer?
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Solution
In a balanced Wheatstone bridge, the current through the galvanometer is zero.
Correct Answer: A — 0A
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Q. In a Wheatstone bridge, if the battery voltage is 12V and the resistances are equal, what is the voltage across the galvanometer?
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Solution
With equal resistances, the voltage across the galvanometer is 0V.
Correct Answer: A — 0V
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Q. In a Wheatstone bridge, if the battery voltage is increased, what happens to the balance condition?
A.
It changes
B.
It remains the same
C.
It becomes unstable
D.
It cannot be determined
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Solution
The balance condition depends on the ratio of resistances, not the voltage.
Correct Answer: B — It remains the same
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Q. In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?
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
In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch, hence R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. In a Wheatstone bridge, if the bridge is unbalanced, what happens to the current through the galvanometer?
A.
It becomes zero
B.
It increases
C.
It decreases
D.
It oscillates
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Solution
When the Wheatstone bridge is unbalanced, a current flows through the galvanometer, indicating a difference in potential across it.
Correct Answer: B — It increases
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Q. In a Wheatstone bridge, if the galvanometer shows a current, what can be inferred?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The resistances are equal
D.
The circuit is open
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Solution
A current in the galvanometer indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced
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Q. In a Wheatstone bridge, if the galvanometer shows a current, which of the following statements is true?
A.
The bridge is balanced.
B.
The bridge is unbalanced.
C.
The resistances are equal.
D.
The potential difference is zero.
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Solution
If the galvanometer shows a current, it indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced.
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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 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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