Q. In a vacuum, which of the following travels fastest?
A.
Sound
B.
Light
C.
Radio waves
D.
All travel at the same speed
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Solution
In a vacuum, light travels fastest at approximately 3 x 10^8 m/s.
Correct Answer: B — Light
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Q. In a viscometer, what does the time taken for a fluid to flow through a capillary tube indicate?
A.
Density of the fluid
B.
Viscosity of the fluid
C.
Temperature of the fluid
D.
Pressure of the fluid
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Solution
The time taken for a fluid to flow through a capillary tube is directly related to its viscosity.
Correct Answer: B — Viscosity of the fluid
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Q. In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
A.
Wavelength
B.
Frequency
C.
Amplitude
D.
Wave number
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Solution
'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Correct Answer: C — Amplitude
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Q. In a wave, if the amplitude is increased, what effect does it have on the energy of the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases linearly
D.
Energy increases with the square of the amplitude
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Solution
The energy of a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of the amplitude.
Correct Answer: D — Energy increases with the square of the amplitude
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Q. In a wave, if the amplitude is increased, what happens to the energy carried by the wave?
A.
Energy decreases
B.
Energy remains the same
C.
Energy increases linearly
D.
Energy increases with the square of the amplitude
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Solution
The energy carried by a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of that increase.
Correct Answer: D — Energy increases with the square of the amplitude
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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
Show solution
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
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 = 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?
Show solution
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 = 3Ω, R2 = 6Ω, and R3 = 9Ω, what is the value of R4 for balance?
A.
4.5Ω
B.
6Ω
C.
9Ω
D.
12Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = 6Ω.
Correct Answer: B — 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
Show solution
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 balance?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
20Ω
Show solution
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 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
Show solution
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 the battery voltage is 12V and the bridge is balanced, what is the voltage across each resistor?
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Solution
In a balanced Wheatstone bridge, the voltage is divided equally across the resistors, so each resistor will have 6V.
Correct Answer: C — 6V
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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
Show solution
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
Show solution
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, what does it indicate?
A.
The bridge is balanced
B.
The bridge is unbalanced
C.
The resistances are equal
D.
The circuit is open
Show solution
Solution
A current in the galvanometer indicates that the bridge is unbalanced.
Correct Answer: B — The bridge is unbalanced
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