Engineering & Architecture Admissions
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 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 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 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 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. In a zero-order reaction, how does the rate change with respect to concentration?
A.
Increases linearly
B.
Decreases linearly
C.
Remains constant
D.
Increases exponentially
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Solution
In a zero-order reaction, the rate is constant and does not depend on the concentration of reactants.
Correct Answer: C — Remains constant
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Q. In a zero-order reaction, if the rate constant k is 5 mol/L/s, how long will it take for the concentration to decrease from 2 mol/L to 0 mol/L?
A.
0.4 s
B.
0.5 s
C.
0.6 s
D.
0.8 s
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Solution
For a zero-order reaction, time = (initial concentration - final concentration) / k = (2 - 0) / 5 = 0.4 s.
Correct Answer: C — 0.6 s
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Q. In a zero-order reaction, the rate of reaction is independent of which of the following?
A.
Concentration of reactants
B.
Temperature
C.
Catalyst
D.
All of the above
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Solution
In a zero-order reaction, the rate of reaction is independent of the concentration of reactants.
Correct Answer: A — Concentration of reactants
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Q. In amplitude modulation (AM), what does the amplitude of the carrier wave represent?
A.
The frequency of the modulating signal
B.
The phase of the modulating signal
C.
The information signal
D.
The power of the carrier wave
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Solution
In AM, the amplitude of the carrier wave varies in accordance with the amplitude of the modulating signal, which carries the information.
Correct Answer: C — The information signal
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Q. In amplitude modulation (AM), what does the carrier wave represent?
A.
The information signal
B.
The frequency of the modulated signal
C.
The average power of the signal
D.
The high-frequency signal that carries the information
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Solution
In AM, the carrier wave is a high-frequency signal that carries the information signal by varying its amplitude.
Correct Answer: D — The high-frequency signal that carries the information
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what is the type of load?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what type of circuit is it?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive circuit, where the current phase is behind the voltage phase.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what type of load is present?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates the presence of an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 45 degrees, what is the type of load?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the frequency is doubled, what happens to the inductive reactance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, X_L also doubles.
Correct Answer: B — It halves
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Q. In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
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Solution
The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.
Correct Answer: B — Halves
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Q. In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
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Solution
The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.
Correct Answer: B — 60 degrees
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Q. In an AC circuit, if the power factor is 1, what type of load is present?
A.
Inductive
B.
Capacitive
C.
Resistive
D.
Reactive
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Solution
A power factor of 1 indicates a purely resistive load.
Correct Answer: C — Resistive
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Q. In an AC circuit, if the voltage is given by V(t) = V_0 sin(ωt), what is the expression for the current through a resistor R?
A.
I(t) = (V_0/R) sin(ωt)
B.
I(t) = (V_0/R) cos(ωt)
C.
I(t) = (R/V_0) sin(ωt)
D.
I(t) = (R/V_0) cos(ωt)
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Solution
For a resistor, the current is in phase with the voltage. Therefore, I(t) = V(t)/R = (V_0/R) sin(ωt).
Correct Answer: A — I(t) = (V_0/R) sin(ωt)
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Q. In an electric circuit, if the voltage is 12 V and the current is 3 A, what is the power?
A.
36 W
B.
9 W
C.
4 W
D.
12 W
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Solution
Power in an electric circuit is given by P = V * I. Here, P = 12 V * 3 A = 36 W.
Correct Answer: A — 36 W
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Q. In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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Solution
Power in an electric circuit is given by P = V^2/R. If V is doubled, P becomes (2V)^2/R = 4V^2/R, which is quadrupled.
Correct Answer: C — It quadruples
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Q. In an endothermic reaction, the enthalpy of the products is ____ than that of the reactants.
A.
higher
B.
lower
C.
equal
D.
unpredictable
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Solution
In an endothermic reaction, the enthalpy of the products is higher than that of the reactants.
Correct Answer: A — higher
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