Q. If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)
A.
It doubles
B.
It halves
C.
It becomes one-fourth
D.
It becomes four times
Show solution
Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Correct Answer:
C
— It becomes one-fourth
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Q. If the distance between two point charges is tripled, how does the electrostatic force between them change? (2020)
A.
It triples
B.
It halves
C.
It becomes one-ninth
D.
It remains the same
Show solution
Solution
According to Coulomb's law, the force F is inversely proportional to the square of the distance (F ∝ 1/r^2). If r is tripled, F becomes 1/9 of its original value.
Correct Answer:
C
— It becomes one-ninth
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Q. If the distance from the slits to the screen in a double-slit experiment is increased, what happens to the fringe pattern? (2023)
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe visibility decreases
D.
Fringe pattern disappears
Show solution
Solution
Increasing the distance from the slits to the screen increases the fringe width, as fringe width β is proportional to the distance.
Correct Answer:
B
— Fringe width increases
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Q. If the electric field at a point is 1000 N/C and the charge at that point is 5 µC, what is the force experienced by the charge?
A.
0.005 N
B.
0.05 N
C.
0.5 N
D.
5 N
Show solution
Solution
F = E * q = 1000 N/C * 5 × 10^-6 C = 0.005 N.
Correct Answer:
B
— 0.05 N
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Q. If the electric field between the plates of a capacitor is E, what is the potential difference between the plates separated by a distance d? (2020)
A.
E/d
B.
Ed
C.
d/E
D.
E*d
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Solution
The potential difference (V) between the plates is given by V = Ed, where E is the electric field and d is the distance between the plates.
Correct Answer:
B
— Ed
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Q. If the equilibrium constant Kc for a reaction is 10, what is the value of Kc for the reverse reaction? (2020)
Show solution
Solution
For the reverse reaction, Kc is the reciprocal of the forward reaction. Therefore, Kc (reverse) = 1/Kc (forward) = 1/10 = 0.1.
Correct Answer:
A
— 0.1
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Q. If the first term of a geometric series is 4 and the common ratio is 2, what is the 7th term?
A.
128
B.
256
C.
512
D.
1024
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Solution
The nth term of a geometric series is given by a_n = ar^(n-1). Here, a = 4, r = 2, n = 7. So, a_7 = 4 * 2^(7-1) = 4 * 64 = 256.
Correct Answer:
B
— 256
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Q. If the first term of an arithmetic series is 12 and the last term is 48, what is the common difference if there are 10 terms?
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Solution
In an arithmetic series, the last term can be expressed as a + (n-1)d. Here, 48 = 12 + (10-1)d. Thus, 48 - 12 = 9d, giving d = 4.
Correct Answer:
A
— 4
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Q. If the freezing point of a solution is -5°C, what is the molality of the solution if the freezing point depression constant (Kf) is 1.86°C kg/mol? (2022)
A.
1.34 m
B.
2.68 m
C.
0.5 m
D.
3.72 m
Show solution
Solution
ΔTf = Kf * m; -5 = -1.86 * m; m = 5 / 1.86 = 2.68 m.
Correct Answer:
B
— 2.68 m
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Q. If the freezing point of pure water is 0 °C, what will be the freezing point of a solution containing 1 mole of NaCl in 1 kg of water? (2023)
A.
-1.86 °C
B.
-3.72 °C
C.
-2.26 °C
D.
-0.93 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 2 * 1.86 °C kg/mol * 1 mol/kg = 3.72 °C. Thus, freezing point = 0 - 3.72 = -3.72 °C.
Correct Answer:
B
— -3.72 °C
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Q. If the freezing point of pure water is 0°C, what will be the freezing point of a 1 molal solution of NaCl? (2022)
A.
-1.86°C
B.
-3.72°C
C.
-2.52°C
D.
-0.52°C
Show solution
Solution
Freezing point depression = i * Kf * m = 2 * 1.86 * 1 = 3.72°C. Therefore, freezing point = 0 - 3.72 = -1.86°C.
Correct Answer:
A
— -1.86°C
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Q. If the frequency of a simple harmonic oscillator is doubled, what happens to its period? (2021)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The period T is inversely proportional to frequency f. If f is doubled, T is halved.
Correct Answer:
B
— It halves
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Q. If the frequency of a vibrating tuning fork is 440 Hz, what is the time period of the vibration? (2023)
A.
0.00227 s
B.
0.005 s
C.
0.01 s
D.
0.0227 s
Show solution
Solution
The time period T is the reciprocal of frequency f, T = 1/f. Therefore, T = 1/440 ≈ 0.00227 s.
Correct Answer:
A
— 0.00227 s
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Q. If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Wavelength (λ) is inversely proportional to frequency (f) when speed (v) is constant: λ = v/f. If f is doubled, λ is halved.
Correct Answer:
B
— Halves
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Q. If the frequency of a wave is halved, what happens to its wavelength? (2015)
A.
Halves
B.
Doubles
C.
Remains the same
D.
Increases by four times
Show solution
Solution
Wavelength is inversely proportional to frequency. If frequency is halved, wavelength doubles.
Correct Answer:
B
— Doubles
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Q. If the frequency of an AC source is 50 Hz, what is the time period of the AC signal? (2019)
A.
0.02 s
B.
0.01 s
C.
0.5 s
D.
1 s
Show solution
Solution
The time period (T) is the reciprocal of frequency (f). Therefore, T = 1/f = 1/50 Hz = 0.02 s.
Correct Answer:
A
— 0.02 s
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Q. If the frequency of an AC source is doubled, how does the inductive reactance change? (2020)
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
Show solution
Solution
Xl = 2πfL; if f is doubled, Xl also doubles.
Correct Answer:
B
— Halves
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Q. If the frequency of an AC source is doubled, what happens to the inductive reactance? (2014)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Inductive reactance XL = 2πfL, so if frequency f is doubled, XL halves.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the inductive reactance of an inductor? (2021)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Inductive reactance Xl = ωL, so if frequency is doubled, Xl halves.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the reactance of a capacitor? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The capacitive reactance Xc = 1/(2πfC) halves when the frequency f is doubled.
Correct Answer:
B
— It halves
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Q. If the frequency of an AC source is doubled, what happens to the reactance of an inductor? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The reactance of an inductor is given by XL = ωL. If frequency is doubled, reactance also doubles.
Correct Answer:
A
— It doubles
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Q. If the frequency of an AC source is increased, what happens to the inductive reactance? (2019)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Becomes zero
Show solution
Solution
Inductive reactance (X_L) is directly proportional to frequency (f). Therefore, if frequency increases, X_L decreases.
Correct Answer:
B
— Decreases
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Q. If the gravitational force between two objects is 20 N and the distance between them is doubled, what will be the new force?
A.
5 N
B.
10 N
C.
20 N
D.
40 N
Show solution
Solution
F is inversely proportional to r². If r is doubled, F becomes F/4 = 20 N / 4 = 5 N.
Correct Answer:
A
— 5 N
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Q. If the inductance of a coil is 0.5H and the frequency is 60Hz, what is the inductive reactance? (2023)
A.
31.42 ohms
B.
18.85 ohms
C.
37.70 ohms
D.
25.13 ohms
Show solution
Solution
Xl = 2πfL = 2π × 60 × 0.5 = 31.42 ohms.
Correct Answer:
A
— 31.42 ohms
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Q. If the inductance of a coil is doubled, what happens to its inductive reactance at a constant frequency? (2022)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.
Correct Answer:
A
— It doubles
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Q. If the inductive reactance of a coil is 30Ω and the resistance is 10Ω, what is the total impedance? (2018)
A.
10Ω
B.
30Ω
C.
33.33Ω
D.
40Ω
Show solution
Solution
Total impedance Z = √(R² + (XL)²) = √(10² + 30²) = √(100 + 900) = √1000 = 31.62Ω.
Correct Answer:
C
— 33.33Ω
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Q. If the latent heat of fusion of ice is 334 J/g, how much heat is required to melt 50 g of ice? (2019)
A.
1670 J
B.
3340 J
C.
5000 J
D.
1000 J
Show solution
Solution
Heat required = mass × latent heat = 50 g × 334 J/g = 16700 J.
Correct Answer:
A
— 1670 J
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Q. If the latent heat of vaporization of water is 2260 kJ/kg, how much energy is required to convert 0.5 kg of water at 100°C to steam at 100°C?
A.
1130 kJ
B.
2260 kJ
C.
3390 kJ
D.
4520 kJ
Show solution
Solution
Energy required = mass * latent heat = 0.5 kg * 2260 kJ/kg = 1130 kJ.
Correct Answer:
A
— 1130 kJ
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Q. If the length of a wire is doubled while keeping the diameter constant, what happens to its resistance? (2019)
A.
It doubles
B.
It halves
C.
It quadruples
D.
It remains the same
Show solution
Solution
Resistance (R) is directly proportional to length (L). If length is doubled, resistance also doubles.
Correct Answer:
A
— It doubles
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Q. If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?
A.
(3, 0)
B.
(0, 2)
C.
(0, 3)
D.
(2, 0)
Show solution
Solution
Setting y = 0 gives 2x = 6, thus x = 3. The point of intersection is (3, 0).
Correct Answer:
A
— (3, 0)
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