Q. If the wavelength of light used in an interference experiment is 500 nm, what is the fringe separation when the screen is placed 2 m away from the slits separated by 0.1 mm?
A.
0.01 m
B.
0.025 m
C.
0.05 m
D.
0.1 m
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Solution
Fringe separation β = λD/d = (500 x 10^-9 m)(2 m)/(0.1 x 10^-3 m) = 0.01 m.
Correct Answer: C — 0.05 m
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Q. If the wavelength of light used in Young's experiment is 600 nm and the distance between the slits is 0.1 mm, what is the distance between the first and second bright fringes on a screen 2 m away?
A.
0.12 m
B.
0.24 m
C.
0.36 m
D.
0.48 m
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Solution
Fringe separation (β) = λD/d. β = (600 x 10^-9 * 2) / 0.0001 = 0.012 m. Distance between first and second bright fringes = 2β = 0.024 m.
Correct Answer: B — 0.24 m
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Q. If the wavelength of light used in Young's experiment is 600 nm, what is the fringe width when the distance between the slits is 0.1 mm and the distance to the screen is 2 m?
A.
0.03 mm
B.
0.06 mm
C.
0.12 mm
D.
0.15 mm
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Solution
Fringe width (β) = (λD)/d = (600 x 10^-9 * 2)/(0.1 x 10^-3) = 0.012 mm = 0.06 mm.
Correct Answer: B — 0.06 mm
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Q. If the Wheatstone bridge is balanced, what is the potential difference across the galvanometer?
A.
Maximum.
B.
Minimum.
C.
Zero.
D.
Equal to the supply voltage.
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Solution
When the bridge is balanced, the potential difference across the galvanometer is zero.
Correct Answer: C — Zero.
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Q. If the Wheatstone bridge is unbalanced, what can be inferred about the potential difference across the galvanometer?
A.
It is zero
B.
It is positive
C.
It is negative
D.
It is non-zero
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Solution
An unbalanced Wheatstone bridge will have a non-zero potential difference across the galvanometer.
Correct Answer: D — It is non-zero
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Q. If the Wheatstone bridge is unbalanced, what can be inferred about 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
An unbalanced Wheatstone bridge indicates that the ratio of the resistances is not equal.
Correct Answer: B — R1/R2 ≠ R3/R4
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Q. If the Wheatstone bridge is unbalanced, what can be said about the potential difference across the galvanometer?
A.
It is zero.
B.
It is maximum.
C.
It is equal to the supply voltage.
D.
It is constant.
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Solution
In an unbalanced bridge, there is a potential difference across the galvanometer, leading to maximum current flow.
Correct Answer: B — It is maximum.
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Q. If the Wheatstone bridge is unbalanced, what happens to the current through the galvanometer?
A.
It becomes zero.
B.
It increases.
C.
It decreases.
D.
It becomes infinite.
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Solution
In an unbalanced bridge, there is a potential difference across the galvanometer, causing current to flow.
Correct Answer: B — It increases.
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Q. If the work function of a material is 2.5 eV, what is the minimum wavelength of light required to emit photoelectrons?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
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Solution
Minimum wavelength (λ) = hc / Φ = (1240 nm·eV) / 2.5 eV = 496 nm.
Correct Answer: B — 500 nm
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Q. If the work function of a metal is 2.5 eV, what is the minimum wavelength of light required to emit photoelectrons?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
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Solution
Minimum wavelength (λ) = hc / Φ = (1240 nm·eV) / 2.5 eV = 496 nm.
Correct Answer: B — 500 nm
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Q. If the work function of a metal is 4.5 eV, what is the threshold wavelength for the photoelectric effect?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
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Solution
The threshold wavelength can be calculated using the equation λ = hc/φ. Substituting h = 4.14 x 10^-15 eV·s, c = 3 x 10^8 m/s, and φ = 4.5 eV gives λ ≈ 400 nm.
Correct Answer: A — 400 nm
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Q. If the Young's modulus of a material is 100 GPa and it is subjected to a tensile stress of 200 MPa, what is the strain produced?
A.
0.002
B.
0.0025
C.
0.01
D.
0.005
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Solution
Strain = Stress / Young's modulus = 200 MPa / 100 GPa = 0.002.
Correct Answer: A — 0.002
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Q. If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
A.
C1 + C2
B.
1 / (1/C1 + 1/C2)
C.
C1 * C2 / (C1 + C2)
D.
C1 - C2
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Solution
The equivalent capacitance C_eq of capacitors in series is given by 1 / C_eq = 1 / C1 + 1 / C2.
Correct Answer: B — 1 / (1/C1 + 1/C2)
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Q. If two cars are moving in opposite directions at speeds of 40 km/h and 60 km/h, what is their relative speed?
A.
100 km/h
B.
20 km/h
C.
40 km/h
D.
60 km/h
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Solution
Relative speed = Speed of car 1 + Speed of car 2 = 40 km/h + 60 km/h = 100 km/h.
Correct Answer: A — 100 km/h
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Q. If two cars are moving towards each other at speeds of 40 km/h and 60 km/h, how long will it take for them to meet if they are 200 km apart?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
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Solution
Relative speed = 40 km/h + 60 km/h = 100 km/h. Time = Distance / Relative Speed = 200 km / 100 km/h = 2 hours.
Correct Answer: B — 2 hours
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Q. If two charges of +3μC and +5μC are placed 0.3m apart, what is the magnitude of the force between them?
A.
0.15 N
B.
0.25 N
C.
0.45 N
D.
0.75 N
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Solution
Using Coulomb's law, F = k * |q1 * q2| / r² = (9 × 10^9 N m²/C²) * |(3 × 10^-6 C) * (5 × 10^-6 C)| / (0.3 m)² = 0.45 N.
Correct Answer: C — 0.45 N
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Q. If two charges of +3μC and -3μC are placed 0.1m apart, what is the net electric field at the midpoint?
A.
0 N/C
B.
54000 N/C
C.
27000 N/C
D.
81000 N/C
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Solution
The electric fields due to both charges at the midpoint cancel each other out, resulting in a net electric field of 0 N/C.
Correct Answer: A — 0 N/C
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Q. If two coherent sources of light are in phase, what type of interference pattern will be observed?
A.
No interference pattern
B.
Destructive interference
C.
Constructive interference
D.
Random interference
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Solution
When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.
Correct Answer: C — Constructive interference
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Q. If two coherent sources of light are in phase, what type of interference will occur?
A.
Destructive interference
B.
Constructive interference
C.
No interference
D.
Random interference
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Solution
When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.
Correct Answer: B — Constructive interference
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Q. If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/4?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
The phase difference (Δφ) is given by (2π/λ) * path difference. For a path difference of λ/4, Δφ = (2π/λ) * (λ/4) = π/2 radians.
Correct Answer: B — π/2 radians
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Q. If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/2?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
A path difference of λ/2 corresponds to a phase difference of π radians, leading to destructive interference.
Correct Answer: C — π radians
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Q. If two coherent sources of light are in phase, what will be the result at a point where the path difference is λ/2?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Partial interference
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Solution
A path difference of λ/2 results in destructive interference, as the waves will be out of phase.
Correct Answer: B — Destructive interference
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Q. If two coins are tossed, what is the probability of getting at least one head?
A.
1/4
B.
1/2
C.
3/4
D.
1
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Solution
Total outcomes = 4 (HH, HT, TH, TT). At least one head = 3 outcomes. Probability = 3/4.
Correct Answer: C — 3/4
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Q. If two dice are rolled, what is the probability of getting a sum of 7?
A.
1/6
B.
1/12
C.
1/36
D.
1/18
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Solution
Possible combinations for sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.
Correct Answer: A — 1/6
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Q. If two equal and opposite forces are applied at the ends of a lever arm of length 1 m, what is the net torque about the center?
A.
0 Nm
B.
1 Nm
C.
2 Nm
D.
4 Nm
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Solution
The net torque is zero because the forces are equal and opposite, producing no rotational effect.
Correct Answer: A — 0 Nm
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Q. If two equal and opposite forces are applied at the ends of a lever arm of length 4 m, what is the net torque about the center?
A.
0 Nm
B.
8 Nm
C.
4 Nm
D.
16 Nm
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Solution
The net torque is zero because the forces are equal and opposite, resulting in no rotational effect.
Correct Answer: A — 0 Nm
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Q. If two equal and opposite forces are applied at the ends of a lever arm, what is the net torque about the center?
A.
Zero
B.
Equal to the force
C.
Depends on the distance
D.
Twice the force
Show solution
Solution
The net torque is zero because the forces are equal and opposite, producing no rotational effect.
Correct Answer: A — Zero
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Q. If two forces of 10 N and 15 N act in the same direction on an object, what is the resultant force?
A.
5 N
B.
10 N
C.
15 N
D.
25 N
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Solution
The resultant force is the sum of the two forces: 10 N + 15 N = 25 N.
Correct Answer: D — 25 N
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Q. If two forces of 10 N and 15 N act on an object in the same direction, what is the net force acting on the object?
A.
5 N
B.
10 N
C.
15 N
D.
25 N
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Solution
Net force = 10 N + 15 N = 25 N.
Correct Answer: D — 25 N
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Q. If two forces of 10 N and 5 N act in the same direction on an object, what is the net force?
A.
15 N
B.
5 N
C.
10 N
D.
20 N
Show solution
Solution
The net force is the sum of the forces: 10 N + 5 N = 15 N.
Correct Answer: A — 15 N
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