Q. Two coherent sources of light produce interference. If the path difference is 0.5λ, what type of interference occurs?
A.Constructive interference
B.Destructive interference
C.No interference
D.Partial interference
Solution
Constructive interference occurs when the path difference is an integer multiple of λ, and 0.5λ corresponds to a half wavelength, leading to constructive interference.
Q. Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves at a point is 0.5 m, what is the phase difference at that point?
A.0 rad
B.π/2 rad
C.π rad
D.3π/2 rad
Solution
Phase difference (Δφ) = (2π/λ) * path difference. For sound in air, λ = v/f. Assuming f = 1000 Hz and v = 340 m/s, λ = 0.34 m. Δφ = (2π/0.34) * 0.5 = π/2 rad.
Q. Two identical metal spheres carry charges of +5μC and -5μC respectively. If they are brought into contact and then separated, what will be the charge on each sphere?
A.0μC
B.+5μC
C.-5μC
D.+2.5μC
Solution
When brought into contact, the charges will redistribute equally, resulting in 0μC on each sphere.
Q. Two identical metal spheres carry charges of +5μC and -5μC. If they are brought into contact and then separated, what will be the charge on each sphere?
A.0μC
B.+5μC
C.-5μC
D.+2.5μC
Solution
When brought into contact, the charges will redistribute equally, resulting in 0μC on each sphere.
Q. Two identical spheres, one charged positively and the other negatively, are brought into contact and then separated. What will be the charge on each sphere after separation?
A.Both positive
B.Both negative
C.Neutral
D.Equal positive and negative
Solution
When two identical spheres are brought into contact, they share their charges equally. Thus, they will have equal positive and negative charges after separation.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?
A.30 degrees
B.60 degrees
C.Both have the same range
D.Cannot be determined
Solution
The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will have a greater range?
A.30 degrees
B.60 degrees
C.Both have the same range
D.Cannot be determined
Solution
Both angles will have the same range when launched from the same height.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will land first?
A.30 degrees
B.60 degrees
C.Both land at the same time
D.Depends on the initial speed
Solution
Both will land at the same time as they are thrown from the same height.
Q. Two objects are thrown simultaneously from the same height but at different angles. If both have the same initial speed, which will hit the ground first?
A.Object at 30 degrees
B.Object at 45 degrees
C.Object at 60 degrees
D.Both hit at the same time
Solution
All objects hit the ground at the same time if launched from the same height with the same speed.
Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will hit the ground first?
A.30 degrees
B.60 degrees
C.Both hit at the same time
D.Depends on the speed
Solution
Both will hit the ground at the same time as they are thrown from the same height.
Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer with respect to the other?
A.10 m/s
B.20 m/s
C.50 m/s
D.60 m/s
Solution
Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.
