Physics
Q. A tuning fork vibrates at a frequency of 440 Hz. What is the time period of the fork? (2020)
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A.
0.00227 s
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B.
0.0045 s
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C.
0.01 s
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D.
0.005 s
Solution
Time period T = 1/f = 1/440 Hz ≈ 0.00227 s.
Correct Answer: A — 0.00227 s
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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed just before it hits the ground? (2019)
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A.
√(3g/L)
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B.
√(2g/L)
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C.
√(g/L)
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D.
√(4g/L)
Solution
Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).
Correct Answer: B — √(2g/L)
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Q. A uniform rod of length L is pivoted at one end and released from rest. What is the angular speed when it reaches the vertical position? (2019)
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A.
√(3g/L)
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B.
√(2g/L)
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C.
√(g/L)
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D.
√(4g/L)
Solution
Using conservation of energy, potential energy converts to rotational kinetic energy. Angular speed ω = √(3g/L).
Correct Answer: B — √(2g/L)
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Q. A vehicle travels 100 m in 5 seconds. What is its average speed?
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A.
10 m/s
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B.
15 m/s
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C.
20 m/s
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D.
25 m/s
Solution
Average speed = total distance / total time = 100 m / 5 s = 20 m/s.
Correct Answer: A — 10 m/s
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Q. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)
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A.
80 km
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B.
100 km
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C.
120 km
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D.
140 km
Solution
Distance = speed * time = 60 km/h * 2 h = 120 km.
Correct Answer: C — 120 km
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Q. A wave has a frequency of 10 Hz and a wavelength of 2 m. What is its speed? (2023)
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A.
5 m/s
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B.
10 m/s
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C.
20 m/s
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D.
15 m/s
Solution
The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.
Correct Answer: C — 20 m/s
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Q. A wave has a frequency of 10 Hz and a wavelength of 5 m. What is its speed? (2020)
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A.
50 m/s
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B.
10 m/s
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C.
2 m/s
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D.
5 m/s
Solution
Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.
Correct Answer: A — 50 m/s
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Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)
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A.
300 m/s
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B.
500 m/s
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C.
600 m/s
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D.
400 m/s
Solution
Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.
Correct Answer: A — 300 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is its speed? (2016)
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A.
180 m/s
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B.
120 m/s
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C.
60 m/s
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D.
90 m/s
Solution
Speed v = f × λ = 60 Hz × 3 m = 180 m/s.
Correct Answer: A — 180 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is the speed of the wave?
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A.
180 m/s
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B.
120 m/s
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C.
60 m/s
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D.
30 m/s
Solution
The speed v of a wave is given by v = fλ. Thus, v = 60 * 3 = 180 m/s.
Correct Answer: B — 120 m/s
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Q. A wave has a speed of 300 m/s and a frequency of 150 Hz. What is its wavelength? (2022)
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A.
1 m
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B.
2 m
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C.
3 m
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D.
4 m
Solution
Wavelength λ can be calculated using the formula λ = v/f. Therefore, λ = 300 m/s / 150 Hz = 2 m.
Correct Answer: B — 2 m
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Q. A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)
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A.
25 Hz
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B.
50 Hz
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C.
100 Hz
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D.
75 Hz
Solution
Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.
Correct Answer: A — 25 Hz
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Q. A wave on a string is described by the equation y(x, t) = 0.05 sin(2π(0.1x - 5t)). What is the amplitude of the wave?
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A.
0.01 m
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B.
0.05 m
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C.
0.1 m
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D.
0.2 m
Solution
The amplitude of the wave is the coefficient in front of the sine function. Here, the amplitude is 0.05 m.
Correct Answer: B — 0.05 m
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Q. A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)
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A.
25 m/s
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B.
50 m/s
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C.
100 m/s
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D.
75 m/s
Solution
Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.
Correct Answer: C — 100 m/s
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Q. A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)
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A.
4 m
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B.
2 m
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C.
3 m
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D.
1 m
Solution
Wavelength λ = v/f = 300 m/s / 75 Hz = 4 m.
Correct Answer: A — 4 m
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Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)
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A.
250 Hz
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B.
500 Hz
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C.
1000 Hz
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D.
2000 Hz
Solution
Using the wave equation v = fλ, we can find frequency f = v/λ = 500 m/s / 2 m = 250 Hz.
Correct Answer: A — 250 Hz
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Q. A wave travels with a speed of 340 m/s and has a frequency of 170 Hz. What is its wavelength? (2022)
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A.
2.0 m
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B.
1.0 m
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C.
0.5 m
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D.
3.0 m
Solution
Wavelength λ = v/f = 340 m/s / 170 Hz = 2.0 m.
Correct Answer: A — 2.0 m
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Q. A wheel of radius 0.5 m is rotating with an angular speed of 10 rad/s. What is the linear speed of a point on the edge of the wheel? (2022)
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A.
5 m/s
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B.
10 m/s
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C.
15 m/s
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D.
20 m/s
Solution
Linear speed v = rω = 0.5 m * 10 rad/s = 5 m/s.
Correct Answer: B — 10 m/s
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Q. A wheel rotates with a constant angular acceleration α. If its initial angular velocity is ω₀, what is its angular velocity after time t? (2023)
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A.
ω₀ + αt
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B.
ω₀ - αt
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C.
αt²
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D.
ω₀t
Solution
Using the equation of motion for rotation, ω = ω₀ + αt.
Correct Answer: A — ω₀ + αt
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Q. An object is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2023)
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A.
4 s
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B.
8 s
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C.
10 s
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D.
12 s
Solution
Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2*80/10) = sqrt(16) = 4 s.
Correct Answer: B — 8 s
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Q. An object is lifted vertically 4 m against gravity. If the mass of the object is 3 kg, what is the work done against gravity? (g = 9.8 m/s²)
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A.
117.6 J
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B.
29.4 J
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C.
39.2 J
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D.
78.4 J
Solution
Work done (W) = mgh = 3 kg × 9.8 m/s² × 4 m = 117.6 J.
Correct Answer: A — 117.6 J
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Q. An object is moving with a speed of 15 m/s and has a mass of 3 kg. What is its kinetic energy?
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A.
67.5 J
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B.
45 J
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C.
90 J
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D.
135 J
Solution
Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 3 kg × (15 m/s)² = 0.5 × 3 × 225 = 337.5 J.
Correct Answer: C — 90 J
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Q. An object is thrown vertically upwards with a velocity of 20 m/s. How high will it rise? (Assume g = 10 m/s²) (2020)
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A.
20 m
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B.
30 m
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C.
40 m
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D.
50 m
Solution
Using h = v²/(2g) = (20 m/s)² / (2 × 10 m/s²) = 20 m.
Correct Answer: A — 20 m
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Q. An object moves with a constant velocity of 10 m/s. What is the net force acting on it? (2023)
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A.
0 N
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B.
10 N
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C.
20 N
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D.
100 N
Solution
If the object moves with constant velocity, the net force acting on it is 0 N.
Correct Answer: A — 0 N
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Q. An object moves with a uniform acceleration of 2 m/s². If it starts from rest, what will be its velocity after 5 seconds?
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A.
5 m/s
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B.
10 m/s
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C.
15 m/s
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D.
20 m/s
Solution
Using the formula: v = u + at, where u = 0, a = 2 m/s², t = 5 s. v = 0 + 2 * 5 = 10 m/s.
Correct Answer: B — 10 m/s
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Q. An object moves with a uniform speed of 20 m/s. How far will it travel in 15 seconds?
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A.
200 m
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B.
300 m
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C.
400 m
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D.
500 m
Solution
Distance = speed * time = 20 m/s * 15 s = 300 m.
Correct Answer: C — 400 m
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Q. Calculate the weight of a 10 kg object on the surface of the Earth (g = 9.8 m/s²).
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A.
98 N
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B.
10 N
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C.
9.8 N
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D.
100 N
Solution
Weight W = m * g = 10 kg * 9.8 m/s² = 98 N.
Correct Answer: A — 98 N
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Q. How does gravitational potential energy (U) change when the distance from the center of the Earth increases? (2020)
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A.
It increases
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B.
It decreases
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C.
It remains constant
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D.
It becomes zero
Solution
Gravitational potential energy increases as the distance from the center of the Earth increases.
Correct Answer: A — It increases
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Q. How does the gravitational force between two objects change if the mass of one object is halved?
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A.
It doubles
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B.
It halves
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C.
It remains the same
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D.
It becomes zero
Solution
Gravitational force is directly proportional to the product of the masses. Halving one mass halves the force.
Correct Answer: B — It halves
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Q. How much heat is required to raise the temperature of 250 g of water from 25°C to 75°C? (Specific heat of water = 4.2 J/g°C) (2020)
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A.
5250 J
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B.
4200 J
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C.
2500 J
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D.
1000 J
Solution
Heat required = mass × specific heat × change in temperature = 250 g × 4.2 J/g°C × (75°C - 25°C) = 5250 J.
Correct Answer: A — 5250 J
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