Undergraduate
Q. A 1 kg block of metal at 100°C is placed in 2 kg of water at 20°C. Assuming no heat loss to the surroundings, what is the final temperature of the system? (Specific heat of water = 4.18 kJ/kg°C, specific heat of metal = 0.9 kJ/kg°C) (2020)
A.
25°C
B.
30°C
C.
35°C
D.
40°C
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Solution
Using the principle of conservation of energy, set heat lost by metal equal to heat gained by water to find the final temperature.
Correct Answer: C — 35°C
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Q. A 10 kg block is pushed with a force of 50 N. What is its acceleration? (2023)
A.
2 m/s²
B.
5 m/s²
C.
10 m/s²
D.
15 m/s²
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Solution
Using Newton's second law, F = ma, we have a = F/m = 50 N / 10 kg = 5 m/s².
Correct Answer: B — 5 m/s²
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Q. A 100 g piece of metal at 100°C is placed in 200 g of water at 20°C. What will be the final temperature of the system? (Specific heat of water = 4.2 J/g°C, specific heat of metal = 0.5 J/g°C) (2023)
A.
30°C
B.
40°C
C.
50°C
D.
60°C
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Solution
Using the heat transfer equation, we can find the final temperature to be 50°C.
Correct Answer: C — 50°C
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Q. A 100 W bulb is used for 5 hours. How much energy does it consume? (2016)
A.
500 Wh
B.
1000 Wh
C.
200 Wh
D.
250 Wh
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Solution
Energy consumed = Power × Time = 100 W × 5 h = 500 Wh.
Correct Answer: A — 500 Wh
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Q. A 1000 kg car is moving at a speed of 15 m/s. What is its kinetic energy?
A.
112,500 J
B.
75,000 J
C.
50,000 J
D.
25,000 J
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Solution
Kinetic Energy = 0.5 * m * v² = 0.5 * 1000 kg * (15 m/s)² = 112,500 J.
Correct Answer: A — 112,500 J
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Q. A 12 kg object is pushed with a force of 36 N. What is its acceleration? (2023)
A.
1 m/s²
B.
2 m/s²
C.
3 m/s²
D.
4 m/s²
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Solution
Using F = ma, we find a = F/m = 36 N / 12 kg = 3 m/s².
Correct Answer: C — 3 m/s²
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Q. A 12V battery is connected to a resistor of 4Ω. What is the current flowing through the circuit? (2022)
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Solution
Using Ohm's law, I = V/R = 12V / 4Ω = 3A.
Correct Answer: A — 2A
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Q. A 15 kg object is dropped from a height. What is the force acting on it due to gravity? (2023)
A.
15 N
B.
30 N
C.
45 N
D.
150 N
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Solution
Using F = mg, where g = 9.8 m/s², we have F = 15 kg * 9.8 m/s² = 147 N, which rounds to 150 N.
Correct Answer: B — 30 N
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Q. A 15 kg object is lifted to a height of 4 m. What is the work done against gravity? (g = 9.8 m/s²) (2021)
A.
588 J
B.
5880 J
C.
392 J
D.
294 J
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Solution
Work = mgh = 15 kg * 9.8 m/s² * 4 m = 588 J.
Correct Answer: A — 588 J
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Q. A 2 kg block of metal at 100°C is placed in 1 kg of water at 20°C. What is the final temperature of the system? (Specific heat of water = 4.2 J/g°C, specific heat of metal = 0.9 J/g°C) (2021)
A.
30°C
B.
40°C
C.
50°C
D.
60°C
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Solution
Using the heat transfer equation, the final temperature can be calculated to be 50°C.
Correct Answer: C — 50°C
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Q. A 20 kg cart is pulled with a force of 80 N. What is the acceleration of the cart? (2023)
A.
2 m/s²
B.
4 m/s²
C.
6 m/s²
D.
8 m/s²
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Solution
Using F = ma, we find a = F/m = 80 N / 20 kg = 4 m/s².
Correct Answer: B — 4 m/s²
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Q. A 25 kg object is acted upon by a force of 100 N. What is its acceleration? (2023)
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
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Solution
Using F = ma, we find a = F/m = 100 N / 25 kg = 4 m/s².
Correct Answer: D — 5 m/s²
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Q. A 5 kg object is dropped from a height of 10 m. What is its potential energy at the top? (g = 9.8 m/s²)
A.
490 J
B.
98 J
C.
50 J
D.
100 J
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Solution
Potential Energy = mgh = 5 kg * 9.8 m/s² * 10 m = 490 J.
Correct Answer: A — 490 J
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Q. A 50 kg object is moving with a velocity of 5 m/s. What is its momentum? (2023)
A.
100 kg·m/s
B.
150 kg·m/s
C.
200 kg·m/s
D.
250 kg·m/s
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Solution
Momentum p = mv = 50 kg * 5 m/s = 250 kg·m/s.
Correct Answer: A — 100 kg·m/s
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Q. A 50 kg object is pulled with a force of 200 N. What is its acceleration? (2023)
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
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Solution
Using F = ma, we find a = F/m = 200 N / 50 kg = 4 m/s².
Correct Answer: D — 5 m/s²
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Q. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height? (Take g = 10 m/s²) (2023)
A.
1 s
B.
2 s
C.
3 s
D.
4 s
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Solution
Time to reach maximum height = initial velocity / g = 20 / 10 = 2 s.
Correct Answer: B — 2 s
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Q. A ball is thrown upwards with a velocity of 20 m/s. How high will it go before coming to rest? (2023)
A.
10 m
B.
20 m
C.
30 m
D.
40 m
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Solution
Using the formula h = v²/(2g), where g = 10 m/s², h = (20 m/s)² / (2 * 10 m/s²) = 20 m.
Correct Answer: C — 30 m
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Q. A ball is thrown vertically upwards with a speed of 15 m/s. How high will it rise before coming to a stop? (2023)
A.
11.25 m
B.
15 m
C.
22.5 m
D.
30 m
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Solution
Using the formula: height = (initial velocity^2) / (2 * g), where g = 9.8 m/s². Height = (15^2) / (2 * 9.8) = 11.25 m.
Correct Answer: A — 11.25 m
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Q. A ball is thrown vertically upwards with a speed of 20 m/s. How high will it go? (g = 10 m/s²) (2023)
A.
10 m
B.
20 m
C.
30 m
D.
40 m
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Solution
Using the formula h = v²/(2g), we have h = (20 m/s)² / (2 * 10 m/s²) = 20 m.
Correct Answer: B — 20 m
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Q. A block of mass 2 kg is placed on a frictionless surface and is pushed with a force of 10 N. What is its acceleration?
A.
2 m/s²
B.
5 m/s²
C.
10 m/s²
D.
20 m/s²
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Solution
Using Newton's second law, F = ma. Here, F = 10 N and m = 2 kg. Therefore, a = F/m = 10/2 = 5 m/s².
Correct Answer: B — 5 m/s²
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Q. A block of mass 2 kg is sliding down a frictionless incline of height 5 m. What is its speed at the bottom of the incline?
A.
10 m/s
B.
5 m/s
C.
20 m/s
D.
15 m/s
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Solution
Using conservation of energy, potential energy at the top = kinetic energy at the bottom. mgh = 0.5mv². Thus, v = sqrt(2gh) = sqrt(2 * 9.81 * 5) = 10 m/s.
Correct Answer: A — 10 m/s
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Q. A box contains 4 white and 6 black balls. What is the probability of drawing a black ball? (2023)
A.
2/5
B.
3/5
C.
4/5
D.
1/5
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Solution
Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 4 white and 6 black balls. What is the probability of picking a black ball?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
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Solution
Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 5 white and 3 black balls. What is the probability of picking a black ball? (2021)
A.
3/8
B.
5/8
C.
1/2
D.
1/3
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Solution
Total balls = 5 + 3 = 8. Probability of black ball = 3/8.
Correct Answer: A — 3/8
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Q. A car accelerates from rest at a rate of 2 m/s². What is its speed after 5 seconds? (2023)
A.
5 m/s
B.
10 m/s
C.
15 m/s
D.
20 m/s
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Solution
Using the formula v = u + at, where u = 0, a = 2 m/s², and t = 5 s, we get v = 0 + 2 * 5 = 10 m/s.
Correct Answer: B — 10 m/s
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Q. A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)
A.
90 m
B.
120 m
C.
150 m
D.
180 m
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Solution
Using the formula: distance = initial velocity * time + 0.5 * acceleration * time^2. Here, acceleration = (0 - 30) / 6 = -5 m/s². Distance = 30 * 6 + 0.5 * (-5) * 6^2 = 180 - 90 = 90 m.
Correct Answer: B — 120 m
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Q. A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the kinetic energy gained?
A.
200,000 J
B.
100,000 J
C.
50,000 J
D.
20,000 J
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Solution
Kinetic Energy = 0.5 * m * v² = 0.5 * 1000 kg * (20 m/s)² = 200,000 J.
Correct Answer: B — 100,000 J
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Q. A card is drawn from a standard deck of 52 cards. What is the probability of drawing a heart?
A.
1/4
B.
1/13
C.
1/2
D.
1/52
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Solution
Number of hearts = 13. Probability = 13/52 = 1/4.
Correct Answer: A — 1/4
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Q. A charge of +4 µC is placed in a uniform electric field of strength 500 N/C. What is the work done in moving the charge 0.2 m in the direction of the field?
A.
400 J
B.
200 J
C.
100 J
D.
50 J
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Solution
W = F * d = (E * q) * d = (500 N/C * 4 × 10^-6 C) * 0.2 m = 0.4 J.
Correct Answer: B — 200 J
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Q. A charged particle moves in a magnetic field. What is the path of the particle? (2019)
A.
Straight line
B.
Circular
C.
Elliptical
D.
Parabolic
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Solution
A charged particle moving in a magnetic field experiences a force that is perpendicular to its velocity, resulting in circular motion.
Correct Answer: B — Circular
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