Q. What is the gravitational potential energy of a 2 kg mass at a height of 5 m? (g = 9.8 m/s²)
-
A.
19.6 J
-
B.
39.2 J
-
C.
49 J
-
D.
9.8 J
Solution
Potential Energy PE = m * g * h = 2 kg * 9.8 m/s² * 5 m = 98 J
Correct Answer:
B
— 39.2 J
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Q. What is the gravitational potential energy of a 2 kg object at a height of 10 m? (2023)
-
A.
20 J
-
B.
15 J
-
C.
10 J
-
D.
25 J
Solution
Gravitational potential energy (PE) = mgh = 2 kg × 9.8 m/s² × 10 m = 196 J.
Correct Answer:
A
— 20 J
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Q. What is the gravitational potential energy of a 5 kg mass at a height of 10 m above the ground?
-
A.
490 J
-
B.
500 J
-
C.
510 J
-
D.
450 J
Solution
Gravitational potential energy U = mgh = 5 * 9.8 * 10 = 490 J.
Correct Answer:
B
— 500 J
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Q. What is the gravitational potential energy of a 5 kg object at a height of 10 m?
-
A.
50 J
-
B.
100 J
-
C.
150 J
-
D.
200 J
Solution
Gravitational potential energy (PE) = m * g * h = 5 kg * 9.8 m/s² * 10 m = 490 J.
Correct Answer:
B
— 100 J
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Q. What is the gravitational potential energy of a mass 'm' at height 'h' above the Earth's surface?
-
A.
mgh
-
B.
mg/h
-
C.
gh/m
-
D.
mgh^2
Solution
The gravitational potential energy U at height h is given by U = mgh.
Correct Answer:
A
— mgh
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Q. What is the gravitational potential energy of a mass m at a height h above the Earth's surface?
-
A.
U = mgh
-
B.
U = mg/h
-
C.
U = mgh²
-
D.
U = gh/m
Solution
The gravitational potential energy is given by the formula U = mgh, where g is the acceleration due to gravity.
Correct Answer:
A
— U = mgh
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m above the ground? (g = 9.8 m/s²)
-
A.
490 J
-
B.
98 J
-
C.
588 J
-
D.
0 J
Solution
U = mgh = 10 * 9.8 * 5 = 490 J
Correct Answer:
A
— 490 J
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m in a gravitational field of strength 9.8 N/kg?
-
A.
490 J
-
B.
50 J
-
C.
98 J
-
D.
0 J
Solution
Gravitational potential energy U = mgh = 10 * 9.8 * 5 = 490 J.
Correct Answer:
A
— 490 J
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Q. What is the gravitational potential energy of a mass of 10 kg at a height of 5 m above the ground? (2000)
-
A.
500 J
-
B.
1000 J
-
C.
1500 J
-
D.
2000 J
Solution
Gravitational potential energy U = mgh = 10 kg * 9.8 m/s² * 5 m = 490 J, approximately 500 J.
Correct Answer:
B
— 1000 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m above the ground? (g = 9.8 m/s^2)
-
A.
196 J
-
B.
98 J
-
C.
20 J
-
D.
10 J
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s^2 * 10 m = 196 J.
Correct Answer:
A
— 196 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m? (g = 9.8 m/s²)
-
A.
19.6 J
-
B.
39.2 J
-
C.
78.4 J
-
D.
98 J
Solution
PE = mgh = 2 * 9.8 * 10 = 196 J
Correct Answer:
B
— 39.2 J
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Q. What is the gravitational potential energy of a mass of 2 kg at a height of 10 m in a gravitational field of 9.8 m/s²?
-
A.
19.6 J
-
B.
39.2 J
-
C.
78.4 J
-
D.
98 J
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s² * 10 m = 196 J.
Correct Answer:
B
— 39.2 J
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Q. What is the gravitational potential energy of a satellite of mass m at a height h above the Earth's surface?
-
A.
-GMm/R
-
B.
-GMm/(R+h)
-
C.
-GMm/(R-h)
-
D.
-GMm/(R^2 + h^2)
Solution
The gravitational potential energy of a satellite at height h is given by U = -GMm/(R+h), where R is the radius of the Earth.
Correct Answer:
B
— -GMm/(R+h)
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Q. What is the gravitational potential energy of an object of mass m at a height h above the Earth's surface?
-
A.
mgh
-
B.
gh/m
-
C.
mg/h
-
D.
mgh^2
Solution
The gravitational potential energy is given by the formula U = mgh.
Correct Answer:
A
— mgh
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Q. What is the gravitational potential energy of two masses m1 and m2 separated by a distance r?
-
A.
-G * (m1 * m2) / r
-
B.
G * (m1 * m2) / r
-
C.
G * (m1 + m2) / r
-
D.
-G * (m1 + m2) / r
Solution
The gravitational potential energy is given by U = -G * (m1 * m2) / r.
Correct Answer:
A
— -G * (m1 * m2) / r
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Q. What is the gravitational potential energy U of two masses m1 and m2 separated by a distance r?
-
A.
U = -G * (m1 * m2) / r
-
B.
U = G * (m1 * m2) / r
-
C.
U = (m1 + m2) * r
-
D.
U = G * (m1 - m2) / r
Solution
The gravitational potential energy is given by U = -G * (m1 * m2) / r.
Correct Answer:
A
— U = -G * (m1 * m2) / r
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Q. What is the greatest common divisor (GCD) of 36 and 48?
Solution
GCD of 36 and 48 is 12.
Correct Answer:
A
— 12
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Q. What is the greatest common divisor (GCD) of 48 and 64?
Solution
The GCD of 48 and 64 is 16.
Correct Answer:
C
— 16
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Q. What is the ground state electron configuration of an oxygen atom? (2023)
-
A.
1s² 2s² 2p⁴
-
B.
1s² 2s² 2p²
-
C.
1s² 2s² 2p⁶
-
D.
1s² 2s¹ 2p⁵
Solution
Oxygen has 8 electrons, and its ground state electron configuration is 1s² 2s² 2p⁴.
Correct Answer:
A
— 1s² 2s² 2p⁴
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Q. What is the group number of Alkali metals in the periodic table? (2023)
Solution
Alkali metals are located in group 1 of the periodic table.
Correct Answer:
A
— 1
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Q. What is the group number of Halogens in the periodic table? (2021)
Solution
Halogens are located in group 17 of the periodic table.
Correct Answer:
B
— 17
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Q. What is the half-life of a radioactive isotope?
-
A.
Time taken for half of the sample to decay
-
B.
Time taken for the entire sample to decay
-
C.
Time taken for the sample to double
-
D.
None of the above
Solution
The half-life is defined as the time taken for half of the radioactive sample to decay.
Correct Answer:
A
— Time taken for half of the sample to decay
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Q. What is the half-life of a radioactive substance if it takes 10 years for half of the substance to decay?
-
A.
5 years
-
B.
10 years
-
C.
20 years
-
D.
30 years
Solution
The half-life is defined as the time required for half of the radioactive substance to decay, which is given as 10 years.
Correct Answer:
B
— 10 years
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Q. What is the half-life of a radioactive substance?
-
A.
The time taken for half of the substance to decay
-
B.
The time taken for the entire substance to decay
-
C.
The time taken for the substance to double
-
D.
The time taken for the substance to reach equilibrium
Solution
The half-life of a radioactive substance is defined as the time taken for half of the substance to decay.
Correct Answer:
A
— The time taken for half of the substance to decay
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Q. What is the HCF of 36, 60, and 48?
Solution
The prime factorization gives: 36 = 2^2 * 3^2, 60 = 2^2 * 3 * 5, 48 = 2^4 * 3. The HCF is 2^2 * 3 = 12.
Correct Answer:
B
— 12
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Q. What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
-
A.
9000 J
-
B.
18000 J
-
C.
36000 J
-
D.
4500 J
Solution
Heat required Q = mcΔT = (2000 g)(0.9 J/g°C)(50°C) = 90000 J.
Correct Answer:
B
— 18000 J
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Q. What is the heat required to raise the temperature of 250 g of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C)
-
A.
4500 J
-
B.
5000 J
-
C.
6000 J
-
D.
7000 J
Solution
Q = m*c*ΔT = 250 g * 0.9 J/g°C * (75°C - 25°C) = 4500 J.
Correct Answer:
A
— 4500 J
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Q. What is the height of a building if the angle of elevation from a point 50 meters away is 45°?
Solution
Using tan(45°) = height/50, height = 50 * tan(45°) = 50.
Correct Answer:
A
— 50
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Q. What is the hexadecimal representation of the decimal number 16? (2023)
Solution
In hexadecimal, the decimal number 16 is represented as 10.
Correct Answer:
A
— 10
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Q. What is the highest civilian award in India? (1954)
-
A.
Padma Vibhushan
-
B.
Bharat Ratna
-
C.
Padma Bhushan
-
D.
Mahatma Gandhi Peace Prize
Solution
The Bharat Ratna is the highest civilian award in India, awarded for exceptional service towards the advancement of art, literature, and science.
Correct Answer:
B
— Bharat Ratna
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