Major Competitive Exams
Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m?
-
A.
20 J
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B.
15 J
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C.
10 J
-
D.
5 J
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s^2 * 10 m = 196 J.
Correct Answer: A — 20 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m? (g = 9.8 m/s²)
-
A.
196 J
-
B.
98 J
-
C.
20 J
-
D.
0 J
Solution
U = mgh = 2 * 9.8 * 10 = 196 J.
Correct Answer: A — 196 J
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 5 m?
-
A.
10 J
-
B.
20 J
-
C.
30 J
-
D.
40 J
Solution
Using U = mgh, U = 2 kg * 9.8 m/s^2 * 5 m = 98 J.
Correct Answer: B — 20 J
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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 5 kg mass at a height of 10 m above the ground?
-
A.
490 J
-
B.
500 J
-
C.
510 J
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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 mass 'm' at height 'h' above the Earth's surface?
-
A.
mgh
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B.
mg/h
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C.
gh/m
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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
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B.
U = mg/h
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C.
U = mgh²
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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 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 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 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 satellite of mass m at a height h above the Earth's surface?
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A.
-GMm/R
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B.
-GMm/(R+h)
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C.
-GMm/(R-h)
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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
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B.
G * (m1 * m2) / r
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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 half-life of a radioactive isotope?
-
A.
Time taken for half of the sample to decay
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B.
Time taken for the entire sample to decay
-
C.
Time taken for the sample to double
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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
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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
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B.
The time taken for the entire substance to decay
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C.
The time taken for the substance to double
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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 hybridization of a molecule with a tetrahedral shape?
-
A.
sp
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B.
sp2
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C.
sp3
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D.
sp3d
Solution
A tetrahedral shape corresponds to sp3 hybridization.
Correct Answer: C — sp3
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Q. What is the hybridization of nitrogen in a primary amine?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
None of the above
Solution
The nitrogen in a primary amine is sp3 hybridized.
Correct Answer: C — sp3
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Q. What is the hybridization of nitrogen in amines?
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A.
sp
-
B.
sp2
-
C.
sp3
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D.
sp3d
Solution
Nitrogen in amines is sp3 hybridized due to the presence of three substituents and a lone pair.
Correct Answer: C — sp3
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Q. What is the hybridization of the carbon atom in acetylene (C2H2)?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
In acetylene, each carbon atom is sp hybridized, forming a triple bond between them.
Correct Answer: A — sp
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Q. What is the hybridization of the carbon atom in CO2?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
In CO2, the carbon atom forms two double bonds with oxygen atoms, indicating sp hybridization.
Correct Answer: A — sp
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Q. What is the hybridization of the carbon atom in ethylene (C2H4)?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
sp3d
Solution
In ethylene, each carbon atom is sp2 hybridized, forming a double bond with the other carbon.
Correct Answer: B — sp2
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Q. What is the hybridization of the carbon atom in ethyne (C2H2)?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
The carbon atoms in ethyne (C2H2) are sp hybridized due to the triple bond between them.
Correct Answer: A — sp
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Q. What is the hybridization of the carbon atoms in an alkyne?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
In alkynes, the carbon atoms involved in the triple bond are sp hybridized.
Correct Answer: A — sp
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Q. What is the hybridization of the carbon atoms in benzene?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
The carbon atoms in benzene are sp2 hybridized, forming a planar structure with 120-degree bond angles.
Correct Answer: B — sp2
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Q. What is the hybridization of the carbon atoms in ethylene (C2H4)?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
sp3d
Solution
The carbon atoms in ethylene (C2H4) are sp2 hybridized due to the presence of a double bond.
Correct Answer: B — sp2
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Q. What is the hybridization of the carbon atoms in ethyne (C2H2)?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp3
Solution
In ethyne, the carbon atoms are sp hybridized due to the presence of a triple bond.
Correct Answer: A — sp
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Q. What is the hybridization of the carbon atoms involved in the double bond of alkenes?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
sp3d
Solution
The carbon atoms in the double bond of alkenes are sp2 hybridized.
Correct Answer: B — sp2
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