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 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 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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Q. What is the highest peak in India?
-
A.
K2
-
B.
Kangchenjunga
-
C.
Nanda Devi
-
D.
Mount Everest
Solution
Kangchenjunga is the highest peak in India, standing at 8,586 meters.
Correct Answer: B — Kangchenjunga
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Q. What is the hybridization of a molecule with a tetrahedral shape?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
sp3d
Solution
A tetrahedral shape corresponds to sp3 hybridization.
Correct Answer: C — sp3
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Q. What is the hybridization of carbon atoms in benzene?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
dsp2
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 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?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
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 alkenes?
-
A.
sp
-
B.
sp2
-
C.
sp3
-
D.
None of the above
Solution
The carbon atoms in alkenes 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 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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