Q. What is the moment of inertia of a thin wire bent in the shape of a semicircle of radius R and mass M about the diameter?
A.
1/2 MR^2
B.
1/4 MR^2
C.
MR^2
D.
3/8 MR^2
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Solution
The moment of inertia of a thin wire bent in the shape of a semicircle about the diameter is I = 3/8 MR^2.
Correct Answer:
D
— 3/8 MR^2
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Q. What is the moment of inertia of a uniform rectangular plate of mass M and dimensions a x b about an axis through its center and parallel to side a?
A.
1/12 Ma^2
B.
1/12 Mb^2
C.
1/3 Ma^2
D.
1/3 Mb^2
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Solution
The moment of inertia of a rectangular plate about an axis through its center and parallel to side a is I = 1/3 Mb^2.
Correct Answer:
D
— 1/3 Mb^2
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Q. What is the moment of inertia of a uniform thin circular plate of mass M and radius R about an axis through its center and perpendicular to its plane?
A.
1/2 MR^2
B.
MR^2
C.
1/4 MR^2
D.
2/5 MR^2
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Solution
The moment of inertia of a uniform thin circular plate about an axis through its center and perpendicular to its plane is I = 1/2 MR^2.
Correct Answer:
A
— 1/2 MR^2
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Q. What is the moment of inertia of a uniform thin square plate of mass M and side length a about an axis through its center and parallel to one of its sides?
A.
1/6 Ma²
B.
1/12 Ma²
C.
1/4 Ma²
D.
1/3 Ma²
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Solution
The moment of inertia of a square plate about an axis through its center and parallel to one side is I = 1/12 Ma².
Correct Answer:
B
— 1/12 Ma²
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Q. What is the moment of inertia of a uniform triangular lamina of mass M and base b about an axis perpendicular to the base and passing through its centroid?
A.
1/18 Mb^2
B.
1/12 Mb^2
C.
1/6 Mb^2
D.
1/24 Mb^2
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Solution
The moment of inertia of a triangular lamina about an axis through its centroid is I = 1/12 Mb^2.
Correct Answer:
B
— 1/12 Mb^2
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Q. What is the momentum of a 3 kg object moving at a velocity of 4 m/s? (2017)
A.
12 kg·m/s
B.
7 kg·m/s
C.
15 kg·m/s
D.
10 kg·m/s
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Solution
Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.
Correct Answer:
A
— 12 kg·m/s
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Q. What is the monomer of nucleic acids? (2023)
A.
Amino acid
B.
Nucleotide
C.
Monosaccharide
D.
Fatty acid
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Solution
Nucleotides are the monomers that make up nucleic acids.
Correct Answer:
B
— Nucleotide
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Q. What is the monomer of polyethylene?
A.
Ethylene
B.
Propylene
C.
Butylene
D.
Styrene
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Solution
Polyethylene is made from the polymerization of ethylene monomers.
Correct Answer:
A
— Ethylene
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Q. What is the monomer of polystyrene?
A.
Ethylene
B.
Styrene
C.
Propylene
D.
Vinyl chloride
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Solution
The monomer of polystyrene is styrene, which polymerizes to form polystyrene.
Correct Answer:
B
— Styrene
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Q. What is the most abundant element in the universe?
A.
Oxygen
B.
Hydrogen
C.
Carbon
D.
Helium
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Solution
Hydrogen is the most abundant element in the universe.
Correct Answer:
B
— Hydrogen
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Q. What is the most appropriate synonym for the word 'ubiquitous' as used in the passage?
A.
Rare
B.
Widespread
C.
Obscure
D.
Temporary
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Solution
'Ubiquitous' means present everywhere or widespread, making 'widespread' the correct synonym.
Correct Answer:
B
— Widespread
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Q. What is the most logical order of the following sentences to form a coherent paragraph? 1. This can lead to a lack of trust. 2. Transparency is crucial in any organization. 3. Employees may feel undervalued. 4. Without it, communication breaks down.
A.
2, 4, 1, 3
B.
1, 2, 3, 4
C.
4, 2, 3, 1
D.
3, 1, 4, 2
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Solution
The logical order is 2, 4, 1, 3, as it starts with the importance of transparency, followed by the consequences of its absence.
Correct Answer:
A
— 2, 4, 1, 3
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Q. What is the multiplicative inverse of 3 modulo 11?
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Solution
The multiplicative inverse of 3 mod 11 is 4, since 3 * 4 = 12 ≡ 1 (mod 11).
Correct Answer:
A
— 4
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Q. What is the multiplicative inverse of 3 modulo 7?
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Solution
The multiplicative inverse of 3 mod 7 is 5 because (3 * 5) mod 7 = 15 mod 7 = 1.
Correct Answer:
A
— 2
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Q. What is the name of the climate agreement adopted in 2015? (2015)
A.
Kyoto Protocol
B.
Paris Agreement
C.
Copenhagen Accord
D.
Montreal Protocol
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Solution
The Paris Agreement was adopted in 2015 to address climate change and its impacts.
Correct Answer:
B
— Paris Agreement
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Q. What is the name of the Indian government initiative launched in 2021 to provide financial assistance to small and medium enterprises affected by the pandemic?
A.
Startup India
B.
Atmanirbhar Bharat
C.
PM Employment Generation Programme
D.
MSME Relief Fund
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Solution
The MSME Relief Fund was launched to provide financial assistance to small and medium enterprises affected by the pandemic.
Correct Answer:
D
— MSME Relief Fund
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Q. What is the name of the Indian government scheme launched in 2021 to promote digital payments in rural areas?
A.
Digital India
B.
Digi Dhan Abhiyan
C.
PMGDISHA
D.
Digital Payment Initiative
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Solution
The Digi Dhan Abhiyan was launched to promote digital payments in rural areas.
Correct Answer:
B
— Digi Dhan Abhiyan
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Q. What is the name of the Indian government scheme launched in 2021 to provide financial assistance to farmers during the COVID-19 pandemic?
A.
Pradhan Mantri Kisan Samman Nidhi
B.
PM Garib Kalyan Yojana
C.
Kisan Credit Card Scheme
D.
Soil Health Card Scheme
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Solution
The PM Garib Kalyan Yojana was launched to provide financial assistance to farmers and vulnerable sections during the pandemic.
Correct Answer:
B
— PM Garib Kalyan Yojana
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Q. What is the name of the Indian government scheme launched in 2021 to provide free COVID-19 vaccinations to all citizens?
A.
Ayushman Bharat
B.
Pradhan Mantri Garib Kalyan Yojana
C.
PM Vaccination Scheme
D.
COVID-19 Vaccination for All
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Solution
The PM Vaccination Scheme was launched to provide free COVID-19 vaccinations to all citizens.
Correct Answer:
C
— PM Vaccination Scheme
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Q. What is the name of the reaction where benzene is converted to phenol?
A.
Hydrogenation
B.
Nitration
C.
Sulfonation
D.
Hydroxylation
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Solution
The conversion of benzene to phenol is known as hydroxylation, typically involving the addition of a hydroxyl group (-OH) to the aromatic ring.
Correct Answer:
D
— Hydroxylation
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Q. What is the nature of the image formed by a concave lens when the object is placed at infinity?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
A concave lens always produces a virtual and upright image regardless of the object's position.
Correct Answer:
B
— Virtual and upright
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Q. What is the nature of the image formed by a concave lens?
A.
Real and inverted
B.
Real and upright
C.
Virtual and upright
D.
Virtual and inverted
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Solution
A concave lens always forms a virtual and upright image.
Correct Answer:
C
— Virtual and upright
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Q. What is the nature of the image formed by a concave mirror when the object is placed beyond the center of curvature?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is beyond the center of curvature, the image formed is real and inverted.
Correct Answer:
A
— Real and inverted
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Q. What is the nature of the image formed by a concave mirror when the object is placed between the focal point and the mirror? (2021)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
Show solution
Solution
When the object is placed between the focal point and the mirror, the image formed is virtual and erect.
Correct Answer:
B
— Virtual and erect
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Q. What is the nature of the image formed by a convex lens when the object is placed at a distance greater than twice the focal length?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is placed beyond 2f, the image formed by a convex lens is real and inverted.
Correct Answer:
A
— Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed beyond the focal point?
A.
Virtual and upright
B.
Real and inverted
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
When the object is beyond the focal point, the image formed by a convex lens is real and inverted.
Correct Answer:
B
— Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed at infinity?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
Show solution
Solution
When the object is at infinity, the rays converge at the focal point, forming a real and inverted image.
Correct Answer:
A
— Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed beyond the focal length?
A.
Virtual and erect
B.
Real and inverted
C.
Real and erect
D.
Virtual and inverted
Show solution
Solution
When an object is placed beyond the focal length of a convex lens, the image formed is real and inverted.
Correct Answer:
B
— Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed at twice the focal length?
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
Show solution
Solution
When the object is at 2f, the image is formed at 2f on the opposite side, making it real and inverted.
Correct Answer:
A
— Real and inverted
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Q. What is the nature of the image formed by a convex lens when the object is placed beyond the 2F point? (2019)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
Show solution
Solution
When the object is placed beyond 2F, the image formed by a convex lens is real, inverted, and diminished.
Correct Answer:
A
— Real and inverted
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