Undergraduate
Q. What is the function of the rough endoplasmic reticulum? (2020)
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A.
Lipid synthesis
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B.
Protein synthesis
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C.
Energy production
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D.
Detoxification
Solution
The rough endoplasmic reticulum is studded with ribosomes and is primarily involved in the synthesis of proteins.
Correct Answer: B — Protein synthesis
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Q. What is the function of the seminal vesicles? (2021)
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A.
To produce sperm
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B.
To provide nutrients to sperm
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C.
To store sperm
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D.
To produce testosterone
Solution
The seminal vesicles produce a fluid that provides nutrients to sperm and helps form semen.
Correct Answer: B — To provide nutrients to sperm
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Q. What is the function of the sepals in a flower? (2020)
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A.
Attract pollinators
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B.
Protect the flower bud
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C.
Produce pollen
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D.
Support the flower
Solution
Sepals protect the flower bud before it opens.
Correct Answer: B — Protect the flower bud
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Q. What is the function of the xylem in flowering plants? (2023)
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A.
Transport of nutrients
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B.
Transport of water
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C.
Photosynthesis
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D.
Storage of food
Solution
Xylem is responsible for the transport of water and minerals from the roots to the rest of the plant.
Correct Answer: B — Transport of water
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Q. What is the function of villi in the small intestine? (2019)
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A.
Secretion of enzymes
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B.
Absorption of nutrients
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C.
Production of bile
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D.
Storage of food
Solution
Villi increase the surface area of the small intestine, enhancing the absorption of nutrients.
Correct Answer: B — Absorption of nutrients
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Q. What is the functional group of alcohols? (2020)
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A.
-OH
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B.
-COOH
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C.
-CHO
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D.
-NH2
Solution
The functional group of alcohols is the hydroxyl group (-OH).
Correct Answer: A — -OH
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Q. What is the functional group of aldehydes?
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A.
-OH
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B.
-CHO
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C.
-C=O
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D.
-COOH
Solution
The functional group of aldehydes is -CHO.
Correct Answer: B — -CHO
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Q. What is the functional group of phenols? (2019) 2019
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A.
-OH
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B.
-COOH
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C.
-CHO
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D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic ring.
Correct Answer: A — -OH
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Q. What is the functional group present in alcohols? (2023) 2023
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A.
Aldehyde
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B.
Ketone
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C.
Hydroxyl
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D.
Carboxylic acid
Solution
Alcohols contain a hydroxyl (-OH) functional group.
Correct Answer: C — Hydroxyl
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Q. What is the functional group present in phenols? (2021)
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A.
-OH
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B.
-COOH
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C.
-CHO
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D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.
Correct Answer: A — -OH
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Q. What is the functional group present in phenols? (2021) 2021
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A.
-OH
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B.
-COOH
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C.
-CHO
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D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.
Correct Answer: A — -OH
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Q. What is the general formula for secondary amines? (2021) 2021
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A.
RNH2
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B.
R2NH
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C.
R3N
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D.
RNH
Solution
The general formula for secondary amines is R2NH, where R represents an alkyl or aryl group.
Correct Answer: B — R2NH
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Q. What is the general solution of the equation y' = 4y + 3?
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A.
y = Ce^(4x) - 3/4
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B.
y = Ce^(4x) + 3/4
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C.
y = 3e^(4x)
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D.
y = Ce^(3x) + 4
Solution
The integrating factor is e^(-4x). The solution is y = Ce^(4x) + 3/4.
Correct Answer: B — y = Ce^(4x) + 3/4
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Q. What is the general solution of the equation y'' - 3y' + 2y = 0?
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A.
y = C1 e^(x) + C2 e^(2x)
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B.
y = C1 e^(2x) + C2 e^(x)
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C.
y = C1 e^(3x) + C2 e^(0)
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D.
y = C1 e^(0) + C2 e^(3x)
Solution
The characteristic equation is r^2 - 3r + 2 = 0, which factors to (r - 1)(r - 2) = 0. Thus, the general solution is y = C1 e^(2x) + C2 e^(x).
Correct Answer: B — y = C1 e^(2x) + C2 e^(x)
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Q. What is the geometry of a molecule with two bonding pairs and no lone pairs on the central atom? (2023)
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A.
Linear
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B.
Trigonal planar
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C.
Tetrahedral
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D.
Bent
Solution
The geometry is linear when there are two bonding pairs and no lone pairs on the central atom.
Correct Answer: A — Linear
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Q. What is the geometry of the complex ion [Ag(NH3)2]+? (2019) 2019
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A.
Tetrahedral
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B.
Square planar
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C.
Octahedral
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D.
Linear
Solution
The complex [Ag(NH3)2]+ has a linear geometry due to the presence of two ligands around the silver ion.
Correct Answer: D — Linear
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Q. What is the gravitational potential energy of a 10 kg mass at a height of 10 m?
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A.
100 J
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B.
200 J
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C.
500 J
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D.
1000 J
Solution
Gravitational potential energy (PE) is given by PE = mgh. Here, PE = 10 kg * 9.81 m/s² * 10 m = 981 J.
Correct Answer: D — 1000 J
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Q. What is the gravitational potential energy of a 10 kg object at a height of 5 m? (g = 9.8 m/s²)
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A.
49 J
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B.
98 J
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C.
245 J
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D.
490 J
Solution
Gravitational potential energy (PE) is given by PE = mgh. Here, m = 10 kg, g = 9.8 m/s², and h = 5 m. PE = 10 * 9.8 * 5 = 490 J.
Correct Answer: B — 98 J
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Q. What is the gravitational potential energy of a 2 kg object at a height of 10 m? (2023)
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A.
20 J
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B.
15 J
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C.
10 J
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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 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 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)
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A.
9000 J
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B.
18000 J
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C.
36000 J
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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 hybridization of the central atom in [Ni(CO)4]? (2022)
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A.
sp
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B.
sp2
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C.
sp3
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D.
d2sp3
Solution
In [Ni(CO)4], the nickel atom undergoes sp3 hybridization to accommodate four CO ligands.
Correct Answer: C — sp3
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Q. What is the hybridization of the central metal ion in [Cr(NH3)6]3+? (2020) 2020
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A.
sp
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B.
sp2
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C.
d2sp3
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D.
dsp2
Solution
In [Cr(NH3)6]3+, the hybridization is d2sp3 due to the octahedral arrangement of six ligands.
Correct Answer: C — d2sp3
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Q. What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)
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A.
5 ohms
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B.
7 ohms
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C.
1 ohm
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D.
12 ohms
Solution
Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5 ohms.
Correct Answer: A — 5 ohms
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Q. What is the impedance of a circuit with a resistor of 10Ω and an inductor of 0.1 H at a frequency of 50 Hz? (2022)
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A.
10Ω
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B.
15.71Ω
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C.
20Ω
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D.
5Ω
Solution
Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.
Correct Answer: B — 15.71Ω
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Q. What is the impedance of a circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2022)
Solution
At resonance, the impedance is equal to the resistance, which is 4Ω.
Correct Answer: C — 4Ω
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Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)
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A.
R
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B.
√(R² + (2πfL)²)
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C.
R + 2πfL
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D.
R - 2πfL
Solution
The impedance Z in a series RL circuit is given by Z = √(R² + (2πfL)²).
Correct Answer: B — √(R² + (2πfL)²)
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Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at angular frequency ω? (2020)
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A.
R
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B.
√(R² + (ωL)²)
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C.
R + jωL
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D.
R + L
Solution
The impedance Z in a series R-L circuit is given by Z = √(R² + (ωL)²).
Correct Answer: B — √(R² + (ωL)²)
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Q. What is the integral of 1/x? (2022)
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A.
ln
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B.
x
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C.
+ C
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D.
1/x + C
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.
x + C
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.
x^2 + C
Solution
The integral of 1/x is ln|x| + C.
Correct Answer: A — ln
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