Q. In which type of reproduction does fertilization occur outside the body? (2022)
A.
Internal fertilization
B.
External fertilization
C.
Asexual reproduction
D.
Parthenogenesis
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Solution
External fertilization occurs when the sperm and egg unite outside the body, commonly seen in aquatic organisms.
Correct Answer: B — External fertilization
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Q. In which type of reproduction does fertilization occur? (2022)
A.
Asexual reproduction
B.
Binary fission
C.
Sexual reproduction
D.
Budding
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Solution
Fertilization occurs in sexual reproduction, where male and female gametes fuse to form a zygote.
Correct Answer: C — Sexual reproduction
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Q. In which type of reproduction does genetic variation occur? (2019)
A.
Asexual reproduction
B.
Sexual reproduction
C.
Binary fission
D.
Fragmentation
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Solution
Sexual reproduction involves the combination of genetic material from two parents, leading to genetic variation.
Correct Answer: B — Sexual reproduction
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Q. In which type of reproduction does regeneration occur? (2020)
A.
Asexual reproduction
B.
Sexual reproduction
C.
Both asexual and sexual reproduction
D.
None of the above
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Solution
Regeneration is a form of asexual reproduction where an organism can regrow lost parts.
Correct Answer: A — Asexual reproduction
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Q. In which type of solid are the constituent particles held together by covalent bonds? (2022)
A.
Ionic solids
B.
Covalent network solids
C.
Metallic solids
D.
Molecular solids
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Solution
Covalent network solids are held together by a network of covalent bonds, resulting in very high melting points.
Correct Answer: B — Covalent network solids
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Q. In which type of solid are the constituent particles held together by van der Waals forces? (2022)
A.
Ionic solids
B.
Covalent solids
C.
Metallic solids
D.
Molecular solids
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Solution
Molecular solids are held together by van der Waals forces.
Correct Answer: D — Molecular solids
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Q. Iron deficiency in plants typically leads to which of the following symptoms? (2022)
A.
Stunted growth
B.
Leaf curling
C.
Interveinal chlorosis
D.
Wilting
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Solution
Iron deficiency causes interveinal chlorosis, where the areas between the veins of leaves turn yellow.
Correct Answer: C — Interveinal chlorosis
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Q. Iron is essential for which of the following functions in plants? (2022)
A.
Chlorophyll synthesis
B.
Water uptake
C.
Nutrient transport
D.
Cell elongation
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Solution
Iron is crucial for chlorophyll synthesis and is involved in various enzymatic reactions in plants.
Correct Answer: A — Chlorophyll synthesis
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Q. Solve the differential equation dy/dx = 2x + 1.
A.
y = x^2 + x + C
B.
y = x^2 + 2x + C
C.
y = 2x^2 + x + C
D.
y = x^2 + C
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Solution
Integrating both sides, we get y = ∫(2x + 1)dx = x^2 + x + C.
Correct Answer: A — y = x^2 + x + C
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Q. Solve the differential equation dy/dx = 2y + 3. (2023)
A.
y = Ce^(2x) - 3/2
B.
y = Ce^(-2x) + 3/2
C.
y = 3e^(2x)
D.
y = 2e^(2x) + C
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Solution
Using an integrating factor, we find the solution is y = Ce^(2x) - 3/2.
Correct Answer: A — y = Ce^(2x) - 3/2
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Q. Solve the differential equation dy/dx = 6x^2y.
A.
y = Ce^(2x^3)
B.
y = Ce^(3x^2)
C.
y = Ce^(6x^2)
D.
y = Ce^(x^6)
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Solution
This is a separable equation. Integrating gives y = Ce^(2x^3).
Correct Answer: A — y = Ce^(2x^3)
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Q. Solve the differential equation dy/dx = y/x. (2023)
A.
y = Cx
B.
y = Cx^2
C.
y = C/x
D.
y = C ln(x)
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Solution
This is a separable equation. Integrating gives y = Cx.
Correct Answer: A — y = Cx
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Q. Solve the differential equation y' = 5 - 2y.
A.
y = 5/2 + Ce^(-2x)
B.
y = 5 + Ce^(-2x)
C.
y = 2 + Ce^(2x)
D.
y = 5/2 - Ce^(-2x)
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Solution
This is a linear first-order equation. The solution is y = 5/2 + Ce^(-2x).
Correct Answer: A — y = 5/2 + Ce^(-2x)
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Q. Solve the differential equation y' = 5y + 3.
A.
y = (3/5) + Ce^(5x)
B.
y = (5/3) + Ce^(5x)
C.
y = Ce^(5x) - 3
D.
y = Ce^(3x) + 5
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Solution
Using the integrating factor method, we find the solution y = (3/5) + Ce^(5x).
Correct Answer: A — y = (3/5) + Ce^(5x)
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Q. Solve the differential equation y'' - 3y' + 2y = 0.
A.
y = C1e^(2x) + C2e^(x)
B.
y = C1e^(x) + C2e^(2x)
C.
y = C1e^(-x) + C2e^(-2x)
D.
y = C1e^(3x) + C2e^(x)
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Solution
The characteristic equation is r^2 - 3r + 2 = 0, which factors to (r - 1)(r - 2) = 0. The general solution is y = C1e^(x) + C2e^(2x).
Correct Answer: B — y = C1e^(x) + C2e^(2x)
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Q. Solve the equation y' = 6y + 12.
A.
y = 2 - Ce^(-6x)
B.
y = Ce^(6x) - 2
C.
y = 2 + Ce^(6x)
D.
y = 6Ce^(-x)
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Solution
This is a first-order linear equation. The integrating factor method gives the solution y = 2 - Ce^(-6x).
Correct Answer: A — y = 2 - Ce^(-6x)
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Q. Solve the first-order differential equation dy/dx = y/x.
A.
y = Cx
B.
y = Cx^2
C.
y = C/x
D.
y = C ln(x)
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Solution
This is a separable equation. Separating variables and integrating gives y = Cx.
Correct Answer: A — y = Cx
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Q. Solve the first-order linear differential equation dy/dx + 2y = 6.
A.
y = 3 - Ce^(-2x)
B.
y = 3 + Ce^(-2x)
C.
y = 6 - Ce^(-2x)
D.
y = 6 + Ce^(-2x)
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Solution
Using an integrating factor e^(2x), we solve to get y = 3 - Ce^(-2x).
Correct Answer: A — y = 3 - Ce^(-2x)
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Q. Solve the first-order linear differential equation dy/dx + y/x = 1.
A.
y = x + C/x
B.
y = Cx - x
C.
y = Cx + x
D.
y = C/x + x
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Solution
Using the integrating factor e^(∫(1/x)dx) = x, we solve to get y = x + C/x.
Correct Answer: A — y = x + C/x
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Q. Solve the first-order linear differential equation dy/dx = y/x.
A.
y = Cx
B.
y = Cx^2
C.
y = C/x
D.
y = C ln(x)
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Solution
This is separable: dy/y = dx/x. Integrating gives ln|y| = ln|x| + C, thus y = Cx.
Correct Answer: A — y = Cx
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Q. Sulfur is a component of which of the following? (2022)
A.
Chlorophyll
B.
Amino acids
C.
Nucleic acids
D.
Starch
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Solution
Sulfur is a key component of certain amino acids, which are the building blocks of proteins.
Correct Answer: B — Amino acids
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Q. The Arrhenius equation relates which of the following? (2023)
A.
Rate constant and temperature
B.
Concentration and time
C.
Pressure and volume
D.
Energy and temperature
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Solution
The Arrhenius equation relates the rate constant (k) to temperature (T) and activation energy (Ea).
Correct Answer: A — Rate constant and temperature
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Q. The average speed of gas molecules is given by the formula:
A.
(8kT/πm)^(1/2)
B.
(3kT/m)^(1/2)
C.
(2kT/m)^(1/2)
D.
(kT/m)^(1/2)
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Solution
The average speed of gas molecules is given by the formula v_avg = (8kT/πm)^(1/2), where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Correct Answer: A — (8kT/πm)^(1/2)
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Q. The buoyant force acting on an object submerged in a fluid is equal to:
A.
The weight of the object
B.
The weight of the fluid displaced
C.
The density of the object
D.
The pressure of the fluid
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Solution
According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by the object.
Correct Answer: B — The weight of the fluid displaced
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Q. The buoyant force on an object submerged in a fluid is equal to: (2022)
A.
The weight of the object
B.
The weight of the fluid displaced
C.
The density of the object
D.
The volume of the object
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Solution
According to Archimedes' principle, the buoyant force on a submerged object is equal to the weight of the fluid displaced by the object.
Correct Answer: B — The weight of the fluid displaced
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Q. The capacitance of a parallel plate capacitor is directly proportional to which of the following? (2019)
A.
Distance between plates
B.
Area of plates
C.
Voltage across plates
D.
Dielectric constant
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Solution
Capacitance (C) is directly proportional to the area of the plates (A) and the dielectric constant (ε) and inversely proportional to the distance (d) between the plates.
Correct Answer: B — Area of plates
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Q. The capacitance of a parallel plate capacitor is given by which formula? (2020)
A.
C = ε₀A/d
B.
C = Q/V
C.
C = 1/(4πε₀r)
D.
C = V/I
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Solution
The capacitance (C) of a parallel plate capacitor is given by the formula C = ε₀A/d, where A is the area of the plates and d is the separation between them.
Correct Answer: A — C = ε₀A/d
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Q. The concept of 'survival of the fittest' is best associated with which of the following?
A.
Lamarckism
B.
Darwinism
C.
Mendelian Genetics
D.
Modern Synthesis
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Solution
'Survival of the fittest' is a phrase often associated with Darwinism, which emphasizes the role of natural selection in evolution.
Correct Answer: B — Darwinism
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Q. The concept of 'survival of the fittest' is most closely associated with which evolutionary theory?
A.
Lamarckism
B.
Darwinism
C.
Modern Synthesis
D.
Punctuated Equilibrium
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Solution
'Survival of the fittest' is a phrase often associated with Darwinism, which emphasizes natural selection as a key mechanism of evolution.
Correct Answer: B — Darwinism
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Q. The concept of 'survival of the fittest' is most closely associated with which of the following?
A.
Lamarck
B.
Darwin
C.
Mendel
D.
Wallace
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Solution
'Survival of the fittest' is a phrase often associated with Charles Darwin's theory of natural selection, emphasizing that those best adapted to their environment are more likely to survive and reproduce.
Correct Answer: B — Darwin
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