Q. In which type of reproduction do offspring inherit traits from both parents? (2020)
A.
Asexual reproduction
B.
Sexual reproduction
C.
Budding
D.
Fragmentation
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Solution
In sexual reproduction, offspring inherit genetic material from both parents, leading to genetic variation.
Correct Answer:
B
— Sexual reproduction
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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 reproduction does the offspring develop from an unfertilized egg? (2022)
A.
Asexual reproduction
B.
Sexual reproduction
C.
Parthenogenesis
D.
Budding
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Solution
Parthenogenesis is a form of asexual reproduction where the offspring develops from an unfertilized egg.
Correct Answer:
C
— Parthenogenesis
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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
Show solution
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)
Show solution
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
Show solution
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)
Show solution
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
Show solution
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)
Show solution
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)
Show solution
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 average speed of gas molecules is given by which of the following expressions? (2022)
A.
√(8RT/πM)
B.
√(3RT/M)
C.
√(2RT/M)
D.
√(RT/M)
Show solution
Solution
The average speed of gas molecules is given by the expression v_avg = √(8RT/πM), where R is the universal gas constant, T is the temperature, and M is the molar mass of the gas.
Correct Answer:
A
— √(8RT/πM)
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Q. The average speed of gas molecules is given by which of the following formulas? (2023)
A.
(8kT/πm)^(1/2)
B.
(3kT/m)^(1/2)
C.
(2kT/m)^(1/2)
D.
(kT/m)^(1/2)
Show solution
Solution
The average speed of gas molecules is given by the formula v_avg = sqrt(8kT/πm), where k is the Boltzmann constant, T is the temperature, and m is the mass of a 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
Show solution
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
Show solution
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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