Major Competitive Exams
Q. What is the relationship between pKa and Ka?
A.
pKa = -log(Ka)
B.
pKa = log(Ka)
C.
pKa = Ka
D.
pKa = 1/Ka
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Solution
The relationship is given by pKa = -log(Ka), where Ka is the acid dissociation constant.
Correct Answer: A — pKa = -log(Ka)
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Q. What is the relationship between power, force, and velocity?
A.
P = F * v
B.
P = F / v
C.
P = F + v
D.
P = F - v
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Solution
Power is defined as the product of force and velocity in the direction of the force, given by P = F * v.
Correct Answer: A — P = F * v
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Q. What is the relationship between power, voltage, and current in an electrical circuit?
A.
P = V/I
B.
P = VI
C.
P = V + I
D.
P = V - I
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Solution
In an electrical circuit, power is given by the formula P = VI, where P is power, V is voltage, and I is current.
Correct Answer: B — P = VI
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Q. What is the relationship between pressure and depth in a fluid at rest? (2019)
A.
Pressure increases with depth
B.
Pressure decreases with depth
C.
Pressure remains constant
D.
Pressure varies randomly
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Solution
In a fluid at rest, pressure increases with depth due to the weight of the fluid above.
Correct Answer: A — Pressure increases with depth
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Q. What is the relationship between pressure and depth in a fluid?
A.
Pressure increases with depth
B.
Pressure decreases with depth
C.
Pressure remains constant
D.
Pressure is independent of depth
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Solution
In a fluid at rest, pressure increases with depth due to the weight of the fluid above.
Correct Answer: A — Pressure increases with depth
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Q. What is the relationship between pressure and temperature for a fixed amount of gas at constant volume?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential
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Solution
Pressure and temperature are directly proportional for a fixed amount of gas at constant volume, as described by Gay-Lussac's law.
Correct Answer: A — Directly proportional
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Q. What is the relationship between pressure and temperature in Gay-Lussac's Law?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
Gay-Lussac's Law states that pressure is directly proportional to temperature when volume is constant.
Correct Answer: A — Directly proportional
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Q. What is the relationship between pressure and volume in Boyle's Law?
A.
P ∝ V
B.
PV = constant
C.
P + V = constant
D.
P/V = constant
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature, which can be expressed as PV = constant.
Correct Answer: B — PV = constant
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Q. What is the relationship between pressure and volume of a gas at constant temperature?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential
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Solution
According to Boyle's Law, pressure and volume of a gas are inversely proportional at constant temperature.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between pressure and volume of a gas at constant temperature according to Boyle's Law?
A.
P ∝ V
B.
PV = constant
C.
P + V = constant
D.
PV = nRT
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature, which can be expressed as PV = constant.
Correct Answer: B — PV = constant
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Q. What is the relationship between RMS speed and kinetic energy of gas molecules?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Depends on the gas
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Solution
The kinetic energy of gas molecules is directly proportional to the square of the RMS speed, as KE = (1/2)mv_rms^2.
Correct Answer: A — Directly proportional
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Q. What is the relationship between RMS speed and molecular weight?
A.
Directly proportional
B.
Inversely proportional
C.
No relation
D.
Exponential relation
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Solution
RMS speed is inversely proportional to the square root of molecular weight.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between shear modulus (G) and Young's modulus (E)?
A.
G = E / (2(1 + ν))
B.
G = E * (2(1 + ν))
C.
G = E / (1 + ν)
D.
G = E * (1 + ν)
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Solution
The relationship is given by G = E / (2(1 + ν)), where ν is Poisson's ratio.
Correct Answer: A — G = E / (2(1 + ν))
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Q. What is the relationship between shear modulus and Young's modulus for isotropic materials?
A.
G = E/2(1 + ν)
B.
G = E(1 + ν)/2
C.
G = E/3
D.
G = 2E
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Solution
The shear modulus (G) is related to Young's modulus (E) and Poisson's ratio (ν) by the formula G = E/2(1 + ν).
Correct Answer: A — G = E/2(1 + ν)
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Q. What is the relationship between shear modulus and Young's modulus?
A.
They are equal
B.
Shear modulus is always greater
C.
Shear modulus is less than Young's modulus
D.
They are inversely proportional
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Solution
Shear modulus is generally less than Young's modulus for most materials.
Correct Answer: C — Shear modulus is less than Young's modulus
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Q. What is the relationship between shear rate and viscosity in a Newtonian fluid?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
In a Newtonian fluid, shear stress is directly proportional to shear rate.
Correct Answer: A — Directly proportional
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Q. What is the relationship between shear stress and shear rate in a Newtonian fluid?
A.
Directly proportional
B.
Inversely proportional
C.
Exponential
D.
No relationship
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Solution
In a Newtonian fluid, shear stress is directly proportional to shear rate, which defines its viscosity.
Correct Answer: A — Directly proportional
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Q. What is the relationship between shear stress and shear strain in a material?
A.
Shear modulus
B.
Bulk modulus
C.
Young's modulus
D.
Poisson's ratio
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Solution
The relationship between shear stress and shear strain is defined by the shear modulus.
Correct Answer: A — Shear modulus
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Q. What is the relationship between stress and strain in the elastic limit of a material?
A.
Directly proportional
B.
Inversely proportional
C.
Exponential
D.
Logarithmic
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Solution
Within the elastic limit, stress is directly proportional to strain, as described by Hooke's Law.
Correct Answer: A — Directly proportional
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Q. What is the relationship between stress and strain in the elastic region of a material?
A.
Stress is directly proportional to strain
B.
Stress is inversely proportional to strain
C.
Stress is independent of strain
D.
Stress is proportional to the square of strain
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Solution
In the elastic region, stress is directly proportional to strain, as described by Hooke's Law.
Correct Answer: A — Stress is directly proportional to strain
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Q. What is the relationship between surface tension and temperature for most liquids?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential
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Solution
Surface tension is inversely proportional to temperature for most liquids.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between surface tension and the shape of a liquid droplet?
A.
Droplets are always flat
B.
Droplets are spherical
C.
Droplets can be any shape
D.
Droplets are cubic
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Solution
Due to surface tension, liquid droplets tend to minimize their surface area, resulting in a spherical shape.
Correct Answer: B — Droplets are spherical
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Q. What is the relationship between temperature and kinetic energy of gas molecules?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
The kinetic energy of gas molecules is directly proportional to the temperature.
Correct Answer: A — Directly proportional
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Q. What is the relationship between temperature and kinetic energy of particles in a substance?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Depends on the substance
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Solution
The average kinetic energy of particles in a substance is directly proportional to its temperature.
Correct Answer: A — Directly proportional
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Q. What is the relationship between temperature and kinetic energy of particles?
A.
Directly proportional
B.
Inversely proportional
C.
No relation
D.
Exponential relation
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Solution
The temperature of a substance is directly proportional to the average kinetic energy of its particles.
Correct Answer: A — Directly proportional
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Q. What is the relationship between temperature and the kinetic energy of gas molecules?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential
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Solution
The kinetic energy of gas molecules is directly proportional to the temperature of the gas.
Correct Answer: A — Directly proportional
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Q. What is the relationship between temperature and the rate of a chemical reaction?
A.
Rate decreases with temperature
B.
Rate increases with temperature
C.
Rate is independent of temperature
D.
Rate is constant at all temperatures
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Solution
The rate of a chemical reaction generally increases with an increase in temperature due to higher kinetic energy.
Correct Answer: B — Rate increases with temperature
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Q. What is the relationship between temperature and viscosity for most liquids?
A.
Viscosity increases with temperature
B.
Viscosity decreases with temperature
C.
Viscosity remains constant
D.
Viscosity fluctuates randomly
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Solution
For most liquids, viscosity decreases with an increase in temperature due to increased molecular motion.
Correct Answer: B — Viscosity decreases with temperature
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Q. What is the relationship between temperature and viscosity in liquids?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential
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Solution
In general, the viscosity of liquids decreases with an increase in temperature, making them flow more easily.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between the amplitude of a damped oscillator and time?
A.
Exponential decay
B.
Linear decay
C.
Quadratic decay
D.
Constant decay
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Solution
The amplitude of a damped oscillator decreases exponentially with time.
Correct Answer: A — Exponential decay
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