Medical Entrance
Q. The concept of absolute zero is defined as the temperature at which: (2020)
A.
Molecular motion ceases
B.
Pressure is zero
C.
Volume is zero
D.
Density is maximum
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Solution
Absolute zero is defined as the temperature at which molecular motion ceases, corresponding to 0 Kelvin.
Correct Answer: A — Molecular motion ceases
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Q. The concept of absolute zero refers to: (2020)
A.
The lowest possible temperature
B.
The temperature at which gas molecules stop moving
C.
Both A and B
D.
The temperature at which gas has maximum volume
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Solution
Absolute zero refers to the lowest possible temperature, at which gas molecules theoretically stop moving, making both A and B correct.
Correct Answer: C — Both A and B
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Q. The critical angle for total internal reflection occurs when light travels from: (2019)
A.
Air to water
B.
Water to air
C.
Glass to air
D.
Air to glass
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Solution
The critical angle occurs when light travels from a denser medium (water) to a less dense medium (air).
Correct Answer: B — Water to air
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Q. The Earth's magnetic field is approximately how many times weaker than that of a typical refrigerator magnet? (2023)
A.
10 times
B.
100 times
C.
1000 times
D.
10000 times
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Solution
The Earth's magnetic field is approximately 1000 times weaker than that of a typical refrigerator magnet.
Correct Answer: C — 1000 times
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Q. The efficiency of a Carnot engine depends on: (2022)
A.
The temperature of the hot reservoir only
B.
The temperature of the cold reservoir only
C.
The temperatures of both the hot and cold reservoirs
D.
The type of working substance used
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Solution
The efficiency of a Carnot engine is determined by the temperatures of both the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).
Correct Answer: C — The temperatures of both the hot and cold reservoirs
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Q. The electric field between the plates of a parallel plate capacitor is given by which formula? (2020)
A.
E = V/d
B.
E = Q/A
C.
E = CV
D.
E = 1/(4πε₀r²)
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Solution
The electric field (E) between the plates of a parallel plate capacitor is given by the formula E = V/d, where V is the voltage and d is the separation between the plates.
Correct Answer: A — E = V/d
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Q. The electric field due to a dipole at a point along the axial line is given by which formula? (2023)
A.
k * p / r²
B.
k * p / r³
C.
k * p / r
D.
k * p / r⁴
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Solution
The electric field E due to a dipole at a point along the axial line is given by E = (1/4πε₀) * (2p) / r³.
Correct Answer: B — k * p / r³
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Q. The electrochemical series is a list of elements arranged according to their: (2022)
A.
Atomic mass
B.
Electronegativity
C.
Standard electrode potentials
D.
Ionization energy
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Solution
The electrochemical series arranges elements based on their standard electrode potentials.
Correct Answer: C — Standard electrode potentials
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Q. The energy stored in a capacitor is directly proportional to which of the following? (2023)
A.
Charge
B.
Voltage
C.
Capacitance
D.
All of the above
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Solution
The energy stored in a capacitor is given by U = 1/2 CV^2, which shows it is proportional to both charge and voltage.
Correct Answer: D — All of the above
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Q. The entropy of a perfect crystalline substance at absolute zero is given by: (2021)
A.
0 J/K
B.
1 J/K
C.
2 J/K
D.
Depends on the substance
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Solution
According to the third law of thermodynamics, the entropy of a perfect crystalline substance at absolute zero is exactly zero.
Correct Answer: A — 0 J/K
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Q. The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What is the value of Kp? (2023)
A.
4
B.
16
C.
0.25
D.
0.0625
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Solution
Kp can be calculated from Kc using the relation Kp = Kc(RT)^(Δn), where Δn is the change in moles of gas. Here, Δn = 2 - 3 = -1, so Kp = Kc(0.0821T)^(-1). Assuming standard conditions, Kp = 4 * (1/RT) = 16.
Correct Answer: B — 16
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Q. The escape velocity from the surface of the Earth is approximately: (2019)
A.
7.9 km/s
B.
11.2 km/s
C.
9.8 km/s
D.
15 km/s
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Solution
The escape velocity from the surface of the Earth is approximately 11.2 km/s.
Correct Answer: B — 11.2 km/s
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Q. The Faraday's first law of electrolysis states that: (2018)
A.
The mass of substance deposited is directly proportional to the current
B.
The voltage is directly proportional to the current
C.
The energy is conserved
D.
The temperature remains constant
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Solution
Faraday's first law states that the mass of a substance deposited at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.
Correct Answer: A — The mass of substance deposited is directly proportional to the current
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Q. The five-kingdom classification system was proposed by: (2019)
A.
Linnaeus
B.
Whittaker
C.
Haeckel
D.
Darwin
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Solution
The five-kingdom classification system was proposed by Robert Whittaker.
Correct Answer: B — Whittaker
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Q. The force experienced by a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2020)
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
45 degrees
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Solution
The force (F) on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when θ = 90 degrees, as sin(90) = 1.
Correct Answer: B — 90 degrees
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Q. The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2021)
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
45 degrees
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Solution
The force on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when sin(θ) = 1, which occurs at θ = 90 degrees.
Correct Answer: B — 90 degrees
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Q. The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)
A.
10 rad/s
B.
5 rad/s
C.
15 rad/s
D.
20 rad/s
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Solution
Angular frequency (ω) = 2πf = 2π × 5 = 10 rad/s
Correct Answer: A — 10 rad/s
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Q. The Freundlich adsorption isotherm is best described by which equation? (2023)
A.
x/m = kP
B.
x/m = kP^(1/n)
C.
P = k(x/m)
D.
P = k(x/m)^(1/n)
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Solution
The Freundlich isotherm is represented by the equation x/m = kP^(1/n), where x is the amount adsorbed, m is the mass of the adsorbent, and P is the pressure.
Correct Answer: B — x/m = kP^(1/n)
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Q. The fusion of male and female gametes in plants is known as: (2021)
A.
Fertilization
B.
Pollination
C.
Germination
D.
Mitosis
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Solution
Fertilization is the process where the male gamete (sperm) fuses with the female gamete (egg) to form a zygote.
Correct Answer: A — Fertilization
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Q. The gravitational force is a function of which of the following? (2023)
A.
Masses and distance
B.
Masses only
C.
Distance only
D.
Masses and velocity
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Solution
The gravitational force depends on the masses of the objects and the distance between them, as per Newton's law of gravitation.
Correct Answer: A — Masses and distance
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Q. The gravitational potential energy of an object is defined as: (2023)
A.
The work done against gravity
B.
The kinetic energy of the object
C.
The energy due to motion
D.
The energy stored in the object
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Solution
Gravitational potential energy is defined as the work done against gravity to move an object to a height.
Correct Answer: A — The work done against gravity
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Q. The gravitational potential energy of an object of mass m at height h is given by which formula? (2023)
A.
mgh
B.
gh/m
C.
mg/h
D.
m/hg
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Solution
The gravitational potential energy is given by the formula U = mgh, where m is mass, g is acceleration due to gravity, and h is height.
Correct Answer: A — mgh
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Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life? (2022)
A.
t₁/₂ = 0.693/k
B.
t₁/₂ = k/0.693
C.
t₁/₂ = 1/k
D.
t₁/₂ = k/1
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Solution
The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.
Correct Answer: A — t₁/₂ = 0.693/k
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Q. The half-life of a first-order reaction is independent of the initial concentration. What is the expression for the half-life?
A.
t₁/₂ = 0.693/k
B.
t₁/₂ = k/0.693
C.
t₁/₂ = 1/k
D.
t₁/₂ = k/1
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Solution
The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.
Correct Answer: A — t₁/₂ = 0.693/k
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Q. The heat capacity at constant volume (Cv) is defined as: (2022)
A.
The amount of heat required to raise the temperature of a substance by 1°C at constant pressure.
B.
The amount of heat required to raise the temperature of a substance by 1°C at constant volume.
C.
The total heat content of a substance.
D.
The heat required to change the phase of a substance.
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Solution
The heat capacity at constant volume (Cv) is defined as the amount of heat required to raise the temperature of a substance by 1°C at constant volume.
Correct Answer: B — The amount of heat required to raise the temperature of a substance by 1°C at constant volume.
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Q. The heat capacity at constant volume is defined as: (2023)
A.
C_v = dQ/dT at constant pressure
B.
C_v = dQ/dT at constant volume
C.
C_v = dW/dT at constant volume
D.
C_v = dQ/dP at constant volume
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Solution
The heat capacity at constant volume (C_v) is defined as the amount of heat added to the system divided by the change in temperature at constant volume.
Correct Answer: B — C_v = dQ/dT at constant volume
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Q. The impedance of an RLC circuit is given by which of the following formulas? (2022)
A.
Z = R + jX
B.
Z = √(R² + (X_L - X_C)²)
C.
Z = R + X_L + X_C
D.
Z = R - jX
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Solution
The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.
Correct Answer: B — Z = √(R² + (X_L - X_C)²)
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Q. The impedance of an RLC circuit is minimum when which condition is satisfied? (2022)
A.
XL = XC
B.
R = 0
C.
R = XL
D.
R = XC
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Solution
The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.
Correct Answer: A — XL = XC
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Q. The law that relates the pressure and volume of a gas at constant temperature is known as: (2019)
A.
Charles's Law
B.
Avogadro's Law
C.
Boyle's Law
D.
Ideal Gas Law
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature.
Correct Answer: C — Boyle's Law
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Q. The magnetic field due to a straight current-carrying conductor at a distance r from the wire is given by which formula? (2019)
A.
B = μ₀I/(2πr)
B.
B = μ₀I/(4πr²)
C.
B = μ₀I/(2r)
D.
B = μ₀I/(πr)
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Solution
The magnetic field (B) due to a straight current-carrying conductor at a distance r is given by B = μ₀I/(2πr).
Correct Answer: A — B = μ₀I/(2πr)
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