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 dimensional formula for frequency is: (2023)
A.
[T^-1]
B.
[M^0 L^0 T^-1]
C.
[M^1 L^1 T^-1]
D.
[M^0 L^1 T^0]
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Solution
Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].
Correct Answer: A — [T^-1]
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Q. The dimensional formula for velocity is: (2022)
A.
[M^0 L^1 T^-1]
B.
[M^1 L^1 T^0]
C.
[M^1 L^0 T^-1]
D.
[M^0 L^0 T^1]
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Solution
Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].
Correct Answer: A — [M^0 L^1 T^-1]
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Q. The direction of induced current can be determined by which law? (2023)
A.
Lenz's Law
B.
Faraday's Law
C.
Ohm's Law
D.
Ampere's Law
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Solution
Lenz's Law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.
Correct Answer: A — Lenz's Law
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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 between the plates of a parallel plate capacitor is given by which expression? (2020)
A.
E = V/d
B.
E = d/V
C.
E = CV
D.
E = Q/A
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Solution
The electric field (E) between the plates of a parallel plate capacitor is given by the expression E = V/d, where V is the voltage and d is the distance 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 electric potential due to a point charge is given by which formula? (2019)
A.
V = kQ/r
B.
V = Q/r
C.
V = kQ/r^2
D.
V = kQ
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Solution
The electric potential (V) due to a point charge (Q) at a distance (r) is given by V = kQ/r, where k is Coulomb's constant.
Correct Answer: A — V = kQ/r
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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 electrochemical series is a list of: (2023)
A.
Reactions
B.
Electrodes arranged by standard electrode potential
C.
Ionic compounds
D.
Gases
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Solution
The electrochemical series is a list of electrodes arranged by their standard electrode potentials, indicating their tendency to gain or lose electrons.
Correct Answer: B — Electrodes arranged by standard electrode potential
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Q. The energy of a simple harmonic oscillator is maximum at which point? (2022)
A.
Mean position
B.
Amplitude
C.
Quarter amplitude
D.
Half amplitude
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Solution
The energy of a simple harmonic oscillator is maximum at the amplitude, where the velocity is zero and all energy is potential.
Correct Answer: B — Amplitude
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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 energy stored in a capacitor is given by which of the following formulas? (2021)
A.
1/2 CV^2
B.
CV
C.
Q/V
D.
1/2 QV
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Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2, where C is capacitance and V is voltage.
Correct Answer: A — 1/2 CV^2
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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 equation of state for an ideal gas is given by: (2022)
A.
PV = nRT
B.
PV = NkT
C.
PV = mRT
D.
PV = kT
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Solution
The equation of state for an ideal gas is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.
Correct Answer: A — PV = nRT
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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 female reproductive part of a flower is called the: (2022)
A.
Stamen
B.
Pistil
C.
Petal
D.
Sepal
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Solution
The pistil is the female reproductive part of the flower, consisting of the ovary, style, and stigma.
Correct Answer: B — Pistil
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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 given by which law? (2020)
A.
Coulomb's Law
B.
Lorentz Force Law
C.
Faraday's Law
D.
Ampere's Law
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Solution
The force experienced by a charged particle moving in a magnetic field is described by the Lorentz Force Law, F = q(v × B).
Correct Answer: B — Lorentz Force Law
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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 given by which law? (2021)
A.
Coulomb's Law
B.
Lorentz Force Law
C.
Faraday's Law
D.
Ampere's Law
Show solution
Solution
The force (F) on a charged particle moving in a magnetic field is described by the Lorentz Force Law, F = q(v × B), where q is the charge, v is the velocity, and B is the magnetic field.
Correct Answer: B — Lorentz Force Law
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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
Show solution
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 force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the 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 moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.
Correct Answer: B — 90 degrees
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Q. The force on a charged particle moving in a magnetic field is maximum when: (2021)
A.
The particle moves parallel to the field
B.
The particle moves perpendicular to the field
C.
The particle is at rest
D.
The particle moves in a circular path
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Solution
The force on a charged particle moving in a magnetic field is maximum when the particle moves perpendicular to the field.
Correct Answer: B — The particle moves perpendicular to the field
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