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 capacitance of a spherical capacitor depends on which of the following? (2019)
A.
Radius of the inner sphere
B.
Radius of the outer sphere
C.
Both radii
D.
None of the above
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Solution
The capacitance of a spherical capacitor depends on both the radius of the inner sphere and the outer sphere.
Correct Answer: C — Both radii
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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 expression? (2020)
A.
E = V/d
B.
E = d/V
C.
E = CV
D.
E = Q/A
Show solution
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 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)
Show solution
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 electric field due to a point charge is given by which formula? (2020)
A.
kQ/r^2
B.
kQ/r
C.
Q/4πε₀r^2
D.
Q/4πε₀r
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Solution
The electric field (E) due to a point charge (Q) is given by E = kQ/r^2, where k is Coulomb's constant.
Correct Answer: A — kQ/r^2
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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 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 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 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 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 forward bias condition in a diode occurs when: (2020)
A.
Anode is at a higher potential than cathode
B.
Cathode is at a higher potential than anode
C.
Both terminals are at the same potential
D.
None of the above
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Solution
In forward bias, the anode is connected to a higher potential than the cathode, allowing current to flow.
Correct Answer: A — Anode is at a higher potential than cathode
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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 frequency of a wave is 10 Hz. What is the frequency of its second harmonic? (2021)
A.
5 Hz
B.
10 Hz
C.
20 Hz
D.
30 Hz
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Solution
The frequency of the second harmonic is twice the fundamental frequency. Therefore, if the fundamental frequency is 10 Hz, the second harmonic frequency is 2 * 10 Hz = 20 Hz.
Correct Answer: C — 20 Hz
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Q. The gravitational field strength at a distance r from a mass M is given by which formula? (2022)
A.
GM/r^2
B.
Gm/r^2
C.
M/r^2
D.
G/r^2
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Solution
The gravitational field strength is given by E = GM/r^2.
Correct Answer: A — GM/r^2
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Q. The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)
A.
10 N
B.
5 N
C.
1.11 N
D.
0.11 N
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Solution
If the distance is tripled, the force becomes F/9, which is approximately 1.11 N.
Correct Answer: C — 1.11 N
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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 force is a: (2023)
A.
Contact force
B.
Non-contact force
C.
Frictional force
D.
Centripetal force
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Solution
Gravitational force acts at a distance without any physical contact between the masses.
Correct Answer: B — Non-contact force
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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 a 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.
Correct Answer: A — mgh
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