Physics Syllabus (JEE Main)
Q. In an ideal gas, the pressure is directly proportional to which of the following?
A.
Volume
B.
Temperature
C.
Number of moles
D.
Density
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Solution
According to Gay-Lussac's law, for a fixed amount of gas at constant volume, the pressure is directly proportional to the absolute temperature.
Correct Answer: B — Temperature
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Q. In an ideal gas, the root mean square speed of the gas molecules is given by which of the following formulas?
A.
v_rms = √(3RT/M)
B.
v_rms = √(RT/M)
C.
v_rms = √(2RT/M)
D.
v_rms = √(R/M)
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Solution
The root mean square speed of gas molecules is given by the formula v_rms = √(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
Correct Answer: A — v_rms = √(3RT/M)
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Q. In an ideal gas, the volume occupied by the gas molecules is:
A.
Negligible compared to the total volume
B.
Equal to the total volume
C.
Greater than the total volume
D.
None of the above
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Solution
In an ideal gas, the volume occupied by the gas molecules is considered negligible compared to the total volume of the gas.
Correct Answer: A — Negligible compared to the total volume
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Q. In an ideal gas, which of the following quantities is constant during an isothermal process?
A.
Pressure.
B.
Volume.
C.
Temperature.
D.
Number of moles.
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Solution
In an isothermal process, the temperature of the gas remains constant.
Correct Answer: C — Temperature.
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Q. In an isochoric process, the volume of the system:
A.
Increases
B.
Decreases
C.
Remains constant
D.
Varies with temperature
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Solution
An isochoric process is characterized by constant volume, meaning the volume does not change.
Correct Answer: C — Remains constant
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Q. In an isochoric process, what happens to the internal energy of a gas when heat is added?
A.
It decreases
B.
It remains constant
C.
It increases
D.
It depends on the gas
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Solution
In an isochoric process, the volume remains constant, and any heat added to the system increases the internal energy.
Correct Answer: C — It increases
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Q. In an isochoric process, what happens to the internal energy of an ideal gas when heat is added?
A.
It decreases.
B.
It remains constant.
C.
It increases.
D.
It depends on the amount of heat added.
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Solution
In an isochoric process, the volume remains constant, and any heat added increases the internal energy of the gas.
Correct Answer: C — It increases.
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Q. In an isothermal process for an ideal gas, which of the following is true?
A.
The internal energy remains constant.
B.
The temperature increases.
C.
The pressure decreases.
D.
The volume remains constant.
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Solution
In an isothermal process, the temperature remains constant, which implies that the internal energy of an ideal gas also remains constant.
Correct Answer: A — The internal energy remains constant.
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Q. In an isothermal process, how does the internal energy of an ideal gas change?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on the amount of gas
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Solution
In an isothermal process for an ideal gas, the temperature remains constant, and thus the internal energy also remains constant.
Correct Answer: C — Remains constant
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Q. In an isothermal process, the change in internal energy is:
A.
Positive
B.
Negative
C.
Zero
D.
Depends on the system
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Solution
In an isothermal process, the temperature remains constant, hence the change in internal energy is zero.
Correct Answer: C — Zero
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Q. In an isothermal process, the change in internal energy of an ideal gas is:
A.
Positive
B.
Negative
C.
Zero
D.
Depends on the amount of gas
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Solution
In an isothermal process for an ideal gas, the temperature remains constant, hence the change in internal energy is zero.
Correct Answer: C — Zero
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Q. In an isothermal process, the internal energy of an ideal gas:
A.
Increases
B.
Decreases
C.
Remains constant
D.
Depends on the amount of gas
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Solution
For an ideal gas, the internal energy is a function of temperature. In an isothermal process, the temperature remains constant, hence the internal energy remains constant.
Correct Answer: C — Remains constant
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Q. In an isothermal process, the temperature of the system remains constant. What is the work done by the gas?
A.
Zero
B.
nRT ln(Vf/Vi)
C.
nRT
D.
nR(Tf - Ti)
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Solution
In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).
Correct Answer: B — nRT ln(Vf/Vi)
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Q. In an isothermal process, the temperature of the system:
A.
Increases
B.
Decreases
C.
Remains constant
D.
Varies linearly
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Solution
In an isothermal process, the temperature of the system remains constant.
Correct Answer: C — Remains constant
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Q. In an isothermal process, which of the following remains constant?
A.
Pressure
B.
Volume
C.
Temperature
D.
Number of moles
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Solution
In an isothermal process, the temperature remains constant.
Correct Answer: C — Temperature
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Q. In an RL circuit, what is the time constant τ defined as?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.
Correct Answer: A — L/R
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Q. In an RL circuit, what is the time constant τ?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ for an RL circuit is given by τ = L/R, where L is the inductance and R is the resistance.
Correct Answer: A — L/R
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Q. In an RLC circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the bandwidth?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The bandwidth (Δf) of an RLC circuit is inversely proportional to the resistance (R). Increasing R decreases the bandwidth.
Correct Answer: B — Decreases
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Q. In an RLC circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
L = C
D.
f = 0
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Solution
Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).
Correct Answer: A — XL = XC
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Q. In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.
Correct Answer: B — Decreases
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Q. In an RLC series circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
XL > XC
D.
R > XL
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Solution
Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.
Correct Answer: A — XL = XC
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Q. In beta decay, which particle is emitted from the nucleus?
A.
Alpha particle
B.
Beta particle
C.
Gamma ray
D.
Neutron
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Solution
In beta decay, a beta particle (which is an electron or positron) is emitted from the nucleus.
Correct Answer: B — Beta particle
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Q. In Biot-Savart Law, what does the term 'dL' represent?
A.
Element of current
B.
Element of length
C.
Element of magnetic field
D.
Element of charge
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Solution
In Biot-Savart Law, 'dL' represents an infinitesimal element of length along the current-carrying conductor.
Correct Answer: B — Element of length
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Q. In digital communication, what does the term 'bit rate' refer to?
A.
The number of bits transmitted per second
B.
The number of bits stored in a device
C.
The number of bits in a signal
D.
The number of bits required for modulation
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Solution
Bit rate is defined as the number of bits transmitted per second in a digital communication system.
Correct Answer: A — The number of bits transmitted per second
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Q. In double-slit diffraction, what is the effect of increasing the distance between the slits on the fringe width?
A.
Fringe width increases
B.
Fringe width decreases
C.
Fringe width remains constant
D.
Fringe width becomes zero
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Solution
Increasing the distance between the slits increases the fringe width because the angle of diffraction increases.
Correct Answer: A — Fringe width increases
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Q. In double-slit diffraction, what is the path difference for constructive interference at the first order maximum?
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Solution
For constructive interference, the path difference must be an integer multiple of the wavelength, so for the first order maximum, it is λ.
Correct Answer: B — λ
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Q. In electromagnetic induction, what is the role of the changing magnetic field?
A.
It creates a static electric field
B.
It induces a current in a conductor
C.
It has no effect
D.
It increases resistance
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Solution
A changing magnetic field induces an electromotive force (EMF) in a conductor, leading to the flow of current.
Correct Answer: B — It induces a current in a conductor
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Q. In electrostatics, what is the significance of equipotential surfaces?
A.
They are surfaces where electric field is zero
B.
They are surfaces where potential is constant
C.
They are surfaces where charge density is uniform
D.
They are surfaces where current flows
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Solution
Equipotential surfaces are defined as surfaces where the electric potential is constant. No work is done when moving a charge along these surfaces.
Correct Answer: B — They are surfaces where potential is constant
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Q. In forced oscillations, what is the effect of increasing the amplitude of the driving force?
A.
Decreases the amplitude of oscillation
B.
Increases the amplitude of oscillation
C.
Has no effect on amplitude
D.
Causes the system to stop oscillating
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Solution
Increasing the amplitude of the driving force generally increases the amplitude of the forced oscillation.
Correct Answer: B — Increases the amplitude of oscillation
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Q. In forced oscillations, what is the phase difference between the driving force and the displacement at resonance?
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
270 degrees
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Solution
At resonance, the phase difference between the driving force and the displacement is 0 degrees, meaning they are in phase.
Correct Answer: A — 0 degrees
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