Physics Syllabus (JEE Main)
Q. In a temperature-resistivity graph, what does the slope represent for a metallic conductor?
A.
Resistivity
B.
Temperature coefficient of resistivity
C.
Resistance
D.
Conductivity
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Solution
The slope of the temperature-resistivity graph represents the temperature coefficient of resistivity.
Correct Answer: B — Temperature coefficient of resistivity
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Q. In a tensile test, if a material exhibits a linear stress-strain relationship, what type of deformation is it undergoing?
A.
Elastic deformation
B.
Plastic deformation
C.
Brittle fracture
D.
Ductile fracture
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Solution
A linear stress-strain relationship indicates that the material is undergoing elastic deformation.
Correct Answer: A — Elastic deformation
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Q. In a tensile test, if a material shows a linear relationship between stress and strain up to a certain point, this point is known as:
A.
Yield point
B.
Ultimate tensile strength
C.
Elastic limit
D.
Fracture point
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Solution
The elastic limit is the maximum stress that a material can withstand while still returning to its original shape.
Correct Answer: C — Elastic limit
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Q. In a tensile test, if a material shows a linear relationship between stress and strain, it is said to be in which region?
A.
Plastic region
B.
Elastic region
C.
Yield point
D.
Fracture point
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Solution
The linear relationship between stress and strain indicates that the material is in the elastic region.
Correct Answer: B — Elastic region
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Q. In a tensile test, if the stress-strain curve shows a linear relationship, what does this indicate about the material?
A.
It is inelastic
B.
It is elastic
C.
It has reached its yield point
D.
It will break immediately
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Solution
A linear relationship in the stress-strain curve indicates that the material behaves elastically within that range.
Correct Answer: B — It is elastic
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Q. In a thermodynamic cycle, if the net work done by the system is 200 J and the heat absorbed is 300 J, what is the change in internal energy?
A.
100 J
B.
200 J
C.
300 J
D.
500 J
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Solution
According to the First Law of Thermodynamics, ΔU = Q - W. Here, ΔU = 300 J - 200 J = 100 J.
Correct Answer: A — 100 J
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Q. In a thermodynamic cycle, the net work done is equal to the:
A.
Net heat added to the system
B.
Net heat removed from the system
C.
Change in internal energy
D.
Change in entropy
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Solution
In a thermodynamic cycle, the net work done is equal to the net heat added to the system, according to the first law of thermodynamics.
Correct Answer: A — Net heat added to the system
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Q. In a thermodynamic cycle, the net work done is equal to:
A.
Net heat added to the system
B.
Net change in internal energy
C.
Net heat removed from the system
D.
None of the above
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Solution
In a thermodynamic cycle, the net work done is equal to the net heat added to the system, as the internal energy change is zero.
Correct Answer: A — Net heat added to the system
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Q. In a thermodynamic process, if the internal energy of a system increases, which of the following could be true?
A.
Heat is added to the system
B.
Work is done by the system
C.
Both heat is added and work is done by the system
D.
Work is done on the system
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Solution
The internal energy of a system increases if heat is added to the system or work is done on the system.
Correct Answer: A — Heat is added to the system
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Q. In a thermodynamic process, if the pressure of a gas is held constant and the volume decreases, what happens to the temperature?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes negative
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Solution
According to Gay-Lussac's Law, if the volume decreases at constant pressure, the temperature must increase.
Correct Answer: B — It decreases
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Q. In a thermodynamic process, if the volume of a gas is doubled while keeping the temperature constant, what happens to the pressure?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
According to Boyle's Law, for a constant temperature, pressure is inversely proportional to volume. If volume doubles, pressure halves.
Correct Answer: B — It halves
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Q. In a thin film interference pattern, what happens to the colors observed as the angle of incidence increases?
A.
Colors become more vivid
B.
Colors disappear
C.
Colors shift
D.
Colors remain unchanged
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Solution
As the angle of incidence increases, the effective path difference changes, causing a shift in the observed colors.
Correct Answer: C — Colors shift
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Q. In a thin film interference, if the film is denser than the medium it is placed in, what happens to the phase of the reflected wave?
A.
No phase change
B.
Phase change of π
C.
Phase change of 2π
D.
Phase change of π/2
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Solution
When light reflects off a denser medium, it undergoes a phase change of π (180 degrees).
Correct Answer: B — Phase change of π
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Q. In a thin film interference, if the film is of thickness t and the refractive index is n, what is the condition for the first dark fringe?
A.
2nt = (m + 1/2)λ
B.
2nt = mλ
C.
2nt = (m - 1/2)λ
D.
2nt = 0
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Solution
For the first dark fringe in thin film interference, the condition is 2nt = (m + 1/2)λ, where m = 0.
Correct Answer: A — 2nt = (m + 1/2)λ
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Q. In a thin film interference, if the film is of thickness t and the wavelength of light is λ, what is the condition for destructive interference?
A.
2t = (m + 1/2)λ
B.
2t = mλ
C.
t = mλ
D.
t = (m + 1/2)λ
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Solution
Destructive interference occurs when 2t = (m + 1/2)λ, where m is an integer.
Correct Answer: A — 2t = (m + 1/2)λ
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Q. In a thin film interference, if the film is viewed in white light, which color will appear at the center of the pattern?
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
Red light has the longest wavelength and will appear at the center of the interference pattern.
Correct Answer: A — Red
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Q. In a thin film interference, what causes the colors seen in soap bubbles?
A.
Reflection and refraction
B.
Diffraction
C.
Scattering
D.
Absorption
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Solution
The colors in soap bubbles are due to thin film interference caused by the reflection and refraction of light at the film's surfaces.
Correct Answer: A — Reflection and refraction
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Q. In a thin film interference, what type of interference occurs when light reflects off a medium with a higher refractive index?
A.
Constructive
B.
Destructive
C.
No interference
D.
Total internal reflection
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Solution
When light reflects off a medium with a higher refractive index, a phase change of π occurs, leading to destructive interference.
Correct Answer: B — Destructive
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Q. In a thin film interference, which of the following conditions leads to a dark fringe?
A.
Path difference is an even multiple of lambda
B.
Path difference is an odd multiple of lambda
C.
Path difference is zero
D.
Path difference is an odd multiple of lambda/2
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Solution
A dark fringe occurs when the path difference is an odd multiple of the wavelength (λ/2), leading to destructive interference.
Correct Answer: B — Path difference is an odd multiple of lambda
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Q. In a thin film interference, which of the following conditions leads to destructive interference?
A.
2t = (m + 1/2)λ
B.
2t = mλ
C.
t = mλ/2
D.
t = (m + 1/2)λ/2
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Solution
Destructive interference in thin films occurs when the effective path difference is an odd multiple of half the wavelength, given by 2t = (m + 1/2)λ.
Correct Answer: A — 2t = (m + 1/2)λ
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Q. In a thin film of oil on water, if the thickness of the film is 0.1 mm and the wavelength of light in air is 600 nm, what is the condition for constructive interference?
A.
2t = (m + 0.5)λ
B.
2t = mλ
C.
2t = (m + 1)λ
D.
2t = mλ/2
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Solution
For constructive interference in a thin film with a denser medium below, the condition is 2t = mλ.
Correct Answer: B — 2t = mλ
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Q. In a thin film of oil on water, if the thickness of the film is 200 nm and the refractive index of oil is 1.5, what is the wavelength of light in the film?
A.
400 nm
B.
600 nm
C.
800 nm
D.
1000 nm
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Solution
Wavelength in the film λ' = λ/n. If λ = 900 nm, then λ' = 900 nm / 1.5 = 600 nm.
Correct Answer: B — 600 nm
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Q. In a thin film of oil on water, if the thickness of the film is 200 nm, what is the condition for the first order bright fringe?
A.
2t = (m + 1/2)λ
B.
2t = mλ
C.
t = (m + 1/2)λ
D.
t = mλ
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Solution
For constructive interference in a thin film, the condition is 2t = mλ, where m is an integer.
Correct Answer: B — 2t = mλ
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Q. In a thin film of oil on water, if the thickness of the film is 500 nm, what is the condition for destructive interference for light of wavelength 600 nm?
A.
2t = (m + 1/2)λ
B.
2t = mλ
C.
t = (m + 1/2)λ
D.
t = mλ
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Solution
For destructive interference in a thin film, the condition is 2t = (m + 1/2)λ, where m is an integer.
Correct Answer: A — 2t = (m + 1/2)λ
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Q. In a thin film of oil on water, if the thickness of the film is 500 nm, what is the condition for destructive interference for light of wavelength 600 nm in air?
A.
2t = (m + 1/2)λ
B.
2t = mλ
C.
t = (m + 1/2)λ
D.
t = mλ/2
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Solution
For destructive interference in a thin film, the condition is 2t = (m + 1/2)λ, where m is an integer.
Correct Answer: A — 2t = (m + 1/2)λ
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Q. In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and the wavelength of light in air is 600 nm, what is the wavelength of light in the oil?
A.
400 nm
B.
500 nm
C.
600 nm
D.
700 nm
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Solution
Wavelength in oil = λ/n, where n is the refractive index of oil. Assuming n = 1.5, λ_oil = 600 nm / 1.5 = 400 nm.
Correct Answer: C — 600 nm
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Q. In a thin film of oil on water, what color will be seen if the film is of thickness corresponding to destructive interference for blue light?
A.
Red
B.
Green
C.
Blue
D.
Yellow
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Solution
Destructive interference for blue light means blue light is canceled out, allowing longer wavelengths (like red) to be seen.
Correct Answer: A — Red
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Q. In a thin film of oil on water, what color will be seen if the film thickness is such that it causes constructive interference for blue light?
A.
Red
B.
Green
C.
Blue
D.
Yellow
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Solution
Constructive interference for blue light indicates that blue will be the color seen due to the film thickness.
Correct Answer: C — Blue
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Q. In a thin film of oil on water, which color is most likely to be seen at normal incidence?
A.
Red
B.
Blue
C.
Green
D.
Yellow
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Solution
The color seen depends on the thickness of the film and the wavelength of light. Typically, red is seen due to constructive interference for certain thicknesses.
Correct Answer: A — Red
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Q. In a thin film of oil on water, which color of light will be most prominently reflected if the film thickness is such that it causes constructive interference?
A.
Red
B.
Green
C.
Blue
D.
Yellow
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Solution
The color that is most prominently reflected depends on the thickness of the film and the wavelength of light. Typically, shorter wavelengths (like blue) are more affected by thin films.
Correct Answer: C — Blue
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