Physics Syllabus (JEE Main)
Q. In a compound microscope, which lens is the eyepiece?
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A.
Convex lens
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B.
Concave lens
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C.
Bifocal lens
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D.
Plano-convex lens
Solution
The eyepiece of a compound microscope is a convex lens.
Correct Answer: A — Convex lens
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Q. In a compound microscope, which lens is the objective lens?
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A.
The lens closest to the eye
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B.
The lens closest to the object
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C.
The lens with the longer focal length
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D.
The lens with the shorter focal length
Solution
The objective lens is the one closest to the object being viewed.
Correct Answer: B — The lens closest to the object
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Q. In a conical pendulum, if the angle of the string with the vertical is increased, what happens to the horizontal component of the tension?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
As the angle increases, the horizontal component of tension increases to provide the necessary centripetal force.
Correct Answer: A — Increases
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Q. In a cyclic process, the change in internal energy is:
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A.
Positive
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B.
Negative
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C.
Zero
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D.
Depends on the path taken
Solution
In a cyclic process, the system returns to its initial state, so the change in internal energy is zero.
Correct Answer: C — Zero
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Q. In a cyclic process, the change in internal energy of the system is:
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A.
Positive
-
B.
Negative
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C.
Zero
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D.
Depends on the work done
Solution
In a cyclic process, the system returns to its initial state, so the change in internal energy is zero.
Correct Answer: C — Zero
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Q. In a cyclic process, the net work done by the system is equal to:
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A.
The net heat added to the system
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B.
The change in internal energy
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C.
The heat lost by the system
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D.
Zero
Solution
In a cyclic process, the net work done by the system is zero because the system returns to its initial state.
Correct Answer: D — Zero
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Q. In a cyclic process, what is the net change in internal energy of the system?
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A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the path taken
Solution
In a cyclic process, the system returns to its initial state, so the net change in internal energy is zero.
Correct Answer: C — Zero
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Q. In a cyclic process, what is the net change in internal energy?
-
A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the process
Solution
In a cyclic process, the system returns to its initial state, so the net change in internal energy is zero.
Correct Answer: C — Zero
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Q. In a damped harmonic oscillator, if the amplitude decreases to half its initial value in 4 seconds, what is the damping ratio?
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A.
0.25
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B.
0.5
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C.
0.75
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D.
1.0
Solution
The damping ratio can be calculated using the logarithmic decrement method, leading to ζ = 0.25.
Correct Answer: A — 0.25
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Q. In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the time period of oscillation?
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A.
Time period increases
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B.
Time period decreases
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C.
Time period remains the same
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D.
Time period becomes zero
Solution
The time period of a damped harmonic oscillator remains the same; damping affects amplitude, not period.
Correct Answer: C — Time period remains the same
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Q. In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the amplitude of oscillation?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
In a damped harmonic oscillator, increasing the damping coefficient results in a decrease in the amplitude of oscillation over time.
Correct Answer: B — Decreases
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Q. In a damped harmonic oscillator, if the mass is doubled while keeping the damping coefficient constant, what happens to the damping ratio?
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A.
Doubles
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B.
Halves
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C.
Remains the same
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D.
Increases by a factor of √2
Solution
Damping ratio (ζ) = c / (2√(mk)). If m is doubled, ζ is halved.
Correct Answer: B — Halves
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Q. In a damped harmonic oscillator, what effect does increasing the damping coefficient have on the oscillation?
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A.
Increases amplitude
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B.
Decreases amplitude
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C.
Increases frequency
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D.
Decreases frequency
Solution
Increasing the damping coefficient results in a decrease in amplitude over time, leading to quicker energy loss.
Correct Answer: B — Decreases amplitude
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Q. In a damped harmonic oscillator, what happens to the amplitude of oscillation over time?
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A.
Increases
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B.
Decreases
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C.
Remains constant
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D.
Oscillates
Solution
In a damped harmonic oscillator, the amplitude of oscillation decreases over time due to energy loss.
Correct Answer: B — Decreases
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Q. In a damped harmonic oscillator, which factor primarily determines the rate of energy loss?
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A.
Mass of the oscillator
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B.
Spring constant
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C.
Damping coefficient
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D.
Frequency of oscillation
Solution
The damping coefficient determines how quickly the energy is lost in a damped harmonic oscillator.
Correct Answer: C — Damping coefficient
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Q. In a damped harmonic oscillator, which of the following quantities decreases over time?
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A.
Amplitude
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B.
Frequency
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C.
Angular frequency
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D.
Phase constant
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to the energy lost to damping forces.
Correct Answer: A — Amplitude
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Q. In a damped harmonic oscillator, which of the following statements is true?
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A.
Energy is conserved
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B.
Amplitude decreases over time
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C.
Frequency increases over time
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D.
Phase remains constant
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to the loss of energy.
Correct Answer: B — Amplitude decreases over time
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Q. In a damped harmonic oscillator, which parameter is primarily responsible for energy loss?
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A.
Mass
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B.
Spring constant
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C.
Damping coefficient
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D.
Driving force
Solution
The damping coefficient determines the rate of energy loss in a damped harmonic oscillator.
Correct Answer: C — Damping coefficient
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Q. In a damped harmonic oscillator, which parameter primarily determines the rate of energy loss?
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A.
Mass of the oscillator
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B.
Spring constant
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C.
Damping coefficient
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D.
Driving force
Solution
The damping coefficient determines how quickly energy is lost in a damped harmonic oscillator.
Correct Answer: C — Damping coefficient
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Q. In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?
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A.
0.1
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B.
0.2
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C.
0.3
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D.
0.4
Solution
Using E(t) = E_0 e^(-2ζω_nt), we find ζ = 0.2.
Correct Answer: B — 0.2
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Q. In a diffraction grating, if the number of slits is increased, what happens to the intensity of the maxima?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
Increasing the number of slits increases the intensity of the maxima due to constructive interference.
Correct Answer: A — Increases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the angular width of the principal maxima?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes zero
Solution
Increasing the number of slits increases the sharpness of the maxima, thus decreasing the angular width.
Correct Answer: B — Decreases
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Q. In a diffraction grating, if the number of slits is increased, what happens to the sharpness of the maxima?
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A.
Sharpness increases
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B.
Sharpness decreases
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C.
No effect
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D.
Maxima disappear
Solution
Increasing the number of slits in a diffraction grating increases the sharpness of the maxima due to constructive interference.
Correct Answer: A — Sharpness increases
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Q. In a diffraction grating, what is the relationship between the angle of diffraction and the order of the maximum?
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A.
Directly proportional
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B.
Inversely proportional
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C.
Independent
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D.
Exponential
Solution
The angle of diffraction is directly proportional to the order of the maximum in a diffraction grating.
Correct Answer: A — Directly proportional
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Q. In a diffraction pattern, how does the intensity of the maxima compare to the minima?
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A.
Maxima are always brighter than minima
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B.
Minima have the same intensity as maxima
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C.
Minima are always darker than maxima
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D.
Intensity is uniform throughout
Solution
In a diffraction pattern, the minima are always darker than the maxima, which have higher intensity.
Correct Answer: C — Minima are always darker than maxima
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Q. In a diffraction pattern, if the first minimum occurs at an angle of 30°, what is the ratio of the slit width to the wavelength?
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A.
1:2
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B.
1:√3
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C.
√3:1
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D.
2:1
Solution
Using the condition for the first minimum a sin(30°) = λ, we find the ratio a/λ = 1/√3.
Correct Answer: B — 1:√3
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Q. In a diffraction pattern, the intensity of the central maximum is how many times that of the first minimum?
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A.
Zero
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B.
One
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C.
Infinity
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D.
Two
Solution
The intensity of the central maximum is theoretically infinite compared to the first minimum, which has zero intensity.
Correct Answer: C — Infinity
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Q. In a diffraction pattern, the intensity of the central maximum is typically:
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A.
Zero
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B.
Minimum
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C.
Maximum
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D.
Constant
Solution
The intensity of the central maximum in a diffraction pattern is at its maximum compared to other maxima.
Correct Answer: C — Maximum
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Q. In a diffraction pattern, what does the intensity of the central maximum depend on?
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A.
Wavelength only
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B.
Slit width only
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C.
Both wavelength and slit width
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D.
Distance from the slit
Solution
The intensity of the central maximum in a diffraction pattern depends on both the wavelength of light and the slit width.
Correct Answer: C — Both wavelength and slit width
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Q. In a diffraction pattern, what does the term 'fringe separation' refer to?
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A.
Distance between two minima
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B.
Distance between two maxima
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C.
Distance between a maximum and a minimum
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D.
None of the above
Solution
Fringe separation refers to the distance between two consecutive maxima in a diffraction pattern.
Correct Answer: B — Distance between two maxima
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