Prepizo
Learn › MH-CET · Physics › Wave Optics

Wave Optics — MH-CET Physics MCQs with Solutions

Free MH-CET Physics Wave Optics MCQs with step-by-step solutions covering Nature of Light & Huygens' Principle, Interference of Light, Young's Double Slit Experiment, Diffraction of Light, Polarisation of Light, Resolving Power & Optical Instruments. Practise online on Prepizo — no login needed.

▶ Practise Wave Optics online (free)

Subtopics

Sample questions with solutions

Q1 — Nature of Light & Huygens' Principle · easy · theory
According to Huygens' principle, every point on a wavefront acts as:
A. A point of zero amplitude
B. A source of longitudinal waves only
C. A perfect reflector of light
D. A source of secondary spherical wavelets  ✓ Correct
Solution: The new wavefront at a later instant is the forward envelope of all these secondary wavelets — the construction that explains reflection and refraction.
Q2 — Nature of Light & Huygens' Principle · easy · theory
A wavefront is defined as the locus of all points which are:
A. At the same distance from the observer
B. In the same phase of vibration  ✓ Correct
C. Of equal intensity only
D. Moving with the same speed
Solution: Every point on a given wavefront has been reached by the disturbance at the same instant, so they all vibrate in step.
Q3 — Nature of Light & Huygens' Principle · easy · theory
The wavefront produced by a point source of light at a finite distance is:
A. Plane
B. Spherical  ✓ Correct
C. Cylindrical
D. Parabolic
Solution: The disturbance spreads out equally in all directions, so surfaces of constant phase are concentric spheres. Far from the source a small patch approximates a plane wavefront.
Q4 — Nature of Light & Huygens' Principle · easy · theory
Light waves are:
A. Longitudinal electromagnetic waves
B. Transverse mechanical waves
C. Transverse electromagnetic waves  ✓ Correct
D. Longitudinal mechanical waves
Solution: The electric and magnetic fields oscillate perpendicular to the direction of propagation, which is why light can be polarised.
Q5 — Nature of Light & Huygens' Principle · easy · theory
The speed of light in vacuum is approximately:
A. $3 \times 10^8\text{ m/s}$  ✓ Correct
B. $3 \times 10^6\text{ m/s}$
C. $3 \times 10^{10}\text{ m/s}$
D. $3 \times 10^5\text{ m/s}$
Solution: The accepted value is $2.998 \times 10^8\text{ m/s}$, usually rounded to $3 \times 10^8\text{ m/s}$.
Q6 — Nature of Light & Huygens' Principle · easy · numerical
The refractive index of glass is $1.5$. The speed of light in the glass is:
A. $1.5 \times 10^8\text{ m/s}$
B. $3 \times 10^8\text{ m/s}$
C. $4.5 \times 10^8\text{ m/s}$
D. $2 \times 10^8\text{ m/s}$  ✓ Correct
Solution: $v = \dfrac{c}{\mu} = \dfrac{3 \times 10^8}{1.5} = 2 \times 10^8\text{ m/s}$.
Q7 — Nature of Light & Huygens' Principle · easy · numerical
Light of wavelength $600\text{ nm}$ enters a medium of refractive index $1.2$. Its wavelength in the medium is:
A. $720\text{ nm}$
B. $300\text{ nm}$
C. $500\text{ nm}$  ✓ Correct
D. $400\text{ nm}$
Solution: $\lambda_{medium} = \dfrac{600}{1.2} = 500\text{ nm}$.
Q8 — Nature of Light & Huygens' Principle · easy · numerical
Light of wavelength $400\text{ nm}$ enters a medium of refractive index $2$. Its wavelength there becomes:
A. $800\text{ nm}$
B. $400\text{ nm}$
C. $200\text{ nm}$  ✓ Correct
D. $100\text{ nm}$
Solution: $\lambda_{medium} = \dfrac{400}{2} = 200\text{ nm}$.
Q9 — Interference of Light · easy · theory
Two sources of light are said to be coherent if they emit waves of:
A. Different frequencies with equal amplitudes
B. The same frequency with a constant phase difference  ✓ Correct
C. Random phase differences
D. The same amplitude only
Solution: Only a steady phase relationship keeps the maxima and minima fixed long enough to be observed.
Q10 — Interference of Light · easy · theory
Constructive interference of light occurs when the path difference is:
A. Always zero
B. A quarter of the wavelength
C. An odd multiple of half the wavelength
D. An integral multiple of the wavelength  ✓ Correct
Solution: A path difference of $n\lambda$ brings the two waves into step, giving a bright fringe.
Q11 — Interference of Light · easy · theory
A dark fringe is formed when the path difference between two interfering waves is:
A. An integral multiple of a quarter wavelength
B. An integral multiple of the wavelength
C. Zero
D. An odd multiple of half the wavelength  ✓ Correct
Solution: A path difference of $(2n-1)\dfrac{\lambda}{2}$ puts the waves exactly out of step, so they cancel.
Q12 — Interference of Light · easy · numerical
At a point where the path difference between two interfering light waves is $\dfrac{\lambda}{2}$, the fringe observed is:
A. White
B. Of intermediate brightness
C. Bright
D. Dark, since the waves are exactly out of phase  ✓ Correct
Solution: A path difference of $\dfrac{\lambda}{2}$ corresponds to a phase difference of $\pi$, producing complete destructive interference.
Q13 — Interference of Light · easy · numerical
At a point the path difference between two interfering waves is $3\lambda$. The fringe there is:
A. Dark
B. Bright, since the path difference is an integral multiple of $\lambda$  ✓ Correct
C. Coloured
D. Of zero intensity
Solution: An integral number of wavelengths brings the waves back into step, giving constructive interference.
Q14 — Young's Double Slit Experiment · easy · theory
In Young's double slit experiment, the fringe width is given by:
A. $\beta = \dfrac{\lambda d}{D}$
B. $\beta = \lambda D d$
C. $\beta = \dfrac{D}{\lambda d}$
D. $\beta = \dfrac{\lambda D}{d}$  ✓ Correct
Solution: Here $D$ is the slit-to-screen distance and $d$ the slit separation; widening the slits narrows the fringes.
Q15 — Young's Double Slit Experiment · easy · theory
The central fringe in Young's double slit experiment is:
A. Bright, since the path difference there is zero  ✓ Correct
B. Of variable brightness
C. Coloured
D. Dark, since the waves cancel
Solution: The centre of the screen is equidistant from both slits, so the waves arrive exactly in step.
Q16 — Young's Double Slit Experiment · easy · theory
Increasing the separation between the two slits, with everything else unchanged, causes the fringe width to:
A. Increase
B. Remain unchanged
C. Become zero
D. Decrease  ✓ Correct
Solution: $\beta = \dfrac{\lambda D}{d}$ varies inversely with $d$, so wider slit separation crowds the fringes together.
Q17 — Young's Double Slit Experiment · easy · numerical
In Young's double slit experiment, doubling the distance between the slits and the screen makes the fringe width:
A. Half as large
B. Twice as large  ✓ Correct
C. Four times as large
D. Unchanged
Solution: $\beta \propto D$, so doubling the screen distance doubles the fringe width.
Q18 — Diffraction of Light · easy · theory
Diffraction of light is the phenomenon of:
A. Splitting of white light into colours
B. Restriction of vibrations to one plane
C. Reflection of light from a rough surface
D. Bending of light around the edges of an obstacle  ✓ Correct
Solution: Light spreads into the geometrical shadow when it encounters an obstacle or aperture comparable in size to its wavelength.
Q19 — Diffraction of Light · easy · theory
Diffraction effects become most pronounced when the size of the obstacle or aperture is:
A. Comparable to the wavelength of light  ✓ Correct
B. Much smaller than an atom
C. Independent of the wavelength
D. Much larger than the wavelength
Solution: This is why sound diffracts noticeably around a doorway while light, with its far shorter wavelength, casts sharp shadows.
Q20 — Diffraction of Light · easy · theory
A diffraction grating consists of:
A. A polished reflecting surface
B. Two slits separated by a small distance
C. A large number of equally spaced parallel slits  ✓ Correct
D. A single very narrow slit
Solution: Thousands of slits per centimetre produce very sharp, widely separated maxima, which makes a grating an excellent spectroscopic tool.
Q21 — Diffraction of Light · easy · theory
The phenomenon of diffraction establishes that light:
A. Has a wave nature  ✓ Correct
B. Travels in perfectly straight lines always
C. Consists only of particles
D. Carries no momentum
Solution: Bending into the geometrical shadow cannot be explained by rectilinear propagation of particles; it requires waves.
Q22 — Diffraction of Light · easy · numerical
If the wavelength of light is doubled, the width of the central diffraction maximum:
A. Remains unchanged
B. Halves
C. Doubles  ✓ Correct
D. Quadruples
Solution: Central width $\propto \lambda$, so longer wavelengths diffract more strongly.
Q23 — Polarisation of Light · easy · theory
The phenomenon of polarisation establishes that light waves are:
A. Of variable frequency
B. Longitudinal
C. Mechanical
D. Transverse  ✓ Correct
Solution: Only a transverse vibration can be restricted to a single plane; longitudinal waves such as sound cannot be polarised.
Q24 — Polarisation of Light · easy · theory
Malus' law relates the intensity transmitted by an analyser at angle $\theta$ to the incident plane-polarised intensity $I_0$ as:
A. $I = I_0\cos\theta$
B. $I = I_0\sin^2\theta$
C. $I = \dfrac{I_0}{\cos^2\theta}$
D. $I = I_0\cos^2\theta$  ✓ Correct
Solution: Only the component of the electric field along the transmission axis passes, and intensity goes as the square of the amplitude.
Q25 — Polarisation of Light · easy · theory
Two polaroids with their transmission axes perpendicular to each other transmit:
A. No light at all  ✓ Correct
B. Half the incident light
C. One quarter of the incident light
D. All the incident light
Solution: By Malus' law $I = I_0\cos^2 90^\circ = 0$; crossed polaroids extinguish the beam.
Q26 — Polarisation of Light · easy · theory
When unpolarised light of intensity $I_0$ passes through a single ideal polaroid, the transmitted intensity is:
A. $\dfrac{I_0}{4}$
B. $I_0$
C. $\dfrac{I_0}{2}$  ✓ Correct
D. Zero
Solution: Averaging $\cos^2\theta$ over all the random orientations present in unpolarised light gives $\dfrac{1}{2}$.
Q27 — Polarisation of Light · easy · numerical
Unpolarised light of intensity $I_0$ passes through an ideal polaroid. The transmitted intensity is:
A. $I_0$
B. $\dfrac{I_0}{2}$  ✓ Correct
C. Zero
D. $\dfrac{I_0}{4}$
Solution: A polaroid transmits on average half of unpolarised incident light.
Q28 — Polarisation of Light · easy · numerical
Plane-polarised light of intensity $I$ falls on an analyser at $45^\circ$ to the polariser. The transmitted intensity is:
A. $\dfrac{I}{4}$
B. $\dfrac{I}{2}$  ✓ Correct
C. $\dfrac{3I}{4}$
D. $I$
Solution: $I' = I\cos^2 45^\circ = I \times \dfrac{1}{2}$.
Q29 — Polarisation of Light · easy · numerical
Plane-polarised light falls on an analyser whose axis is parallel to the plane of polarisation. The transmitted intensity is:
A. Half the incident intensity
B. One quarter of it
C. Equal to the incident intensity  ✓ Correct
D. Zero
Solution: With $\theta = 0$, Malus' law gives $I = I_0\cos^2 0 = I_0$.
Q30 — Resolving Power & Optical Instruments · easy · theory
The limit of resolution of a telescope having objective diameter $D$ is:
A. $\dfrac{D}{1.22\lambda}$
B. $\dfrac{2.44\lambda}{D}$
C. $\dfrac{1.22\lambda}{D}$  ✓ Correct
D. $\dfrac{0.61\lambda}{D}$
Solution: This is Airy's result for the smallest angular separation that a circular aperture can resolve.