Wave optics practice · Mixed difficulty

Statement-1: In YDSE, if separation between slits is less than wavelength of light, then no interference pattern could be observed.
Statement-2: For interference pattern to be observed, light sources have to be coherent.

A single slit is used to observe diffraction pattern with red light. On replacing the red light with violet light the diffraction pattern would

Two stars are situated at a distance of 8 light year from the earth. These are to be just resolved by a telescope of diameter $0.25\;m$. If the wavelength of light used is $\mathrm{5000}\;\mathop \mathrm{A}\limits^ \circ$, then the distance between the stars must be

A stone thrown into still water, creates a circular wave pattern moving radially outwards. If $r$ is the distance measured from the centre of the pattern, the amplitude of the wave varies as

Yellow light is used in single slit diffraction experiment with slit width $\mathrm{0}\mathrm{.6}\;\mathrm{mm}$. If yellow light is replaced by $\mathrm{X}$-rays, then the pattern will reveal that

Newton postulated his corpuscular theory on the basis of

Refractive index of material is equal to tangent of polarising angle. It is called

Two waves coming from two coherent sources, having different intensities interfere their ratio of maximum intensity to the minimum intensity is $25$. The intensities of the sources are in the ratio

The first diffraction minima due to a single slit diffraction is at $\theta = 30^\circ$ for a light of wavelength $5000\,\,\mathop \mathrm{A}\limits^ \circ$. The width of the slit is

A diffraction pattern is obtained using a beam of red light. What happens if the red light is replaced by blue light

Which of the following is not a property of light

In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by $5 \times {10^{ - 2}}\,m$ towards the slits, the change in fringe width is $3 \times {10^{ - 5}}\,m$. If separation between the slits is ${10^{ - 3}}\,m$ the wavelength of light used is

In Young’s double slit experiment the wavelength of light was changed from $7000\;\mathop {\mathrm{A}\;to\;}\limits^ \circ \;3500\;\mathop \mathrm{A}\limits^ \circ$. While doubling the separation between the slits which of the following is not true for this experiment

Wavefront means

Intensity of central maxima in Young’s double slit experiment is found to be 20 units. Then intensity at a point where phase difference between identical interfering waves is $\frac{\pi }{2}$ is

Assertion : When light ray is incident at polarizing angle on glass, reflected light is partially polarized.

Reason : The intensity of light decreases in polarization.

Light waves can be polarized as they are

Statement-1: Two thirds of possible values for phase difference result in constructive interference and one third results in destructive interference.
Statement-2: Interference is called constructive if the amplitude of the superposed waves exceeds that of one individual wave.

Assertion : In YDSE the fringe separation doesn’t contain any information about intensity of individual source.

Reason : Fringe width depends on wavelength of source.

The solar spectrum during a complete solar eclipse is

Specific rotation of sugar solution is $\mathrm{0}\mathrm{.5}\;\mathrm{deg}\;{\mathrm{m}^2}\;\mathrm{k}/\mathrm{g}\mathrm{.}\;200\;\mathrm{kg}{\mathrm{m}^{ - 3}}$  of impure sugar solution is taken in a sample polarimeter tube of length $20\;c\mathrm{m}$ and optical rotation is found to be $19^\circ$. The percentage of purity of sugar is

Assertion: Incoming light reflected by earth is partially polarized.
Reason: Atmospheric particle polarize the light.

Assertion (A) : For two sources to be coherent phase difference between two waves at all points should be same.

Reason (R) : Two different light sources are never coherent.

Select the right option in the following

Two light sources are said to be coherent if they are obtained from

The separation between two microscopic particles is measured ${P_A}$ and ${P_B}$by two different lights of wavelength $2000\,\,\mathop \mathrm{A}\limits^ \circ$ and $3000\,\,\mathop \mathrm{A}\limits^ \circ$ respectively, then

A glass plate $12 \times 10^{-3} \mathrm{~mm}$ thick is placed in the path of one of the interfering beams in a Young's double slit interference arrangement using monochromatic light of wavelength $6000 \mathop A\limits^ \circ$. If the central band shifts a distance equal to width of 10 bands. What is the thickness (in $\mu \mathrm{m}$) of the plate of diamond of refractive index $2.5$ that has to be introduced in the path of second beam to bring the central band to original position?

A beam of light consisting of wavelengths $6000\mathop {\text{A}}\limits^ \circ$ and $4500\mathop {\text{A}}\limits^ \circ$ is used in a YDSE with D=1m and d=1 ${mm}$. Find the least distance from the central maxima, where bright fringes due to the two wavelengths coincide.

Assertion : Resolving power of a telescope depends only on wavelength.

Reason : This is proportional to square of wavelength.

For what distance is ray optics a good approximation when the aperture is $3 \mathrm{~mm}$ wide and wavelength is $500 \mathrm{~nm}?$