Coherent Sources of Light and interference of Light Constructive, Distractive
WAVE OPTICS

283275 Light of wavelength \(\lambda\) from a point source falls on a small circular obstacle of diameter \(d\). Dark and bright circular rings around a central bright spot are formed on a screen beyond the obstacle. The distance between the screen and obstacle is D. Then the condition for the formation of rings is

1 \(\sqrt{\lambda}=\frac{\mathrm{d}}{4 \mathrm{D}}\)
2 \(\lambda=\frac{\mathrm{d}^2}{4 \mathrm{D}}\)
3 \(\mathrm{d}=\frac{\lambda^2}{\mathrm{D}}\)
4 \(\lambda=\frac{\mathrm{D}}{4}\)
WAVE OPTICS

283278 A narrow slit of width \(2 \mathrm{~mm}\) is illuminated by monochromatic light of wavelength \(500 \mathrm{~nm}\). The distance between the first minima on either side on a screen at a distance of \(1 \mathrm{~m}\) is

1 \(5 \mathrm{~mm}\)
2 \(0.5 \mathrm{~mm}\)
3 \(1 \mathrm{~mm}\)
4 \(10 \mathrm{~mm}\)
5 \(2.5 \mathrm{~mm}\)
WAVE OPTICS

283279 For Young's double slit experiment, two statements are given below:
Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is false but Statement II is true.
2 Both Statement I and Statement II are true.
3 Both Statement I and Statement II are false.
4 Statement I is true but Statement II is false.
WAVE OPTICS

283294 In young's double slit experiment, the fringe width is \(12 \mathrm{~mm}\). If the entire arrangement is placed in water of refractive index \(\frac{4}{3}\), then the fringe width becomes (in \(\mathrm{mm}\) )

1 16
2 9
3 48
4 12
WAVE OPTICS

283275 Light of wavelength \(\lambda\) from a point source falls on a small circular obstacle of diameter \(d\). Dark and bright circular rings around a central bright spot are formed on a screen beyond the obstacle. The distance between the screen and obstacle is D. Then the condition for the formation of rings is

1 \(\sqrt{\lambda}=\frac{\mathrm{d}}{4 \mathrm{D}}\)
2 \(\lambda=\frac{\mathrm{d}^2}{4 \mathrm{D}}\)
3 \(\mathrm{d}=\frac{\lambda^2}{\mathrm{D}}\)
4 \(\lambda=\frac{\mathrm{D}}{4}\)
WAVE OPTICS

283278 A narrow slit of width \(2 \mathrm{~mm}\) is illuminated by monochromatic light of wavelength \(500 \mathrm{~nm}\). The distance between the first minima on either side on a screen at a distance of \(1 \mathrm{~m}\) is

1 \(5 \mathrm{~mm}\)
2 \(0.5 \mathrm{~mm}\)
3 \(1 \mathrm{~mm}\)
4 \(10 \mathrm{~mm}\)
5 \(2.5 \mathrm{~mm}\)
WAVE OPTICS

283279 For Young's double slit experiment, two statements are given below:
Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is false but Statement II is true.
2 Both Statement I and Statement II are true.
3 Both Statement I and Statement II are false.
4 Statement I is true but Statement II is false.
WAVE OPTICS

283294 In young's double slit experiment, the fringe width is \(12 \mathrm{~mm}\). If the entire arrangement is placed in water of refractive index \(\frac{4}{3}\), then the fringe width becomes (in \(\mathrm{mm}\) )

1 16
2 9
3 48
4 12
WAVE OPTICS

283275 Light of wavelength \(\lambda\) from a point source falls on a small circular obstacle of diameter \(d\). Dark and bright circular rings around a central bright spot are formed on a screen beyond the obstacle. The distance between the screen and obstacle is D. Then the condition for the formation of rings is

1 \(\sqrt{\lambda}=\frac{\mathrm{d}}{4 \mathrm{D}}\)
2 \(\lambda=\frac{\mathrm{d}^2}{4 \mathrm{D}}\)
3 \(\mathrm{d}=\frac{\lambda^2}{\mathrm{D}}\)
4 \(\lambda=\frac{\mathrm{D}}{4}\)
WAVE OPTICS

283278 A narrow slit of width \(2 \mathrm{~mm}\) is illuminated by monochromatic light of wavelength \(500 \mathrm{~nm}\). The distance between the first minima on either side on a screen at a distance of \(1 \mathrm{~m}\) is

1 \(5 \mathrm{~mm}\)
2 \(0.5 \mathrm{~mm}\)
3 \(1 \mathrm{~mm}\)
4 \(10 \mathrm{~mm}\)
5 \(2.5 \mathrm{~mm}\)
WAVE OPTICS

283279 For Young's double slit experiment, two statements are given below:
Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is false but Statement II is true.
2 Both Statement I and Statement II are true.
3 Both Statement I and Statement II are false.
4 Statement I is true but Statement II is false.
WAVE OPTICS

283294 In young's double slit experiment, the fringe width is \(12 \mathrm{~mm}\). If the entire arrangement is placed in water of refractive index \(\frac{4}{3}\), then the fringe width becomes (in \(\mathrm{mm}\) )

1 16
2 9
3 48
4 12
WAVE OPTICS

283275 Light of wavelength \(\lambda\) from a point source falls on a small circular obstacle of diameter \(d\). Dark and bright circular rings around a central bright spot are formed on a screen beyond the obstacle. The distance between the screen and obstacle is D. Then the condition for the formation of rings is

1 \(\sqrt{\lambda}=\frac{\mathrm{d}}{4 \mathrm{D}}\)
2 \(\lambda=\frac{\mathrm{d}^2}{4 \mathrm{D}}\)
3 \(\mathrm{d}=\frac{\lambda^2}{\mathrm{D}}\)
4 \(\lambda=\frac{\mathrm{D}}{4}\)
WAVE OPTICS

283278 A narrow slit of width \(2 \mathrm{~mm}\) is illuminated by monochromatic light of wavelength \(500 \mathrm{~nm}\). The distance between the first minima on either side on a screen at a distance of \(1 \mathrm{~m}\) is

1 \(5 \mathrm{~mm}\)
2 \(0.5 \mathrm{~mm}\)
3 \(1 \mathrm{~mm}\)
4 \(10 \mathrm{~mm}\)
5 \(2.5 \mathrm{~mm}\)
WAVE OPTICS

283279 For Young's double slit experiment, two statements are given below:
Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant.
Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases.
In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is false but Statement II is true.
2 Both Statement I and Statement II are true.
3 Both Statement I and Statement II are false.
4 Statement I is true but Statement II is false.
WAVE OPTICS

283294 In young's double slit experiment, the fringe width is \(12 \mathrm{~mm}\). If the entire arrangement is placed in water of refractive index \(\frac{4}{3}\), then the fringe width becomes (in \(\mathrm{mm}\) )

1 16
2 9
3 48
4 12