283510
Light of wavelength \(589.3 \mathrm{~nm}\) is incident normally on a slit of width \(0.1 \mathrm{~mm}\). The angular width of the central diffraction maximum at a distance of \(1 \mathrm{~m}\) from the slit, is:
1 \(0.68^0\)
2 \(0.34^0\)
3 \(2.05^0\)
4 non of these
Explanation:
: Given that, \(\lambda=589.3 \mathrm{~nm}=589.3 \times 10^{-9} \mathrm{~m}\) \(\mathrm{~d}=0.01 \mathrm{~mm}=0.1 \times 10^{-3} \mathrm{~m}\) Angular width of central maxima, \(\frac{2 \lambda}{\mathrm{d}} =\frac{2 \times 589.3 \times 10^{-9}}{0.1 \times 10^{-3}} \text { in } \mathrm{rad}\) \(=0.011786 \mathrm{rad} .\) \(=0.01178 \times \frac{180}{\pi}=0.68^{\circ}\)
AIIMS-2000
WAVE OPTICS
283511
Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is \(30^{\circ}\) to the vertical. What is the orientation and intensity of the transmitted light?
1 Plane polarized at \(60^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{4}\)
2 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{3 \mathrm{I}_0}{8}\)
3 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{2}\)
4 No light passes
Explanation:
: We know that, The first polaroid eliminator half the light so the intensity is reduced by half i.e. \(I_1=\frac{I_0}{2}\) The light reaching the second polaroid is vertically polarised and so its intensity is reduced to. \(\mathrm{I}_2=\mathrm{I}_1\left(\cos 30^{\circ}\right)^2=\mathrm{I}_1 \times \frac{3}{4}\) Putting the value of \(I_1\) from equation (i) in equation (ii), we get - \(\mathrm{I}_2=\frac{3 \mathrm{I}_0}{8}\)
BCECE-2016
WAVE OPTICS
283502
Assertion: At the first glance, the top surface of the Morpho butterfly's wing appears a beautiful blue- green. If the wind moves the colour changes. Reason: Different pigments in the wing reflect light at different angles.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 \(\mathrm{f}\) the Assertion is incorrect but the Reason is correct.
Explanation:
: When wind moves the colour of the wings changes. The visible colour of the wings is different from its original colour due to interference of light. Interference occurs between incident ray and reflected ray. Due to wind the reflectivity of the upper surface of the wind changes (as it is covered by tiny hairs) which changes the reflected wave. The resultant colour due to interference also changes. This is the principle behind the change of colour of winds of Morpho Butterfly. So, the assertion is correct but reason is incorrect.
AIIMS-2004
WAVE OPTICS
283503
Assertion: Coloured spectrum is seen when we look through a muslin cloth. Reason: It is due to the diffraction of white light on passing through fine slits
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: Porous muslin cloth has holes comparable to the wavelength of light falling on it. So, it get diffracted there forming fringes of different colours. We see it as colour spectrum.
AIIMS-2002
WAVE OPTICS
283504
Assertion: When tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of the shadow of the obstacle. Reason: Destructive interference occurs at the centre of the shadow.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: A bright spot is found at the centre of circle fringe patterns formed due to diffraction of light at the edge of circular obstacles. This bright spot is due to constructive interference there by secondary wavelets.
283510
Light of wavelength \(589.3 \mathrm{~nm}\) is incident normally on a slit of width \(0.1 \mathrm{~mm}\). The angular width of the central diffraction maximum at a distance of \(1 \mathrm{~m}\) from the slit, is:
1 \(0.68^0\)
2 \(0.34^0\)
3 \(2.05^0\)
4 non of these
Explanation:
: Given that, \(\lambda=589.3 \mathrm{~nm}=589.3 \times 10^{-9} \mathrm{~m}\) \(\mathrm{~d}=0.01 \mathrm{~mm}=0.1 \times 10^{-3} \mathrm{~m}\) Angular width of central maxima, \(\frac{2 \lambda}{\mathrm{d}} =\frac{2 \times 589.3 \times 10^{-9}}{0.1 \times 10^{-3}} \text { in } \mathrm{rad}\) \(=0.011786 \mathrm{rad} .\) \(=0.01178 \times \frac{180}{\pi}=0.68^{\circ}\)
AIIMS-2000
WAVE OPTICS
283511
Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is \(30^{\circ}\) to the vertical. What is the orientation and intensity of the transmitted light?
1 Plane polarized at \(60^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{4}\)
2 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{3 \mathrm{I}_0}{8}\)
3 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{2}\)
4 No light passes
Explanation:
: We know that, The first polaroid eliminator half the light so the intensity is reduced by half i.e. \(I_1=\frac{I_0}{2}\) The light reaching the second polaroid is vertically polarised and so its intensity is reduced to. \(\mathrm{I}_2=\mathrm{I}_1\left(\cos 30^{\circ}\right)^2=\mathrm{I}_1 \times \frac{3}{4}\) Putting the value of \(I_1\) from equation (i) in equation (ii), we get - \(\mathrm{I}_2=\frac{3 \mathrm{I}_0}{8}\)
BCECE-2016
WAVE OPTICS
283502
Assertion: At the first glance, the top surface of the Morpho butterfly's wing appears a beautiful blue- green. If the wind moves the colour changes. Reason: Different pigments in the wing reflect light at different angles.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 \(\mathrm{f}\) the Assertion is incorrect but the Reason is correct.
Explanation:
: When wind moves the colour of the wings changes. The visible colour of the wings is different from its original colour due to interference of light. Interference occurs between incident ray and reflected ray. Due to wind the reflectivity of the upper surface of the wind changes (as it is covered by tiny hairs) which changes the reflected wave. The resultant colour due to interference also changes. This is the principle behind the change of colour of winds of Morpho Butterfly. So, the assertion is correct but reason is incorrect.
AIIMS-2004
WAVE OPTICS
283503
Assertion: Coloured spectrum is seen when we look through a muslin cloth. Reason: It is due to the diffraction of white light on passing through fine slits
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: Porous muslin cloth has holes comparable to the wavelength of light falling on it. So, it get diffracted there forming fringes of different colours. We see it as colour spectrum.
AIIMS-2002
WAVE OPTICS
283504
Assertion: When tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of the shadow of the obstacle. Reason: Destructive interference occurs at the centre of the shadow.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: A bright spot is found at the centre of circle fringe patterns formed due to diffraction of light at the edge of circular obstacles. This bright spot is due to constructive interference there by secondary wavelets.
283510
Light of wavelength \(589.3 \mathrm{~nm}\) is incident normally on a slit of width \(0.1 \mathrm{~mm}\). The angular width of the central diffraction maximum at a distance of \(1 \mathrm{~m}\) from the slit, is:
1 \(0.68^0\)
2 \(0.34^0\)
3 \(2.05^0\)
4 non of these
Explanation:
: Given that, \(\lambda=589.3 \mathrm{~nm}=589.3 \times 10^{-9} \mathrm{~m}\) \(\mathrm{~d}=0.01 \mathrm{~mm}=0.1 \times 10^{-3} \mathrm{~m}\) Angular width of central maxima, \(\frac{2 \lambda}{\mathrm{d}} =\frac{2 \times 589.3 \times 10^{-9}}{0.1 \times 10^{-3}} \text { in } \mathrm{rad}\) \(=0.011786 \mathrm{rad} .\) \(=0.01178 \times \frac{180}{\pi}=0.68^{\circ}\)
AIIMS-2000
WAVE OPTICS
283511
Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is \(30^{\circ}\) to the vertical. What is the orientation and intensity of the transmitted light?
1 Plane polarized at \(60^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{4}\)
2 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{3 \mathrm{I}_0}{8}\)
3 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{2}\)
4 No light passes
Explanation:
: We know that, The first polaroid eliminator half the light so the intensity is reduced by half i.e. \(I_1=\frac{I_0}{2}\) The light reaching the second polaroid is vertically polarised and so its intensity is reduced to. \(\mathrm{I}_2=\mathrm{I}_1\left(\cos 30^{\circ}\right)^2=\mathrm{I}_1 \times \frac{3}{4}\) Putting the value of \(I_1\) from equation (i) in equation (ii), we get - \(\mathrm{I}_2=\frac{3 \mathrm{I}_0}{8}\)
BCECE-2016
WAVE OPTICS
283502
Assertion: At the first glance, the top surface of the Morpho butterfly's wing appears a beautiful blue- green. If the wind moves the colour changes. Reason: Different pigments in the wing reflect light at different angles.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 \(\mathrm{f}\) the Assertion is incorrect but the Reason is correct.
Explanation:
: When wind moves the colour of the wings changes. The visible colour of the wings is different from its original colour due to interference of light. Interference occurs between incident ray and reflected ray. Due to wind the reflectivity of the upper surface of the wind changes (as it is covered by tiny hairs) which changes the reflected wave. The resultant colour due to interference also changes. This is the principle behind the change of colour of winds of Morpho Butterfly. So, the assertion is correct but reason is incorrect.
AIIMS-2004
WAVE OPTICS
283503
Assertion: Coloured spectrum is seen when we look through a muslin cloth. Reason: It is due to the diffraction of white light on passing through fine slits
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: Porous muslin cloth has holes comparable to the wavelength of light falling on it. So, it get diffracted there forming fringes of different colours. We see it as colour spectrum.
AIIMS-2002
WAVE OPTICS
283504
Assertion: When tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of the shadow of the obstacle. Reason: Destructive interference occurs at the centre of the shadow.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: A bright spot is found at the centre of circle fringe patterns formed due to diffraction of light at the edge of circular obstacles. This bright spot is due to constructive interference there by secondary wavelets.
283510
Light of wavelength \(589.3 \mathrm{~nm}\) is incident normally on a slit of width \(0.1 \mathrm{~mm}\). The angular width of the central diffraction maximum at a distance of \(1 \mathrm{~m}\) from the slit, is:
1 \(0.68^0\)
2 \(0.34^0\)
3 \(2.05^0\)
4 non of these
Explanation:
: Given that, \(\lambda=589.3 \mathrm{~nm}=589.3 \times 10^{-9} \mathrm{~m}\) \(\mathrm{~d}=0.01 \mathrm{~mm}=0.1 \times 10^{-3} \mathrm{~m}\) Angular width of central maxima, \(\frac{2 \lambda}{\mathrm{d}} =\frac{2 \times 589.3 \times 10^{-9}}{0.1 \times 10^{-3}} \text { in } \mathrm{rad}\) \(=0.011786 \mathrm{rad} .\) \(=0.01178 \times \frac{180}{\pi}=0.68^{\circ}\)
AIIMS-2000
WAVE OPTICS
283511
Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is \(30^{\circ}\) to the vertical. What is the orientation and intensity of the transmitted light?
1 Plane polarized at \(60^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{4}\)
2 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{3 \mathrm{I}_0}{8}\)
3 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{2}\)
4 No light passes
Explanation:
: We know that, The first polaroid eliminator half the light so the intensity is reduced by half i.e. \(I_1=\frac{I_0}{2}\) The light reaching the second polaroid is vertically polarised and so its intensity is reduced to. \(\mathrm{I}_2=\mathrm{I}_1\left(\cos 30^{\circ}\right)^2=\mathrm{I}_1 \times \frac{3}{4}\) Putting the value of \(I_1\) from equation (i) in equation (ii), we get - \(\mathrm{I}_2=\frac{3 \mathrm{I}_0}{8}\)
BCECE-2016
WAVE OPTICS
283502
Assertion: At the first glance, the top surface of the Morpho butterfly's wing appears a beautiful blue- green. If the wind moves the colour changes. Reason: Different pigments in the wing reflect light at different angles.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 \(\mathrm{f}\) the Assertion is incorrect but the Reason is correct.
Explanation:
: When wind moves the colour of the wings changes. The visible colour of the wings is different from its original colour due to interference of light. Interference occurs between incident ray and reflected ray. Due to wind the reflectivity of the upper surface of the wind changes (as it is covered by tiny hairs) which changes the reflected wave. The resultant colour due to interference also changes. This is the principle behind the change of colour of winds of Morpho Butterfly. So, the assertion is correct but reason is incorrect.
AIIMS-2004
WAVE OPTICS
283503
Assertion: Coloured spectrum is seen when we look through a muslin cloth. Reason: It is due to the diffraction of white light on passing through fine slits
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: Porous muslin cloth has holes comparable to the wavelength of light falling on it. So, it get diffracted there forming fringes of different colours. We see it as colour spectrum.
AIIMS-2002
WAVE OPTICS
283504
Assertion: When tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of the shadow of the obstacle. Reason: Destructive interference occurs at the centre of the shadow.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: A bright spot is found at the centre of circle fringe patterns formed due to diffraction of light at the edge of circular obstacles. This bright spot is due to constructive interference there by secondary wavelets.
283510
Light of wavelength \(589.3 \mathrm{~nm}\) is incident normally on a slit of width \(0.1 \mathrm{~mm}\). The angular width of the central diffraction maximum at a distance of \(1 \mathrm{~m}\) from the slit, is:
1 \(0.68^0\)
2 \(0.34^0\)
3 \(2.05^0\)
4 non of these
Explanation:
: Given that, \(\lambda=589.3 \mathrm{~nm}=589.3 \times 10^{-9} \mathrm{~m}\) \(\mathrm{~d}=0.01 \mathrm{~mm}=0.1 \times 10^{-3} \mathrm{~m}\) Angular width of central maxima, \(\frac{2 \lambda}{\mathrm{d}} =\frac{2 \times 589.3 \times 10^{-9}}{0.1 \times 10^{-3}} \text { in } \mathrm{rad}\) \(=0.011786 \mathrm{rad} .\) \(=0.01178 \times \frac{180}{\pi}=0.68^{\circ}\)
AIIMS-2000
WAVE OPTICS
283511
Unpolarized light passes through two polaroids, the axis of one is vertical and that of the other is \(30^{\circ}\) to the vertical. What is the orientation and intensity of the transmitted light?
1 Plane polarized at \(60^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{4}\)
2 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{3 \mathrm{I}_0}{8}\)
3 Plane polarized at \(30^{\circ}\) to the vertical and having intensity of \(\frac{\mathrm{I}_0}{2}\)
4 No light passes
Explanation:
: We know that, The first polaroid eliminator half the light so the intensity is reduced by half i.e. \(I_1=\frac{I_0}{2}\) The light reaching the second polaroid is vertically polarised and so its intensity is reduced to. \(\mathrm{I}_2=\mathrm{I}_1\left(\cos 30^{\circ}\right)^2=\mathrm{I}_1 \times \frac{3}{4}\) Putting the value of \(I_1\) from equation (i) in equation (ii), we get - \(\mathrm{I}_2=\frac{3 \mathrm{I}_0}{8}\)
BCECE-2016
WAVE OPTICS
283502
Assertion: At the first glance, the top surface of the Morpho butterfly's wing appears a beautiful blue- green. If the wind moves the colour changes. Reason: Different pigments in the wing reflect light at different angles.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 \(\mathrm{f}\) the Assertion is incorrect but the Reason is correct.
Explanation:
: When wind moves the colour of the wings changes. The visible colour of the wings is different from its original colour due to interference of light. Interference occurs between incident ray and reflected ray. Due to wind the reflectivity of the upper surface of the wind changes (as it is covered by tiny hairs) which changes the reflected wave. The resultant colour due to interference also changes. This is the principle behind the change of colour of winds of Morpho Butterfly. So, the assertion is correct but reason is incorrect.
AIIMS-2004
WAVE OPTICS
283503
Assertion: Coloured spectrum is seen when we look through a muslin cloth. Reason: It is due to the diffraction of white light on passing through fine slits
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: Porous muslin cloth has holes comparable to the wavelength of light falling on it. So, it get diffracted there forming fringes of different colours. We see it as colour spectrum.
AIIMS-2002
WAVE OPTICS
283504
Assertion: When tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of the shadow of the obstacle. Reason: Destructive interference occurs at the centre of the shadow.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason in not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
: A bright spot is found at the centre of circle fringe patterns formed due to diffraction of light at the edge of circular obstacles. This bright spot is due to constructive interference there by secondary wavelets.
