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1929 quizzes
A Young's double-slit set-up is lit by white light that contains every wavelength between 400 nm and 700 nm. A detector at a point P on the screen finds that the waves from the two slits arrive with a path difference of 1350 nm. Exactly one wavelength of this white light is missing from the light that the detector receives at P, because the waves cancel there. Which wavelength is it? New
High School (11–12) · Wave Optics
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Assertion (A): In a single-slit diffraction experiment with monochromatic light, the central bright band on the screen becomes narrower when the slit is made narrower, with the source and the screen left where they were. Reason (R): The first dark band of the pattern lies at an angle θ from the axis given by sinθ = λ/a, where λ is the wavelength of the light and a is the width of the slit. New
High School (11–12) · Wave Optics
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
In a Young's double-slit experiment, light of wavelength 500 nm falls on slits 1.0 mm apart, with the screen 1.0 m away. Match each quantity with its value. List-I (Quantity) A. Fringe width in air B. Distance of the third bright fringe from the centre, in air C. Distance of the third dark fringe from the centre, in air D. Fringe width with the whole set-up in a liquid of index 1.25 List-II (Value) I. 0.40 mm II. 0.50 mm III. 1.25 mm IV. 1.5 mm New
High School (11–12) · Wave Optics
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Two statements about interference of light from two narrow slits, lit by the same coherent monochromatic source, are given below. Statement I: With the screen where it is, moving the two slits closer together makes the fringes on the screen narrower. Statement II: At the dark fringes the energy of the two waves is destroyed, so the total energy reaching the screen is less than the sum of the two separate beams. New
High School (11–12) · Wave Optics
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
Six statements about wavefronts and interference are given below. (i) Light from two sodium lamps gives a steady interference pattern. (ii) Coherent waves of intensity I₀ each give 4I₀ in phase. (iii) A point source at a lens focus gives plane wavefronts. (iv) A small part of a distant spherical wavefront is nearly plane. (v) A wavefront joins points that oscillate with a phase difference of π. (vi) A reflected plane wave obeys the law of reflection. How many of the statements above are correct? New
High School (11–12) · Wave Optics
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
Unpolarised light of intensity I₀ falls on three polaroids P1, P2 and P3 in a row, all facing the beam as the figure shows. A polaroid passes only light polarised along its transmission axis. The transmission axes of P1, P2 and P3 make angles of 0°, 30° and 90° with the vertical. What is the intensity of the light that comes out of P3? New
High School (11–12) · Wave Optics
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Assertion (A): A narrow beam of light of a single colour passes from air into a glass block. The frequency of the light in the glass is the same as its frequency in air. Reason (R): The speed of the light in the glass is smaller than its speed in air. New
High School (11–12) · Wave Optics
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
The figure shows how the angle of deviation δ changes with the angle of incidence i for a glass prism of refracting angle 60°. The point P marks a ray with i = 40° and δ = 36°. In this graph a second ray also has a deviation of 36°, but it enters at a different angle of incidence. What is that angle of incidence? New
High School (11–12) · Prisms and Dispersion of Light
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Advanced
A thin parallel beam of light passes through an equilateral glass prism of refractive index 1.50, which is first in air and then dipped in water of refractive index 1.33. Two statements about the prism are given below. Statement I: When the prism is set for minimum deviation, the ray inside the glass runs parallel to the base of the prism. Statement II: The minimum deviation of the same prism, dipped in water, is larger than its minimum deviation in air. New
High School (11–12) · Prisms and Dispersion of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
A student has a thin double convex lens of refractive index 1.50. Its focal length in air is 15 cm. She holds it completely under a transparent liquid of refractive index 1.80 and sends a narrow beam of parallel rays from a distant lamp along its axis. What is the focal length of the lens in the liquid, and what does the lens do to the beam? New
High School (11–12) · Lenses and Optical Instruments
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Assertion (A): A small air bubble inside a glass block has the shape of a double convex lens. A narrow parallel beam of light that travels through the block and falls on the bubble along its axis spreads out after passing through it. Reason (R): A lens of a given shape bends light towards its axis only if its material has a larger refractive index than its surroundings. If the material has a smaller index, the same shape bends light away from the axis. New
High School (11–12) · Lenses and Optical Instruments
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
Two thin lenses are placed in contact on a common axis. Four such pairs are listed in List-I, with the focal length of each lens. Match each pair with the power of the combination in List-II. A dioptre, D, is one per metre. List-I (Focal lengths of the two lenses) A. +20 cm and +20 cm B. +25 cm and -50 cm C. -10 cm and +40 cm D. +50 cm and -25 cm List-II (Power of the combination) I. +2.0 D II. -2.0 D III. -7.5 D IV. +10 D New
High School (11–12) · Lenses and Optical Instruments
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Six statements about optical instruments are given below. (i) In normal adjustment, a telescope forms its final image at infinity. (ii) In normal adjustment, a refracting telescope has its lenses fo + fe apart. (iii) A longer focus eyepiece raises the magnifying power in normal adjustment. (iv) A compound microscope has the same magnifying power whatever the lens separation. (v) A mirror objective in a reflecting telescope suffers from chromatic aberration. (vi) A Cassegrain telescope has a convex primary mirror. How many of the statements above are correct? New
High School (11–12) · Lenses and Optical Instruments
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
The figure shows a parallel beam of width 6.0 cm that falls on a convex lens L1. A second thin lens L2, placed 20 cm beyond L1, sends the light out as a parallel beam of width 2.0 cm. The second lens stands in front of the point where L1 would bring the light to a focus. What are the focal lengths of L1 and L2, in that order? New
High School (11–12) · Lenses and Optical Instruments
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Advanced
A ray of light travels between glass of refractive index 1.50 and water of refractive index 1.33. Two statements about total internal reflection at their plane boundary are given below. Statement I: A ray in the glass that meets the boundary at an angle of incidence of 50° is totally reflected. Statement II: A ray in the water that meets the glass at any angle of incidence is never totally reflected. New
High School (11–12) · Refraction of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
The figure shows a tank holding water of depth 20 cm and refractive index 4/3, above a horizontal plane mirror on the bottom. A pin hangs in the water with its tip 8.0 cm below the water surface. An observer looks vertically down into the water, close to the pin, and sees the pin itself and also a second image of it, formed by the mirror. How far below the water surface does the observer see this second image? New
High School (11–12) · Refraction of Light
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Advanced
Six statements about total internal reflection are given below. (i) A diamond sparkles because its critical angle is small. (ii) In an optical fibre, the cladding is denser than the core. (iii) A fibre guides light by total reflection at its core. (iv) A right-angled isosceles glass prism (n = 1.50) turns a ray, entering normally, through 90°. (v) Light going from air into glass can be totally reflected. (vi) Glass has a smaller critical angle in water than in air. How many of the statements above are correct? New
High School (11–12) · Refraction of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
In an experiment with a spherical mirror, a student measures the object distance u and the image distance v for several real objects. She follows the NCERT sign convention, with distances measured from the pole and positive along the direction of the incident light. She plots 1/v against 1/u, both in cm⁻¹, and gets the straight line through the three points in the graph shown in the figure. The line does not reach either axis. What kind of mirror is it, and what is its focal length? New
High School (11–12) · Reflection of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
A concave mirror has a focal length of 20 cm. A small object is placed on its axis at the four distances in List-I. Match each with the image it forms, described in List-II. List-I (Object distance from the mirror) A. 10 cm B. 30 cm C. 40 cm D. 60 cm List-II (Image formed) I. Real, inverted, half as large, 30 cm in front II. Real, inverted, twice as large, 60 cm in front III. Real, inverted, same size, 40 cm in front IV. Virtual, erect, twice as large, 20 cm behind New
High School (11–12) · Reflection of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
Assertion (A): A polished concave mirror has a focal length of 15 cm in air. When the same mirror is placed in a tank of clear water, facing a narrow beam of light that travels through the water, its focal length is still 15 cm. Reason (R): The mirror formula has only distances in it, and light travels at the same speed in water as in air, so nothing in the formula changes when the mirror is put into water. New
High School (11–12) · Reflection of Light
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
The figure shows the binding energy per nucleon of six nuclei against their mass numbers. The values are read straight from the figure. The total binding energy of a nucleus is its binding energy per nucleon times its mass number. Which of the following nuclear changes is described correctly, using only these values and no others? New
High School (11–12) · Nuclei and Radioactivity
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Hard
Four statements about nuclei follow. (i) The density of nuclear matter is nearly the same for all nuclei. (ii) A nucleus of mass number 64 has twice the radius of one of mass number 16. (iii) A proton-proton nuclear force is much stronger than a proton-neutron one. (iv) The force between nucleons is repulsive below about 0.8 fm and attractive beyond. How many of the statements above are correct? New
High School (11–12) · Nuclei and Radioactivity
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Advanced
Two radioactive samples, X and Y, decay independently into stable nuclei. At time zero the activity of X is 4 times that of Y. The half-life of X is 2.0 h and that of Y is 6.0 h. After some time t the two activities become equal. What is the ratio of the number of undecayed nuclei of X to that of Y at that time t? New
High School (11–12) · Nuclei and Radioactivity
JEE MainNEETAEEE (Amrita)+22
StemPy LabStemPy Lab
Advanced
Two statements about beta decay are given below. Statement I: In the beta minus decay of a nuclide, every electron is emitted with the same kinetic energy, because the daughter nucleus takes up the rest of the energy released. Statement II: The antineutrino emitted in beta minus decay carries away electric charge, so the daughter nucleus has one unit more charge than the parent. New
High School (11–12) · Nuclei and Radioactivity
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
Assertion (A): A nucleus of mass number 238, at rest, emits an alpha particle. The daughter nucleus takes up most of the energy released in the decay. Reason (R): The alpha particle and the daughter nucleus have momenta of equal magnitude, so the lighter of the two has the larger kinetic energy. New
High School (11–12) · Nuclei and Radioactivity
NEETAEEE (Amrita)AMUEEE+21
StemPy LabStemPy Lab
Hard
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