MCQOPTIONS
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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 11651. |
What will be the height of image when an object of 2 mm is placed on the axis of a convex mirror at a distance 20 cm of radius of curvature 40 cm [Orissa PMT 2004] |
| A. | 20 mm |
| B. | 10 mm |
| C. | 6 mm |
| D. | 1 mm |
| Answer» E. | |
| 11652. |
Convergence of concave mirror can be decreased by dipping in [AFMC 2003] |
| A. | Water |
| B. | Oil |
| C. | Both |
| D. | None of these |
| Answer» E. | |
| 11653. |
An object of length 6 cm is placed on the principle axis of a concave mirror of focal length f at a distance of 4f. The length of the image will be [MP PET 2003] |
| A. | 2 cm |
| B. | 12 cm |
| C. | 4 cm |
| D. | 1.2 cm |
| Answer» B. 12 cm | |
| 11654. |
An object \[5cm\] tall is placed \[1m\] from a concave spherical mirror which has a radius of curvature of \[20cm\] The size of the image is [MP PET 1993] |
| A. | \[0.11cm\] |
| B. | \[0.50cm\] |
| C. | \[0.55cm\] |
| D. | \[0.60cm\] |
| Answer» D. \[0.60cm\] | |
| 11655. |
Which of the following could not produce a virtual image |
| A. | Plane mirror |
| B. | Convex mirror |
| C. | Concave mirror |
| D. | All the above can produce a virtual image |
| Answer» E. | |
| 11656. |
A diminished virtual image can be formed only in [MP PMT 2002] |
| A. | Plane mirror |
| B. | A concave mirror |
| C. | A convex mirror |
| D. | Concave-parabolic mirror |
| Answer» D. Concave-parabolic mirror | |
| 11657. |
The focal length of the objective and the eyepiece of a telescope are 50 cm and 5 cm respectively. If the telescope is focused for distinct vision on a scale distant 2m from its objective, then its magnifying power will be: |
| A. | -4 |
| B. | -8 |
| C. | 8 |
| D. | -2 |
| Answer» E. | |
| 11658. |
The focal lengths of the objective and the eye piece of a compound microscope are 2.0 cm and 3.0 cm, respectively. The distance between the objective and the eye piece is 15.0 cm. The final image formed by the eye piece is at infinity. The two lenses are thin. The distance in cm of the object and the image produced by the objective, measured from the objective lens, are respectively |
| A. | 2.4 and 12.0 |
| B. | 2.4 and 15.0 |
| C. | 2.0 and 12.0 |
| D. | 2.0 and 3.0 |
| Answer» B. 2.4 and 15.0 | |
| 11659. |
An isosceles prism of angle \[120{}^\circ \] has a refractive index 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite faces |
| A. | are parallel to each other |
| B. | are diverging |
| C. | make an angle \[2\left[ si{{n}^{-1\text{ }}}\left( 0.72 \right)-30{}^\circ \right]\] with each other |
| D. | make an angle \[2\text{ }si{{n}^{-1}}(0.72)\] with each other |
| Answer» D. make an angle \[2\text{ }si{{n}^{-1}}(0.72)\] with each other | |
| 11660. |
The following data are given for a crown glass prism; refractive index for violet light \[{{n}_{v}}=1.521\] refractive index for red light \[{{n}_{r}}=1.510\] refractive index for yellow light \[{{n}_{y}}=1.515\] Then the dispersive power of a parallel glass slab made of the same material is |
| A. | 0.01 |
| B. | 0.03 |
| C. | 0 |
| D. | 0.02 |
| Answer» E. | |
| 11661. |
A equilateral prism is made of a transparent material of refractive index\[\sqrt{2}\]. A ray of light AB is incident at \[45{}^\circ \]as shown. The net deviation in the path of ray when it comes out of prism is |
| A. | \[135{}^\circ \] |
| B. | \[120{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[150{}^\circ \] |
| Answer» E. | |
| 11662. |
ACB is right - angle prism with other angles as \[60{}^\circ \] and\[30{}^\circ \]. Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid |
| A. | 1.4 |
| B. | 1.3 |
| C. | 1.2 |
| D. | 1.6 |
| Answer» C. 1.2 | |
| 11663. |
The size of the image of an object, which is at infinity, as formed by a convex lens of focal length 30 cm is 2 cm. If a concave lens of focal length 20 cm is placed between the convex lens and the image at a distance of 26 cm from the convex lens, calculate the new size of the image. |
| A. | 1.25cm |
| B. | 2.5 cm |
| C. | 1.05cm |
| D. | 2cm |
| Answer» C. 1.05cm | |
| 11664. |
A convex lens is in contact with concave lens. The magnitude of the ratio of their focal length is 2/3. Their equivalent focal length is 30 cm. What are their individual focal lengths? |
| A. | -15, 10 |
| B. | -10, 15 |
| C. | 75, 50 |
| D. | -75, 50 |
| Answer» B. -10, 15 | |
| 11665. |
A small straight rod is placed at an inclination with the optical axis of a thin lens as shown in the figure. The base of the rod is on the optical axis and at a distance 2f(f= focal length of the lens) from the lens. The image of the rod would be |
| A. | a straight line leaning towards the lens |
| B. | a straight line leaning away from the lens |
| C. | a curve leaning towards the lens |
| D. | a curve leaning away from the lens |
| Answer» D. a curve leaning away from the lens | |
| 11666. |
A glass sphere, refractive index 1.5 and radius 10 cm, has a spherical cavity of radius 5 cm concentric with it. A narrow beam of parallel light is directed into the sphere. Find the final image and its nature. |
| A. | 25 cm left of \[{{S}_{4}},\]virtual |
| B. | 25 cm right of \[{{S}_{4}},\]real |
| C. | 15 cm left of \[{{S}_{4}},\]virtual |
| D. | 20 cm right of \[{{S}_{4}},\]virtual |
| Answer» B. 25 cm right of \[{{S}_{4}},\]real | |
| 11667. |
A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and a plane mirror are arranged as shown. For an object kept at a distance of 60 cm from the convex lens, the final image, formed by the combination is a real image, at a distance of: |
| A. | 60 cm from the convex lens |
| B. | 60 cm from the concave lens |
| C. | 70 cm from the convex lens |
| D. | 70 cm from the concave lens |
| Answer» B. 60 cm from the concave lens | |
| 11668. |
In a thick glass slab of thickness i and refractive index \[{{n}_{1}}\]a cuboidal cavity of thickness m is carved as shown in the figure and is filled with liquid of RJ. \[~{{n}_{2}}({{n}_{1}}>\text{ }{{n}_{2}})\]. The ratio of \[\ell /m\], so that shift produced by this slab is zero when an observer A observes an object B with paraxial rays is |
| A. | \[\frac{{{n}_{1}}-{{n}_{2}}}{{{n}_{2}}-1}\] |
| B. | \[\frac{{{n}_{1}}-{{n}_{2}}}{{{n}_{2}}\left( {{n}_{1}}-1 \right)}\] |
| C. | \[\frac{{{n}_{1}}-{{n}_{2}}}{{{n}_{1}}-1}\] |
| D. | \[\frac{{{n}_{1}}-{{n}_{2}}}{{{n}_{1}}\left( {{n}_{2}}-1 \right)}\] |
| Answer» C. \[\frac{{{n}_{1}}-{{n}_{2}}}{{{n}_{1}}-1}\] | |
| 11669. |
An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is a filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is |
| A. | \[\frac{5}{2}\] |
| B. | \[\sqrt{\frac{5}{2}}\] |
| C. | \[\sqrt{\frac{3}{2}}\] |
| D. | \[\frac{3}{2}\] |
| Answer» C. \[\sqrt{\frac{3}{2}}\] | |
| 11670. |
A container is filled with water \[\left( \mu =1.33 \right)\] up to a height of 33.25 cm. A concave mirror is placed 15 cm above the water level and the image of an object placed at the bottom is formed 25 cm below the water level. Focal length of the mirror is |
| A. | 15 cm |
| B. | 20cm |
| C. | -18.31cm |
| D. | 10cm |
| Answer» D. 10cm | |
| 11671. |
A point object is placed at the center of a glass sphere of radius 6 cm and refractive index 1.5. The distance of virtual image from the surface is |
| A. | 6 cm |
| B. | 4 cm |
| C. | 12 cm |
| D. | 9 cm |
| Answer» B. 4 cm | |
| 11672. |
A light beam is travelling from Region I to IV (figure). The refractive index in regionals I, II, III and IV are \[{{n}_{0}},\frac{{{n}_{0}}}{2},\frac{{{n}_{0}}}{6}\] and \[\frac{{{n}_{0}}}{8}\] respectively The angle of incidence 6 for which the beam just misses entering region IV is - |
| A. | \[si{{n}^{-1}}(3/4)\] |
| B. | \[si{{n}^{-1}}(1/8)\] |
| C. | \[si{{n}^{-1}}(1/4)~~\] |
| D. | \[si{{n}^{-1}}(1/3)\] |
| Answer» C. \[si{{n}^{-1}}(1/4)~~\] | |
| 11673. |
A point source of light B is placed at a distance L in front of the center of a mirror of width 'd' hung vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 1L from it as shown in fig. The greatest distance over which he can see the image of the light source in the mirror is |
| A. | d/2 |
| B. | d |
| C. | 2d |
| D. | 3d |
| Answer» E. | |
| 11674. |
A concave mirror is placed on a horizontal table, with its axis directed vertically upwards. Let O be the pole of the mirror and C its center of curvature. A point object is placed at C. It has a real image, also located at C. If the mirror is now filled with water, the image will be. |
| A. | real, and will remain at C. |
| B. | real, and located at a point between C and O. |
| C. | virtual, and located at a point between C and O |
| D. | real, and located at a point between C and O |
| Answer» E. | |
| 11675. |
A person walks at a velocity v in a straight line forming an angle a with the plane of a plane mirror. Determine the velocity \[{{v}_{rel}}\] at which he approaches his image, assuming that the object and its image are symmetric relative to the plane of the mirror. |
| A. | \[2v\,\text{sin}\,\alpha \] |
| B. | \[2v\cos \alpha \] |
| C. | \[v\sin \alpha \] |
| D. | \[v\cos \alpha \] |
| Answer» B. \[2v\cos \alpha \] | |
| 11676. |
A fish at a depth of 12 cm in water is viewed by an observer on the bank of a lake. To what height the image of the fish is raised. [MP PET 2005] |
| A. | 9 cm |
| B. | 12 cm |
| C. | 3.8 cm |
| D. | 3 cm |
| Answer» E. | |
| 11677. |
A glass slab of thickness 3 cm and refractive index 3/2 is placed on ink mark on a piece of paper. For a person looking at the mark at a distance 5.0 cm above it, the distance of the mark will appear to be [Kerala PMT 2005] |
| A. | 3.0 cm |
| B. | 4.0 cm |
| C. | 4.5 cm |
| D. | 5.0 cm |
| Answer» C. 4.5 cm | |
| 11678. |
A transparent cube of 15 cm edge contains a small air bubble. Its apparent depth when viewed through one face is 6 cm and when viewed through the opposite face is 4 cm. Then the refractive index of the material of the cube is [CPMT 2004; MP PMT 2005] |
| A. | 2 |
| B. | 2.5 |
| C. | 1.6 |
| D. | 1.5 |
| Answer» E. | |
| 11679. |
Which one of the following statements is correct [KCET 1994] |
| A. | In vacuum, the speed of light depends upon frequency |
| B. | In vacuum, the speed of light does not depend upon frequency |
| C. | In vacuum, the speed of light is independent of frequency and wavelength |
| D. | In vacuum, the speed of light depends upon wavelength |
| Answer» D. In vacuum, the speed of light depends upon wavelength | |
| 11680. |
Speed of light is maximum in [CPMT 1990; MP PMT 1994; AFMC 1996] |
| A. | Water |
| B. | Air |
| C. | Glass |
| D. | Diamond |
| Answer» C. Glass | |
| 11681. |
An astronaut in a spaceship see the outer space as [CPMT 1990, MP PMT 1991; JIPMER 1997] |
| A. | White |
| B. | Black |
| C. | Blue |
| D. | Red |
| Answer» C. Blue | |
| 11682. |
The frequency of a light ray is \[6\times {{10}^{14}}Hz.\]Its frequency when it propagates in a medium of refractive index 1.5, will be [MP PMT 2000; DPMT 2003; Pb PMT 2003; MH CET 2004] |
| A. | \[1.67\times {{10}^{14}}Hz\] |
| B. | \[9.10\times {{10}^{14}}Hz\] |
| C. | \[6\times {{10}^{14}}Hz\] |
| D. | \[4\times {{10}^{14}}Hz\] |
| Answer» D. \[4\times {{10}^{14}}Hz\] | |
| 11683. |
Velocity of light in a medium is \[1.5\times {{10}^{8}}m/s.\] Its refractive index will be [Pb. PET 2000] |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 2 |
| Answer» E. | |
| 11684. |
When light travels from glass to air, the incident angle is \[{{\theta }_{1}}\] and the refracted angle is \[{{\theta }_{2}}\]. The true relation is [Orissa PMT 2004] |
| A. | \[{{\theta }_{1}}={{\theta }_{2}}\] |
| B. | \[{{\theta }_{1}}<{{\theta }_{2}}\] |
| C. | \[{{\theta }_{1}}>{{\theta }_{2}}\] |
| D. | Not predictable |
| Answer» C. \[{{\theta }_{1}}>{{\theta }_{2}}\] | |
| 11685. |
Stars are twinkling due to [CPMT 1997] |
| A. | Diffraction |
| B. | Reflection |
| C. | Refraction |
| D. | Scattering |
| Answer» D. Scattering | |
| 11686. |
Velocity of light in glass whose refractive index with respect to air is 1.5 is\[2\times {{10}^{8}}m/s\] and in certain liquid the velocity of light found to be \[2.5\times {{10}^{8}}m/s\]. The refractive index of the liquid with respect to air is [CPMT 1978; MP PET/PMT 1988] |
| A. | 0.64 |
| B. | 0.8 |
| C. | 1.2 |
| D. | 1.44 |
| Answer» D. 1.44 | |
| 11687. |
A microscope is focussed on a coin lying at the bottom of a beaker. The microscope is now raised up by 1 cm. To what depth should the water be poured into the beaker so that coin is again in focus? (Refractive index of water is\[\frac{4}{3}\]) [BHU 2003] |
| A. | 1 cm |
| B. | \[\frac{4}{3}\] cm |
| C. | 3 cm |
| D. | 4 cm |
| Answer» E. | |
| 11688. |
A ray of light passes through four transparent media with refractive indices \[{{\mu }_{1}}.{{\mu }_{2}}{{\mu }_{3}},\text{ and}\,{{\mu }_{4}}\] as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have [IIT-JEE (Screening) 2001] |
| A. | \[{{\mu }_{1}}={{\mu }_{2}}\] |
| B. | \[{{\mu }_{2}}={{\mu }_{3}}\] |
| C. | \[{{\mu }_{3}}={{\mu }_{4}}\] |
| D. | \[{{\mu }_{4}}={{\mu }_{1}}\] |
| Answer» E. | |
| 11689. |
Each quarter of a vessel of depth H is filled with liquids of the refractive indices\[{{n}_{1}},{{n}_{2}},{{n}_{3}}\,\,and\,\,{{n}_{4}}\] from the bottom respectively. The apparent depth of the vessel when looked normally is [AMU (Engg.) 2000] |
| A. | \[\frac{H({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4}\] |
| B. | \[\frac{H\left( \frac{1}{{{n}_{1}}}+\frac{1}{{{n}_{2}}}+\frac{1}{{{n}_{3}}}+\frac{1}{{{n}_{4}}} \right)}{4}\] |
| C. | \[\frac{({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4H}\] |
| D. | \[\frac{H\left( \frac{1}{{{n}_{1}}}+\frac{1}{{{n}_{2}}}+\frac{1}{{{n}_{3}}}+\frac{1}{{{n}_{4}}} \right)}{2}\] |
| Answer» C. \[\frac{({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4H}\] | |
| 11690. |
A tank is filled with benzene to a height of 120 mm. The apparent depth of a needle lying at a bottom of the tank is measured by a microscope to be 80 mm. The refractive index of benzene is [Pb. PMT 1999] |
| A. | 1.5 |
| B. | 2.5 |
| C. | 3.5 |
| D. | 4.5 |
| Answer» C. 3.5 | |
| 11691. |
Ray optics is valid, when characteristic dimensions are [CBSE PMT 1994; CPMT 2001] |
| A. | Of the same order as the wavelength of light |
| B. | Much smaller than the wavelength of light |
| C. | Of the order of one millimetre |
| D. | Much larger than the wavelength of light |
| Answer» E. | |
| 11692. |
Time taken by the sunlight to pass through a window of thickness 4 mm whose refractive index is 1.5 is [CBSE PMT 1993] |
| A. | \[2\times {{10}^{-8}}\] sec |
| B. | \[2\times {{10}^{8}}\] sec |
| C. | \[2\times {{10}^{-11}}\] sec |
| D. | \[2\times {{10}^{11}}\] sec |
| Answer» D. \[2\times {{10}^{11}}\] sec | |
| 11693. |
The speed of light in air is \[3\times {{10}^{8}}\,\,m/s\]. What will be its speed in diamond whose refractive index is 2.4 [KCET 1993] |
| A. | \[3\times {{10}^{8}}\] \[m/s\] |
| B. | 332 \[m/s\] |
| C. | \[1.25\times {{10}^{8}}\] m/s |
| D. | \[7.2\times {{10}^{8}}\] \[m/s\] |
| Answer» D. \[7.2\times {{10}^{8}}\] \[m/s\] | |
| 11694. |
The refractive index of a piece of transparent quartz is the greatest for [MP PET 1985, 94] |
| A. | Red light |
| B. | Violet light |
| C. | Green light |
| D. | Yellow light |
| Answer» C. Green light | |
| 11695. |
The ratio of the refractive index of red light to blue light in air is [CPMT 1978] |
| A. | Less than unity |
| B. | Equal to unity |
| C. | Greater than unity |
| D. | Less as well as greater than unity depending upon the experimental arrangement |
| Answer» B. Equal to unity | |
| 11696. |
To an observer on the earth the stars appear to twinkle. This can be ascribed to [CPMT 1972, 74; AFMC 1995] |
| A. | The fact that stars do not emit light continuously |
| B. | Frequent absorption of star light by their own atmosphere |
| C. | Frequent absorption of star light by the earth's atmosphere |
| D. | The refractive index fluctuations in the earth's atmosphere |
| Answer» E. | |
| 11697. |
When a light wave goes from air into water, the quality that remains unchanged is its [AMU 1995; MNR 1985, 95; KCET 1993; CPMT 1990, 97; MP PET 1991, 2000, 02; UPSEAT 1999, 2000; AFMC 1993, 98, 2003; RPET 1996, 2000, 03; RPMT 1999, 2000; DCE 2001; BHU 2001] |
| A. | Speed |
| B. | Amplitude |
| C. | Frequency |
| D. | Wavelength |
| Answer» D. Wavelength | |
| 11698. |
Light travels through a glass plate of thickness t and having refractive index n. If c is the velocity of light in vacuum, the time taken by the light to travel this thickness of glass is [NCERT 1976; MP PET 1994; CBSE PMT 1996; KCET 1994; MP PMT 1999, 2001] |
| A. | \[\frac{t}{nc}\] |
| B. | \[tnc\] |
| C. | \[\frac{nt}{c}\] |
| D. | \[\frac{tc}{n}\] |
| Answer» D. \[\frac{tc}{n}\] | |
| 11699. |
A beam of light is converging towards a point \[I\] on a screen. A plane glass plate whose thickness in the direction of the beam = \[t\], refractive index = \[\mu \], is introduced in the path of the beam. The convergence point is shifted by [MNR 1987] |
| A. | \[t\,\left( 1-\frac{1}{\mu } \right)\] away |
| B. | \[t\,\left( 1+\frac{1}{\mu } \right)\] away |
| C. | \[t\,\left( 1-\frac{1}{\mu } \right)\] nearer |
| D. | \[t\,\left( 1+\frac{1}{\mu } \right)\] nearer |
| Answer» B. \[t\,\left( 1+\frac{1}{\mu } \right)\] away | |
| 11700. |
A beam of light propagating in medium A with index of refraction n passes across an interface into medium B with index of refraction n. The angle of incidence is greater than the angle of refraction; v and v denotes the speed of light in A and B. Then which of the following is true |
| A. | v > v and n > n |
| B. | v > v and n < n |
| C. | v < v and n > n |
| D. | v < v and n < n |
| Answer» C. v < v and n > n | |