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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.
| 3301. |
Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be |
| A. | 40 km/hr |
| B. | 45 km/hr |
| C. | 30 km/hr |
| D. | 15 km/hr |
| Answer» C. 30 km/hr | |
| 3302. |
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is [J&K CET 2005] |
| A. | 5 min |
| B. | 60 min |
| C. | 20 min |
| D. | 30 min |
| Answer» E. | |
| 3303. |
The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as [RPET 1999] |
| A. | 5 m/sec ; 1 m/sec |
| B. | 4 m/sec ; 1 m/sec |
| C. | 4 m/sec ; 2 m/sec |
| D. | 5 m/sec ; 2 m/sec |
| Answer» B. 4 m/sec ; 1 m/sec | |
| 3304. |
A train of 150 meter length is going towards north direction at a speed of \[10m/\sec \]. A parrot flies at the speed of \[5\,\,m/\sec \] towards south direction parallel to the railway track. The time taken by the parrot to cross the train is [CBSE PMT 1992; BHU 1998] |
| A. | 12 sec |
| B. | 8 sec |
| C. | 15 sec |
| D. | 10 sec |
| Answer» E. | |
| 3305. |
A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is: [Pb. PET 2004] |
| A. | 10 km/hr |
| B. | 8 km/hr |
| C. | 6 km/hr |
| D. | 4 km/hr |
| Answer» D. 4 km/hr | |
| 3306. |
A police jeep is chasing with, velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is [BHU 2003; CPMT 2004] |
| A. | 150 m/s |
| B. | 27 m/s |
| C. | 450 m/s |
| D. | 250 m/s |
| Answer» B. 27 m/s | |
| 3307. |
A 210 meter long train is moving due North at a of 25m/s. A small bird is flying due South a little above the train with speed 5m/s. The time taken by the bird to cross the train is [AMU (Med.) 2001] |
| A. | \[6s\] |
| B. | \[7s\] |
| C. | \[9s\] |
| D. | \[10s\] |
| Answer» C. \[9s\] | |
| 3308. |
An express train is moving with a velocity v1. Its driver finds another train is moving on the same track in the same direction with velocity v2. To escape collision, driver applies a retardation a on the train. the minimum time of escaping collision will be [RPET 2002] |
| A. | \[t=\frac{{{v}_{1}}-{{v}_{2}}}{a}\] |
| B. | \[{{t}_{1}}=\frac{v_{1}^{2}-v_{2}^{2}}{2}\] |
| C. | None |
| D. | Both |
| Answer» B. \[{{t}_{1}}=\frac{v_{1}^{2}-v_{2}^{2}}{2}\] | |
| 3309. |
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is [J & K CET 2004] |
| A. | East-north direction |
| B. | West-north direction |
| C. | South-east direction |
| D. | None of these |
| Answer» C. South-east direction | |
| 3310. |
A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south. [BHU 2005] |
| A. | 30° with downstream |
| B. | 60° with downstream |
| C. | 120° with downstream |
| D. | South |
| Answer» D. South | |
| 3311. |
Two trains, each 50 m long are travelling in opposite direction with velocity 10 m/s and 15 m/s. The time of crossing is [CPMT 1999; JIPMER 2000; RPET 2001] |
| A. | \[2s\] |
| B. | \[4\,s\] |
| C. | \[2\sqrt{3}s\] |
| D. | \[t=\frac{{{\nu }_{1}}-{{\nu }_{2}}}{a}\] |
| Answer» C. \[2\sqrt{3}s\] | |
| 3312. |
For a body moving with relativistic speed, if the velocity is doubled, then [Orissa JEE 2005] |
| A. | Its linear momentum is doubled |
| B. | Its linear momentum will be less than double |
| C. | Its linear momentum will be more than double |
| D. | Its linear momentum remains unchanged |
| Answer» D. Its linear momentum remains unchanged | |
| 3313. |
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. | |
| 3314. |
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 | |
| 3315. |
In vacuum the speed of light depends upon [MP PMT 2001] |
| A. | Frequency |
| B. | Wave length |
| C. | Velocity of the source of light |
| D. | None of these |
| Answer» E. | |
| 3316. |
If the wavelength of light in vacuum be l, the wavelength in a medium of refractive index n will be [UPSEAT 2001; MP PET 2001] |
| A. | nl |
| B. | \[\frac{\lambda }{n}\] |
| C. | \[\frac{\lambda }{{{n}^{2}}}\] |
| D. | n2l |
| Answer» C. \[\frac{\lambda }{{{n}^{2}}}\] | |
| 3317. |
Speed of light is maximum in [CPMT 1990; MP PMT 1994; AFMC 1996] |
| A. | Water |
| B. | Air |
| C. | Glass |
| D. | Diamond |
| Answer» C. Glass | |
| 3318. |
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 | |
| 3319. |
The wavelength of light in air and some other medium are respectively \[{{\lambda }_{a}}\] and \[{{\lambda }_{m}}.\] The refractive index of medium is [RPMT 2003] |
| A. | \[{{\lambda }_{a}}/{{\lambda }_{m}}\] |
| B. | \[{{\lambda }_{m}}/{{\lambda }_{a}}\] |
| C. | \[{{\lambda }_{a}}\times {{\lambda }_{m}}\] |
| D. | None of these |
| Answer» B. \[{{\lambda }_{m}}/{{\lambda }_{a}}\] | |
| 3320. |
Refractive index of air is 1.0003. The correct thickness of air column which will have one more wavelength of yellow light \[\left( 6000\text{ }{AA} \right)\] than in the same thickness in vacuum is [RPMT 1995] |
| A. | 2 mm |
| B. | 2 cm |
| C. | 2 m |
| D. | 2 km |
| Answer» B. 2 cm | |
| 3321. |
The mean distance of sun from the earth is \[1.5\times {{10}^{8}}Km\] (nearly). The time taken by the light to reach earth from the sun is [Pb. PET 2003] |
| A. | 0.12 min |
| B. | 8.33 min |
| C. | 12.5 min |
| D. | 6.25 min |
| Answer» C. 12.5 min | |
| 3322. |
The wavelength of sodium light in air is \[5890\,{AA}\]. The velocity of light in air is \[3\times {{10}^{8}}m{{s}^{-1}}.\] The wavelength of light in a glass of refractive index 1.6 would be close to [DCE 2003] |
| A. | \[5890\,\,{AA}\] |
| B. | \[3681\,\,{AA}\] |
| C. | \[9424\,\,{AA}\] |
| D. | \[15078\,\,{AA}\] |
| Answer» C. \[9424\,\,{AA}\] | |
| 3323. |
The refractive indices of water and glass with respect to air are 1.2 and 1.5 respectively. The refractive index of glass with respect to water is [Pb. PET 2002] |
| A. | 0.6 |
| B. | 0.8 |
| C. | 1.25 |
| D. | 1.75 |
| Answer» D. 1.75 | |
| 3324. |
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. \[4\times {{10}^{14}}Hz\] | |
| 3325. |
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. | |
| 3326. |
An object is immersed in a fluid. In order that the object becomes invisible, it should [AIIMS 2004] |
| A. | Behave as a perfect reflector |
| B. | Absorb all light falling on it |
| C. | Have refractive index one |
| D. | Have refractive index exactly matching with that of the surrounding fluid |
| Answer» E. | |
| 3327. |
A thin oil layer floats on water. A ray of light making an angle of incidence of \[40{}^\circ \] shines on oil layer. The angle of refraction of light ray in water is (\[{{\mu }_{oil}}=1.45,\,{{\mu }_{water}}=1.33\]) [MP PMT 1993] |
| A. | \[36.1{}^\circ \] |
| B. | \[44.5{}^\circ \] |
| C. | \[26.8{}^\circ \] |
| D. | \[28.9{}^\circ \] |
| Answer» E. | |
| 3328. |
Stars are twinkling due to [CPMT 1997] |
| A. | Diffraction |
| B. | Reflection |
| C. | Refraction |
| D. | Scattering |
| Answer» D. Scattering | |
| 3329. |
Light of different colours propagates through air |
| A. | With the velocity of air |
| B. | With different velocities |
| C. | With the velocity of sound |
| D. | Having the equal velocities |
| Answer» E. | |
| 3330. |
A ray of light is incident on a transparent glass slab of refractive index 1.62. The reflected and the refracted rays are mutually perpendicular. The angle of incidence is [MP PET 2002] |
| A. | 58.3o |
| B. | 50o |
| C. | 35o |
| D. | 30o |
| Answer» B. 50o | |
| 3331. |
Which of the following statement is true [Orissa JEE 2002] |
| A. | Velocity of light is constant in all media |
| B. | Velocity of light in vacuum is maximum |
| C. | Velocity of light is same in all reference frames |
| D. | Laws of nature have identical form in all reference frames |
| Answer» C. Velocity of light is same in all reference frames | |
| 3332. |
The optical path of a monochromatic light is same if it goes through 4.0 cm of glass or 4.5 cm of water. If the refractive index of glass is 1.53, the refractive index of the water is [UPSEAT 2002] |
| A. | 1.30 |
| B. | 1.36 |
| C. | 1.42 |
| D. | 1.46 |
| Answer» C. 1.42 | |
| 3333. |
An underwater swimmer is at a depth of 12 m below the surface of water. A bird is at a height of 18 m from the surface of water, directly above his eyes. For the swimmer the bird appears to be at a distance from the surface of water equal to (Refractive Index of water is 4/3) [KCET (Engg.) 2001] |
| A. | 24 m |
| B. | 12 m |
| C. | 18 m |
| D. | 9 m |
| Answer» B. 12 m | |
| 3334. |
The reason of seeing the Sun a little before the sunrise is [MP PMT 2001; Orissa JEE 2003] |
| A. | Reflection of the light |
| B. | Refraction of the light |
| C. | Scattering of the light |
| D. | Dispersion of the light |
| Answer» C. Scattering of the light | |
| 3335. |
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. \[\frac{({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4H}\] | |
| 3336. |
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 | |
| 3337. |
The refractive index of water and glass with respect to air is 1.3 and 1.5 respectively. Then the refractive index of glass with respect to water is [MH CET (Med.) 1999] |
| A. | \[\frac{2.6}{1.5}\] |
| B. | \[\frac{1.5}{2.6}\] |
| C. | \[\frac{1.3}{1.5}\] |
| D. | \[\frac{1.5}{1.3}\] |
| Answer» E. | |
| 3338. |
How much water should be filled in a container 21 cm in height, so that it appears half filled when viewed from the top of the container (given that \[_{a}{{\mu }_{\omega }}=4/3\]) [MP PMT 1989] |
| A. | 8.0 cm |
| B. | 10.5 cm |
| C. | 12.0 cm |
| D. | None of the above |
| Answer» D. None of the above | |
| 3339. |
The ratio of thickness of plates of two transparent mediums A and B is 6 : 4. If light takes equal time in passing through them, then refractive index of B with respect to A will be [UPSEAT 1999] |
| A. | 1.4 |
| B. | 1.5 |
| C. | 1.75 |
| D. | 1.33 |
| Answer» C. 1.75 | |
| 3340. |
Absolute refractive indices of glass and water are \[\frac{3}{2}\] and \[\frac{4}{3}\]. The ratio of velocity of light in glass and water will be [UPSEAT 1999] |
| A. | 4 : 3 |
| B. | 8 : 7 |
| C. | 8 : 9 |
| D. | 3 : 4 |
| Answer» D. 3 : 4 | |
| 3341. |
A ray of light is incident on the surface of separation of a medium at an angle \[45{}^\circ \] and is refracted in the medium at an angle \[30{}^\circ \]. What will be the velocity of light in the medium [AFMC 1998; MH CET (Med.) 1999] |
| A. | \[1.96\times {{10}^{8}}\] m/s |
| B. | \[2.12\times {{10}^{8}}\] \[m/s\] |
| C. | \[3.18\times {{10}^{8}}\]\[m/s\] |
| D. | \[3.33\times {{18}^{8}}\]\[m/s\] |
| Answer» C. \[3.18\times {{10}^{8}}\]\[m/s\] | |
| 3342. |
A plane glass slab is kept over various coloured letters, the letter which appears least raised is [J & K CET 2004; BHU 1998, 05] |
| A. | Blue |
| B. | Violet |
| C. | Green |
| D. | Red |
| Answer» E. | |
| 3343. |
What is the time taken (in seconds) to cross a glass of thickness 4 mm and \[\mu \]= 3 by light [BHU 1998; Pb. PMT 1999, 2001; MH CET 2000; MP PET 2001] |
| A. | \[4\times {{10}^{-11}}\] |
| B. | \[2\times {{10}^{-11}}\] |
| C. | \[16\times {{10}^{-11}}\] |
| D. | \[8\times {{10}^{-10}}\] |
| Answer» B. \[2\times {{10}^{-11}}\] | |
| 3344. |
Electromagnetic radiation of frequency n, wavelength \[\lambda \], travelling with velocity v in air, enters a glass slab of refractive index \[\mu \]. The frequency, wavelength and velocity of light in the glass slab will be respectively [CBSE PMT 1997] |
| A. | \[\frac{n}{\mu }\,,\,\frac{\lambda }{\mu },\,\frac{v}{\mu }\] |
| B. | \[n,\frac{\lambda }{\mu },\frac{v}{\mu }\] |
| C. | \[n\,,\,\lambda \,,\,\frac{\text{v}}{\mu }\] |
| D. | \[\frac{n}{\mu }\,,\,\,\]\[\frac{\lambda }{\mu }\,,\,v\] |
| Answer» C. \[n\,,\,\lambda \,,\,\frac{\text{v}}{\mu }\] | |
| 3345. |
The refractive index of water with respect to air is 4 / 3 and the refractive index of glass with respect to air is 3/2. The refractive index of water with respect to glass is [BHU 1997; JIPMER 2000] |
| A. | \[\frac{9}{8}\] |
| B. | \[\frac{8}{9}\] |
| C. | \[\frac{1}{2}\] |
| D. | 2 |
| Answer» C. \[\frac{1}{2}\] | |
| 3346. |
The time required to pass the light through a glass slab of 2 mm thick is (\[{{\mu }_{glass}}=1.5\]) [AFMC 1997; MH CET 2002, 04] |
| A. | \[{{10}^{-5}}\,s\] |
| B. | \[{{10}^{-11}}\]\[s\] |
| C. | \[{{10}^{-9}}\]s |
| D. | \[{{10}^{-13}}\]\[s\] |
| Answer» C. \[{{10}^{-9}}\]s | |
| 3347. |
The refractive index of water is 1.33. What will be the speed of light in water [CBSE PMT 1996; KCET 1998] |
| A. | \[3\times {{10}^{8}}\] \[m/s\] |
| B. | \[2.25\times {{10}^{8}}\] \[m/s\] |
| C. | \[4\times {{10}^{8}}\] \[m/s\] |
| D. | \[1.33\times {{10}^{8}}\] m/s |
| Answer» C. \[4\times {{10}^{8}}\] \[m/s\] | |
| 3348. |
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. | |
| 3349. |
A light wave has a frequency of \[4\times {{10}^{14}}\]Hz and a wavelength of \[5\times {{10}^{-7}}\] meters in a medium. The refractive index of the medium is [MP PMT 1989] |
| A. | 1.5 |
| B. | 1.33 |
| C. | 1.0 |
| D. | 0.66 |
| Answer» B. 1.33 | |
| 3350. |
The bottom of a container filled with liquid appear slightly raised because of [RPMT 1997] |
| A. | Refraction |
| B. | Interference |
| C. | Diffraction |
| D. | Reflection |
| Answer» B. Interference | |