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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.
351. |
A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4.3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as\[[Take\text{ }g=10m/{{s}^{2}}]\] |
A. | 9m/s |
B. | 12m/s |
C. | 16m/s |
D. | 21.33 m/s |
Answer» D. 21.33 m/s | |
352. |
The relation between the linear magnification \[m,\] the object distance \[u\] and the focal length \[f\] is |
A. | \[m=\frac{f-u}{f}\] |
B. | \[m=\frac{f}{f-u}\] |
C. | \[m=\frac{f+u}{f}\] |
D. | \[m=\frac{f}{f+u}\] |
Answer» C. \[m=\frac{f+u}{f}\] | |
353. |
A plane progressive simple harmonic sound wave of angular frequency \[680\text{ }rad/s\] moves with speed 340 m/s in the direction which makes equal angle with each x, y and z-axis. The phase difference (\[{{\phi }_{1}}-{{\phi }_{2}}\]) between the oscillations of the particle in the medium located at the positions \[(\sqrt{3,}\sqrt{3,}\sqrt{3})\]and \[(2\sqrt{3,}\,2\sqrt{3,}\,2\sqrt{3})\] is (assume\[\cos \theta >0\]) |
A. | 2 radian |
B. | 3 radian |
C. | 4 radian |
D. | 6 radian |
Answer» E. | |
354. |
A solid that transmits light in visible region and has a very low melting point possesses [J & K CET 2001] |
A. | Metallic bonding |
B. | Ionic bonding |
C. | Covalent bonding |
D. | Vander Waal?s bonding |
Answer» E. | |
355. |
The potential energy of a conservative system is given by\[\operatorname{U} = a{{y}^{2}}-by\], where y represents the position of the particle and a as well as b are constants. What is the force acting on the system? |
A. | \[-ay\] |
B. | \[-by\] |
C. | \[2ay-b\] |
D. | \[\operatorname{b}-2ay\] |
Answer» E. | |
356. |
Cohesive force is experienced between [MH CET 2001] |
A. | Magnetic substances |
B. | Molecules of different substances |
C. | Molecules of same substances |
D. | None of these |
Answer» D. None of these | |
357. |
Two slits, 4 mm apart, are illuminated by light of wavelength 6000 Å. What will be the fringe width on a screen placed 2m from the slits [MP PET 2000] |
A. | 0.12 mm |
B. | 0.3 mm |
C. | 3.0 mm |
D. | 4.0 mm |
Answer» C. 3.0 mm | |
358. |
1 a.m.u. is equivalent to [UPSEAT 2001] |
A. | \[1.6\times {{10}^{-12}}Joule\] |
B. | \[1.6\times {{10}^{-19}}Joule\] |
C. | \[1.5\,\times {{10}^{-10}}Joule\] |
D. | \[1.5\times {{10}^{-19}}Joule\] |
Answer» D. \[1.5\times {{10}^{-19}}Joule\] | |
359. |
The work per unit volume to stretch the length by 1% of a wire with cross sectional area of \[1\,m{{m}^{2}}\] will be. \[[Y=9\times {{10}^{11}}\,N/{{m}^{2}}]\] [RPET 1999] |
A. | \[9\times {{10}^{11}}\,J\] |
B. | \[4.5\times {{10}^{7}}\,J\] |
C. | \[9\times {{10}^{7}}J\] |
D. | \[4.5\times {{10}^{11}}\,J\] |
Answer» C. \[9\times {{10}^{7}}J\] | |
360. |
Assertion : Friction is a self-adjusting force. Reason : Friction does not depend upon mass of the body. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» E. If assertion is false but reason is true. | |
361. |
The ratio of the energy of an X-ray photon of wavelength 1 Å to that of visible light of wavelength 5000 Å is [EAMCET (Med.) 1995] |
A. | 1: 5000 |
B. | 5000 : 1 |
C. | 1 :25 \[\times \]106 |
D. | 25 \[\times \]106 |
Answer» C. 1 :25 \[\times \]106 | |
362. |
Which of the following is not a unit of time [UPSEAT 2001] |
A. | Leap year |
B. | Micro second |
C. | Lunar month |
D. | Light year |
Answer» E. | |
363. |
From the following V-T diagram as shown in the figure. What is true about pressure? |
A. | \[{{p}_{1}}<{{p}_{2}}\] |
B. | \[{{p}_{1}}>{{p}_{2}}\] |
C. | \[{{p}_{1}}={{p}_{2}}\] |
D. | Cannot predict |
Answer» B. \[{{p}_{1}}>{{p}_{2}}\] | |
364. |
A gas expands adiabatically at constant pressure such that its temperature \[T\,\propto \,a/\sqrt{V}.\] The value of \[\gamma =({{C}_{p}}/{{C}_{V}})\] of the gas is |
A. | 1.30 |
B. | 1.5 |
C. | 1.67 |
D. | 2 |
Answer» C. 1.67 | |
365. |
For a certain process the molar heat capacity of an ideal gas is found to be \[\left( {{C}_{v}}+\frac{R}{2} \right).\] For the given process it can be concluded that |
A. | PV = constant |
B. | \[\frac{P}{V}=\] constant |
C. | \[\frac{{{V}^{2}}}{P}=\] constant |
D. | none of these |
Answer» C. \[\frac{{{V}^{2}}}{P}=\] constant | |
366. |
Assertion : The mirrors used in search lights are parabolic and not concave spherical. Reason : In a concave spherical mirror the image formed is always virtual. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» D. If the assertion and reason both are false. | |
367. |
Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is 1 : 4 : 9 : 16 then the ratio of their fundamental frequencies are [KCET 2000] |
A. | 16 : 9 : 4 : 1 |
B. | 4 : 3 : 2 : 1 |
C. | 1 : 4 : 2 : 16 |
D. | 1 : 2 : 3 : 4 |
Answer» E. | |
368. |
In a circuit, the current lags behind the voltage by a phase difference of \[\pi /2.\] The circuit contains which of the following [AIIMS 2001] |
A. | Only R |
B. | Only L |
C. | Only C |
D. | R and C |
Answer» C. Only C | |
369. |
A child with mass m is standing at the edge of a playground merry-go-round (A large uniform disc which rotates in horizontal plane about a fixed vertical axis in parks) with moment of inertia Vs I, radius R, and initial angular velocity w as shown in the figure. The child jumps off the edge of the merry-go-round with a velocity v with respect to the ground in direction tangent to periphery of the disc as shown. The new angular veloity of the merry-go-round is : |
A. | \[\sqrt{\frac{I{{\omega }^{2}}-m{{v}^{2}}}{I}}\] |
B. | \[\sqrt{\frac{(I+m{{R}^{2}}){{\omega }^{2}}-m{{v}^{2}}}{I}}\] |
C. | \[\frac{I\omega -mvR}{I}\] |
D. | \[\frac{(I\omega -m{{R}^{2}})\omega -mvR}{I}\] |
Answer» E. | |
370. |
Ice starts forming in a lake with water at \[0{}^\circ C\]when the atmospheric temperature is \[-10{}^\circ C\]. If the time taken for the first 1 cm of ice to be formed is 7 hours, then the time taken for the thickness of ice to change from 1 cm to 2 cm is |
A. | 7 hours |
B. | 14 hours |
C. | 21 hours |
D. | 3.5 hours |
Answer» D. 3.5 hours | |
371. |
1 mole of a gas with \[\gamma =\text{7/5}\] is mixed with 1 mole of a gas with \[\gamma =5\text{/3,}\] then the value of \[\gamma \] for the resulting mixture is |
A. | 44323 |
B. | 44318 |
C. | 44230 |
D. | 44389 |
Answer» D. 44389 | |
372. |
In a closed vessel, pressure increases by 0.4% when temperature increases by. What is the initial temperature? |
A. | 250 K |
B. | \[250{}^\circ C\] |
C. | 25 K |
D. | \[25{}^\circ C\] |
Answer» B. \[250{}^\circ C\] | |
373. |
Assertion : Aeroplanes are made to run on the runway before take off, so that they acquire the necessary lift. Reason : According to Bernoulli's theorem, as velocity increases pressure decreases and viceversa. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion. | |
374. |
At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant is [AIIMS 1995] |
A. | Sinusoidal shape with amplitude A/3 |
B. | Sinusoidal shape with amplitude A/2 |
C. | Sinusoidal shape with amplitude A |
D. | Straight line |
Answer» E. | |
375. |
Transverse waves of same frequency are generated in two steel wires A and B. The diameter of A is twice of B and the tension in A is half that in B. The ratio of velocities of wave in A and B is [KCET 2001] |
A. | \[1\ :\ 3\sqrt{2}\] |
B. | \[1\ :\ 2\sqrt{2}\] |
C. | \[1\ :\ 2\] |
D. | \[\sqrt{2}\ :\ 1\] |
Answer» C. \[1\ :\ 2\] | |
376. |
A source of sound S emitting waves of frequency 100 Hz and an observer 0 are located at some distance from each other. The source is moving with a speed of \[19.4m{{s}^{-1}}\] at an angle of \[60{}^\circ \] with the source observer line as shown in the figure. .The observer is at rest. The apparent frequency observed by the observer is (velocity of sound in air \[330m{{s}^{-1}}\]) |
A. | 103 Hz |
B. | 106 Hz |
C. | 97 Hz |
D. | 100 Hz |
Answer» B. 106 Hz | |
377. |
The sound carried by air from a sitar to a listener is a wave of the following type [MP PMT 1987; RPET 2001] |
A. | Longitudinal stationary |
B. | Transverse progressive |
C. | Transverse stationary |
D. | Longitudinal progressive |
Answer» E. | |
378. |
For the production of X-rays of wavelength 0.1 Å the minimum potential difference will be [MP PMT 1994; RPMT 1995] |
A. | 12.4 kV |
B. | 24.8 kV |
C. | 124 kV |
D. | 248 kV |
Answer» D. 248 kV | |
379. |
A point source of light is placed 4 m below the surface of water of refractive index 5 / 3. The minimum diameter of a disc which should be placed over the source on the surface of water to cut?off all light coming out of water is [CBSE PMT 1994; JIPMER 2001, 02] |
A. | 2 m |
B. | 6 m |
C. | 4 m |
D. | 3 m |
Answer» C. 4 m | |
380. |
A block is given velocity 10 m/s along the fixed inclined as shown in figure from the bottom of the inclined plane. Find the total distance travelled along the inclined plane, if the coefficient of friction is equal to 0.5: |
A. | 5m |
B. | 10m |
C. | \[\frac{25}{3}m\] |
D. | \[\frac{50}{3}m\] |
Answer» C. \[\frac{25}{3}m\] | |
381. |
What is the minimum stopping distance for a vehicle of mass m moving with speed v along a level road. If the coefficient of friction between the tyres and the road is \[x=40\,cm\] |
A. | \[\frac{{{v}^{2}}}{2\mu g}\] |
B. | \[\frac{2{{v}^{2}}}{\mu g}\] |
C. | \[\frac{{{v}^{2}}}{\mu g}\] |
D. | none of these |
Answer» B. \[\frac{2{{v}^{2}}}{\mu g}\] | |
382. |
A block of mass 10 kg is kept on the fixed incline having coefficient of friction 0.8. Find the force of friction exerted on the block by inclined: |
A. | 100 N |
B. | 64 N |
C. | 80 N |
D. | 60 N |
Answer» E. | |
383. |
Assertion : The minimum number of non coplanar vectors whose sum can be zero, is four. Reason : The resultant of two vectors of unequal magnitude can be zero. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» D. If the assertion and reason both are false. | |
384. |
Two waves having intensity in the ratio 25 : 4 produce interference. The ratio of the maximum to the minimum intensity is [CPMT 1999] |
A. | 5 : 2 |
B. | 7 : 3 |
C. | 49 : 9 |
D. | 9 : 49 |
Answer» D. 9 : 49 | |
385. |
Wavefront means [RPMT 1997, 98] |
A. | All particles in it have same phase |
B. | All particles have opposite phase of vibrations |
C. | Few particles are in same phase, rest are in opposite phase |
D. | None of these |
Answer» B. All particles have opposite phase of vibrations | |
386. |
Wave front of a wave has direction with wave motion [RPMT 1997] |
A. | Parallel |
B. | Perpendicular |
C. | Opposite |
D. | At an angle of q |
Answer» C. Opposite | |
387. |
The temperature of a substance increases by 27°C. On the Kelvin scale this increase is equal to [CPMT 1993] |
A. | 300 K |
B. | 2.46 K |
C. | 27 K |
D. | 7 K |
Answer» D. 7 K | |
388. |
Assertion : Torque on the coil is the maximum, when coil is suspended in a radial magnetic field. Reason : The torque tends to rotate the coil on its own axis. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» C. If assertion is true but reason is false. | |
389. |
The velocity of an electron in the second orbit of sodium atom (atomic number = 11) is v. The velocity of an electron in its fifth orbit will be |
A. | v |
B. | \[\frac{22}{5}v\] |
C. | \[\frac{5}{2}v\] |
D. | \[\frac{2}{5}v\] |
Answer» E. | |
390. |
The extreme wavelengths of Paschen series are |
A. | \[0.365\mu m\]and \[0.565\mu m\] |
B. | \[0.818\mu m\]and \[1.89\mu m\] |
C. | \[1.45\mu m\]and \[4.04\mu m\] |
D. | \[2.27\mu m\]and \[7.43\mu m\] |
Answer» C. \[1.45\mu m\]and \[4.04\mu m\] | |
391. |
X-rays can be used to study crystal structure, if the wavelength lies in the range |
A. | 2 Å to 0.1 Å |
B. | 10 Å to 5 Å |
C. | 50 Å to 10 Å |
D. | 100 Å to 50 Å |
Answer» B. 10 Å to 5 Å | |
392. |
Assertion : Power developed in circular motion is always zero. Reason : Work done in case of circular motion is zero. |
A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
C. | If assertion is true but reason is false. |
D. | If the assertion and reason both are false. |
E. | If assertion is false but reason is true. |
Answer» F. | |
393. |
Which of the following is a unit of energy [AFMC 2002] |
A. | Unit |
B. | Watt |
C. | Horse Power |
D. | None |
Answer» E. | |
394. |
In a wave, the path difference corresponding to a phase difference of f is [MP PET 2000] |
A. | \[\frac{\pi }{2\lambda }\varphi \] |
B. | \[\frac{\pi }{\lambda }\varphi \] |
C. | \[\frac{\lambda }{2\pi }\varphi \] |
D. | \[\frac{\lambda }{\pi }\varphi \] |
Answer» D. \[\frac{\lambda }{\pi }\varphi \] | |
395. |
What is the equivalent thermal conductivity of the rods in figure given below, if the length of each cylinder be \[\ell \] and area of cylinder having thermal conductivities\[{{\operatorname{K}}_{1}}\]and \[{{K}_{3}}\]be A while that of the middle cylinder haying thermal conductivity \[{{K}_{2}}\] be 2A? |
A. | \[\frac{5}{2\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\] |
B. | \[\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\] |
C. | \[\frac{2}{5\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\] |
D. | None of these |
Answer» B. \[\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\] | |
396. |
A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen: |
A. | 14 cm below flat surface |
B. | 20 cm below flat surface |
C. | 16 cm below flat surface |
D. | 30 cm below flat surface |
Answer» C. 16 cm below flat surface | |
397. |
If the lattice constant of this semiconductor is decreased, then which of the following is correct? |
A. | All \[{{E}_{c}},{{E}_{g}},{{E}_{v}}\] increase |
B. | \[{{E}_{c}}\] and \[{{E}_{v}}\] increase, but \[{{E}_{g}}\] decreases |
C. | \[{{E}_{c}}\] and \[{{E}_{v}}\] decrease, but \[{{E}_{g}}\] increases |
D. | All \[{{E}_{c}},{{E}_{g}},{{E}_{v}}\] decrease |
Answer» D. All \[{{E}_{c}},{{E}_{g}},{{E}_{v}}\] decrease | |
398. |
A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves would travel on its with a velocity of [BCECE 2005] |
A. | 125 m/s |
B. | 250 m/s |
C. | 500 m/s |
D. | 1000 m/s |
Answer» D. 1000 m/s | |
399. |
Mosley's law relates the frequencies of line X-rays with the following characteristics of the target element [CPMT 1980; NCERT 1985] |
A. | Its density |
B. | Its atomic weight |
C. | Its atomic number |
D. | Interplaner spacing of the atomic planes |
Answer» D. Interplaner spacing of the atomic planes | |
400. |
Consider telecommunication through optical fibres. Which of the following statements is not true [AIEEE 2003] |
A. | Optical fibres may have homogeneous core with a suitable cladding |
B. | Optical fibres can be of graded refractive index |
C. | Optical fibres are subject to electromagnetic interference from outside |
D. | Optical fibres have extremely low transmission loss |
Answer» D. Optical fibres have extremely low transmission loss | |