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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.
| 3801. |
A hot and a cold body are kept in vacuum separated from each other. Which of the following cause decrease in temperature of the hot body [AFMC 2005] |
| A. | Radiation |
| B. | Convection |
| C. | Conduction |
| D. | Temperature remains unchanged |
| Answer» B. Convection | |
| 3802. |
Pick out the statement which is not true [KCET 2002] |
| A. | IR radiations are used for long distance photography |
| B. | IR radiations arise due to inner electron transitions in atoms |
| C. | IR radiations are detected by using a bolometer |
| D. | Sun is the natural source of IR radiation |
| Answer» C. IR radiations are detected by using a bolometer | |
| 3803. |
Infrared radiation is detected by [AIEEE 2002] |
| A. | Spectrometer |
| B. | Pyrometer |
| C. | Nanometer |
| D. | Photometer |
| Answer» C. Nanometer | |
| 3804. |
On a clear sunny day, an object at temperature T is placed on the top of a high mountain. An identical object at the same temperature is placed at the foot of mountain. If both the objects are exposed to sun-rays for two hours in an identical manner, the object at the top of the mountain will register a temperature [CPMT 1988] |
| A. | Higher than the object at the foot |
| B. | Lower than the object at the foot |
| C. | Equal to the object at the foot |
| D. | None of the above |
| Answer» C. Equal to the object at the foot | |
| 3805. |
A particle on the trough of a wave at any instant will come to the mean position after a time (T = time period) [KCET 2005] |
| A. | \[T/2\] |
| B. | \[T/4\] |
| C. | T |
| D. | \[2T\] |
| Answer» C. T | |
| 3806. |
Equation of motion in the same direction are given by \[{{y}_{1}}=2a\sin (\omega t-kx)\] and \[{{y}_{2}}=2a\sin (\omega t-kx-\theta )\] The amplitude of the medium particle will be [CPMT 2004] |
| A. | \[2a\cos \theta \] |
| B. | \[\sqrt{2}a\cos \theta \] |
| C. | \[4a\cos \theta /2\] |
| D. | \[\sqrt{2}a\cos \theta /2\] |
| Answer» D. \[\sqrt{2}a\cos \theta /2\] | |
| 3807. |
The phase difference between two waves represented by \[{{y}_{1}}={{10}^{-6}}\sin [100\,t+(x/50)+0.5]m\] \[{{y}_{2}}={{10}^{-6}}\cos \,[100\,t+(x/50)]m\] where x is expressed in metres and t is expressed in seconds, is approximately [CBSE PMT 2004] |
| A. | 1.5 rad |
| B. | 1.07 rad |
| C. | 2.07 rad |
| D. | 0.5 rad |
| Answer» C. 2.07 rad | |
| 3808. |
Equation of a progressive wave is given by \[y=a\,\sin \pi \,\left[ \frac{t}{2}-\frac{x}{4} \right]\,,\] where t is in seconds and x is in meters. The distance through which the wave moves in 8 sec is (in meter) [KCET 1998] |
| A. | 8 |
| B. | 16 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 3809. |
A transverse sinusoidal wave of amplitude a, wavelength l and frequency n is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If \[a={{10}^{-3}}\,m\] and \[v=10\,m{{s}^{-1}}\], then l and n are given by [IIT 1998] |
| A. | \[\lambda =2\pi \times {{10}^{-2}}\,m\] |
| B. | \[\lambda ={{10}^{-3}}\,m\] |
| C. | \[n=\frac{{{10}^{3}}}{2\pi }Hz\] |
| D. | \[n={{10}^{4}}\,Hz\] |
| Answer» B. \[\lambda ={{10}^{-3}}\,m\] | |
| 3810. |
A transverse progressive wave on a stretched string has a velocity of \[10\,m{{s}^{-1}}\] and a frequency of 100 Hz. The phase difference between two particles of the string which are 2.5 cm apart will be [MP PMT 1994] |
| A. | \[\frac{\pi }{8}\] |
| B. | \[\frac{\pi }{4}\] |
| C. | \[\frac{3\pi }{8}\] |
| D. | \[\frac{\pi }{2}\] |
| Answer» E. | |
| 3811. |
The equation of a travelling wave is given by \[y=0.5\sin (20x-400t)\] where x and y are in meter and t is in second. The velocity of the wave is [UPSEAT 2004] |
| A. | 10 m/s |
| B. | 20 m/s |
| C. | 200 m/s |
| D. | 400 m/s |
| Answer» C. 200 m/s | |
| 3812. |
A plane progressive wave is represented by the equation \[y=0.1\sin \left( 200\pi t-\frac{20\pi x}{17} \right)\] where y is displacement in m, t in second and x is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are [Pb. PET 2001] |
| A. | 100 Hz, 1.7 m, 170 m/s |
| B. | 150 Hz, 2.4 m, 200 m/s |
| C. | 80 Hz, 1.1 m, 90 m/s |
| D. | 120 Hz, 1.25 m, 207 m/s |
| Answer» B. 150 Hz, 2.4 m, 200 m/s | |
| 3813. |
Two waves are given by \[{{y}_{1}}=a\sin (\omega t-kx)\] and \[{{y}_{2}}=a\cos (\omega \,t-kx)\] The phase difference between the two waves is [MP PMT 1993; SCRA 1996; CET 1998; EAMCET 1991; Orissa JEE 2002] |
| A. | \[\frac{\pi }{4}\] |
| B. | p |
| C. | \[\frac{\pi }{8}\] |
| D. | \[\frac{\pi }{2}\] |
| Answer» E. | |
| 3814. |
The phase difference between two points separated by 0.8 m in a wave of frequency is 120 Hz is \[\frac{\pi }{2}.\] The velocity of wave is [Pb. PET 2000] |
| A. | 720 m/s |
| B. | 384 m/s |
| C. | 250 m/s |
| D. | 1 m/s |
| Answer» C. 250 m/s | |
| 3815. |
If the wave equation \[y=0.08\sin \frac{2\pi }{\lambda }(200t-x)\] then the velocity of the wave will be [BCECE 2004] |
| A. | \[400\sqrt{2}\] |
| B. | \[200\sqrt{2}\] |
| C. | 400 |
| D. | 200 |
| Answer» E. | |
| 3816. |
The displacement y of a particle in a medium can be expressed as: \[y={{10}^{-6}}\sin (100t+20x+\pi /4)m,\] where t is in second and x in meter. The speed of wave is [AIEEE 2004] |
| A. | 2000 m/s |
| B. | 5 m/s |
| C. | 20 m/s |
| D. | \[5\pi \text{ }m/s\] |
| Answer» C. 20 m/s | |
| 3817. |
The displacement \[y\] of a wave travelling in the x-direction is given by \[y={{10}^{-4}}\sin \,\,\left( 600t-2x+\frac{\pi }{3} \right)\] metres, where \[x\] is expressed in metres and \[t\] in seconds. The speed of the wave-motion, in ms?1, is [AIEEE 2003] |
| A. | 200 |
| B. | 300 |
| C. | 600 |
| D. | 1200 |
| Answer» C. 600 | |
| 3818. |
The equation of the propagating wave is \[y=25\sin (20t+5x),\] where \[y\] is displacement. Which of the following statement is not true [MP PET 2003] |
| A. | The amplitude of the wave is 25 units |
| B. | The wave is propagating in positive \[x\]-direction |
| C. | The velocity of the wave is 4 units |
| D. | The maximum velocity of the particles is 500 units |
| Answer» C. The velocity of the wave is 4 units | |
| 3819. |
The equation of a wave is given as \[y=0.07\sin (12\pi x-3000\pi t)\]. Where \[x\] is in metre and \[t\] in sec, then the correct statement is [UPSEAT 2003] |
| A. | \[\lambda =1/6m,\ v=250m/s\] |
| B. | \[a=0.07m,\ v=300m/s\] |
| C. | \[n=1500,\ v=200m/s\] |
| D. | None |
| Answer» B. \[a=0.07m,\ v=300m/s\] | |
| 3820. |
Which of the following is not true for this progressive wave \[y=4\sin 2\pi \left( \frac{t}{0.02}-\frac{x}{100} \right)\] where \[y\] and \[x\] are in cm & \[t\] in sec [CPMT 2003] |
| A. | Its amplitude is 4 cm |
| B. | Its wavelength is 100 cm |
| C. | Its frequency is 50 cycles/sec |
| D. | Its propagation velocity is \[50\times {{10}^{3}}\] cm/sec |
| Answer» E. | |
| 3821. |
Two waves represented by the following equations are travelling in the same medium \[{{y}_{1}}=5\sin 2\pi (75t-0.25x)\], \[{{y}_{2}}=10\sin 2\pi (150t-0.50x)\] The intensity ratio \[{{I}_{1}}/{{I}_{2}}\] of the two waves is [UPSEAT 2002] |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 1 : 8 |
| D. | 1 : 16 |
| Answer» C. 1 : 8 | |
| 3822. |
The equation of a progressive wave is given by \[y=a\sin (628t-31.4x)\] If the distances are expressed in cms and time in seconds, then the wave velocity will be [DPMT 1999] |
| A. | 314 cm/sec |
| B. | 628 cm/sec |
| C. | 20 cm/sec |
| D. | 400 cm/sec |
| Answer» D. 400 cm/sec | |
| 3823. |
A wave travelling in positive X-direction with \[A=0.2m\] has a velocity of 360 m/sec. if \[\lambda =60m,\] then correct expression for the wave is [CBSE PMT 2002; KCET 2003] |
| A. | \[y=0.2\sin \,\left[ 2\pi \left( 6t+\frac{x}{60} \right) \right]\] |
| B. | \[y=0.2\sin \,\left[ \pi \left( 6t+\frac{x}{60} \right) \right]\] |
| C. | \[y=0.2\sin \,\left[ 2\pi \left( 6t-\frac{x}{60} \right) \right]\] |
| D. | \[y=0.2\sin \,\left[ \pi \left( 6t-\frac{x}{60} \right) \right]\] |
| Answer» D. \[y=0.2\sin \,\left[ \pi \left( 6t-\frac{x}{60} \right) \right]\] | |
| 3824. |
The equation of a wave is represented by \[y={{10}^{-4}}\sin \,\left[ 100\,t-\frac{x}{10} \right].\] The velocity of the wave will be [CBSE PMT 2001] |
| A. | 100 m/s |
| B. | 250 m/s |
| C. | 750 m/s |
| D. | 1000 m/s |
| Answer» E. | |
| 3825. |
A wave equation which gives the displacement along y-direction is given by \[y=0.001\sin (100t+x)\] where x and y are in meterand t is time in second. This represented a wave [UPSEAT 2001] |
| A. | Of frequency \[\frac{100}{\pi }\] Hz |
| B. | Of wavelength one metre |
| C. | Travelling with a velocity of \[\frac{50}{\pi }\]ms?1 in the positive X-direction |
| D. | Travelling with a velocity of 100 ms?1 in the negative X-direction |
| Answer» E. | |
| 3826. |
The equation of a longitudinal wave is represented as \[y=20\cos \pi (50t-x)\]. Its wavelength is [UPSEAT 2001; Orissa PMT 2004] |
| A. | 5 cm |
| B. | 2 cm |
| C. | 50 cm |
| D. | 20 cm |
| Answer» C. 50 cm | |
| 3827. |
The equation of progressive wave is \[y=a\sin (200\,t-x)\]. where \[x\] is in meter and \[t\] is in second. The velocity of wave is [RPMT 2000] |
| A. | 200 m/sec |
| B. | 100 m/sec |
| C. | 50 m/sec |
| D. | None of these |
| Answer» B. 100 m/sec | |
| 3828. |
The intensity of a progressing plane wave in loss-free medium is [Roorkee 2000] |
| A. | Directly proportional to the square of amplitude of the wave |
| B. | Directly proportional to the velocity of the wave |
| C. | Directly proportional to the square of frequency of the wave |
| D. | Inversely proportional to the density of the medium |
| Answer» C. Directly proportional to the square of frequency of the wave | |
| 3829. |
A simple harmonic progressive wave is represented by the equation : \[y=8\sin 2\pi (0.1x-2t)\] where \[x\] and \[y\] are in cm and \[t\] is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is [MP PMT 2000] |
| A. | 18o |
| B. | 36o |
| C. | 54o |
| D. | 72o |
| Answer» E. | |
| 3830. |
The equation of a wave travelling on a string is \[y=4\sin \frac{\pi }{2}\left( 8t-\frac{x}{8} \right)\]. If x and y are in cm, then velocity of wave is [MP PET 1990] |
| A. | 64 cm/sec in ? x direction |
| B. | 32 cm/sec in ? x direction |
| C. | 32 cm/sec in + x direction |
| D. | 64 cm/sec in + x direction |
| Answer» E. | |
| 3831. |
A wave is represented by the equation : \[y=a\sin (0.01x-2t)\] where a and x are in cm. velocity of propagation of wave is [EAMCET 1994; AIIMS 2000; Pb. PMT 2003] |
| A. | 10 cm/s |
| B. | 50 cm/s |
| C. | 100 cm/s |
| D. | 200 cm/s |
| Answer» E. | |
| 3832. |
If the equation of transverse wave is \[y=5\sin 2\pi \left[ \frac{t}{0.04}-\frac{x}{40} \right]\], where distance is in cm and time in second, then the wavelength of the wave is [MH CET 2000; DPMT 2003] |
| A. | 60 cm |
| B. | 40 cm |
| C. | 35 cm |
| D. | 25 cm |
| Answer» C. 35 cm | |
| 3833. |
The equation of progressive wave is \[y=0.2\sin 2\pi \left[ \frac{t}{0.01}-\frac{x}{0.3} \right]\], where \[x\] and \[y\] are in metre and \[t\] is in second. The velocity of propagation of the wave is [KCET 2000] |
| A. | 30 m/s |
| B. | 40 m/s |
| C. | 300 m/s |
| D. | 400 m/s |
| Answer» B. 40 m/s | |
| 3834. |
The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is \[{{90}^{o}}\]. Then the velocity of wave will be [MH CET 1999] |
| A. | 192 m/s |
| B. | 360 m/s |
| C. | 710 m/s |
| D. | 384 m/s |
| Answer» E. | |
| 3835. |
Two waves of frequencies 20 Hz and 30 Hz. Travels out from a common point. The phase difference between them after 0.6 sec is [JIPMER 1999] |
| A. | Zero |
| B. | \[\frac{\pi }{2}\] |
| C. | \[\pi \] |
| D. | \[\frac{3\pi }{4}\] |
| Answer» B. \[\frac{\pi }{2}\] | |
| 3836. |
Progressive wave of sound is represented by \[y=a\sin [400\pi \,t-\pi x/6.85]\] where \[x\] is in \[m\] and \[t\] is in sec. Frequency of the wave will be [RPMT 1999] |
| A. | 200 Hz |
| B. | 400 Hz |
| C. | 500 Hz |
| D. | 600 Hz |
| Answer» B. 400 Hz | |
| 3837. |
Equation of the progressive wave is given by : \[y=a\sin \pi (40t-x)\] where \[a\] and \[x\] are in metre and \[t\] in second. The velocity of the wave is [KCET 1999] |
| A. | 80 m/s |
| B. | 10 m/s |
| C. | 40 m/s |
| D. | 20 m/s |
| Answer» D. 20 m/s | |
| 3838. |
The wave equation is \[y=0.30\sin (314t-1.57x)\] where t, x and y are in second, meter and centimeter respectively. The speed of the wave is [CPMT 1997; AFMC 1999; CPMT 2001] |
| A. | 100 m/s |
| B. | 200 m/s |
| C. | 300 m/s |
| D. | 400 m/s |
| Answer» C. 300 m/s | |
| 3839. |
The equation of a travelling wave is \[y=60\cos (1800t-6x)\] where y is in microns, t in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is [CBSE PMT 1997; JIPMER 2001, 02] |
| A. | \[3.6\times {{10}^{-11}}\] |
| B. | \[3.6\times {{10}^{-6}}\] |
| C. | \[3.6\times {{10}^{-4}}\] |
| D. | 3.6 |
| Answer» D. 3.6 | |
| 3840. |
A pulse or a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with [CBSE PMT 1997] |
| A. | The same phase as the incident pulse but with velocity reversed |
| B. | A phase change of 180° with no reversal of velocity |
| C. | The same phase as the incident pulse with no reversal of velocity |
| D. | A phase change of 180° with velocity reversed |
| Answer» E. | |
| 3841. |
The equation of a sound wave is \[y=0.0015\sin (62.4x+316\,t)\] The wavelength of this wave is [CBSE PMT 1996; AFMC 2002; AIIMS 2002] |
| A. | 0.2 unit |
| B. | 0.1 unit |
| C. | 0.3 unit |
| D. | Cannot be calculated |
| Answer» C. 0.3 unit | |
| 3842. |
The equation of a transverse wave is given by \[y=100\,\sin \pi (0.04z-2t)\] where y and z are in cm ant t is in seconds. The frequency of the wave in Hz is [SCRA 1998] |
| A. | 1 |
| B. | 2 |
| C. | 25 |
| D. | 100 |
| Answer» B. 2 | |
| 3843. |
The equation of a plane progressive wave is given by \[y=0.025\sin (100t+0.25x)\]. The frequency of this wave would be [CPMT 1993; JIPMER 2001, 02] |
| A. | \[\frac{50}{\pi }Hz\] |
| B. | \[\frac{100}{\pi }Hz\] |
| C. | 100 Hz |
| D. | 50 Hz |
| Answer» B. \[\frac{100}{\pi }Hz\] | |
| 3844. |
Which of the following equations represents a wave [CBSE PMT 1994; JIPMER 2000] |
| A. | \[Y=A(\omega \,t-kx)\] |
| B. | \[Y=A\sin \omega \,t\] |
| C. | \[Y=A\cos kx\] |
| D. | \[Y=A\sin (at-bx+c)\] |
| Answer» E. | |
| 3845. |
The frequency of the sinusoidal wave \[y=0.40\cos [2000\,t+0.80\,x]\] would be [CBSE PMT 1992] |
| A. | 1000 p Hz |
| B. | 2000 Hz |
| C. | 20 Hz |
| D. | \[\frac{1000}{\pi }Hz\] |
| Answer» E. | |
| 3846. |
With the propagation of a longitudinal wave through a material medium, the quantities transmitted in the propagation direction are [CBSE PMT 1992; Roorkee 2000] |
| A. | Energy, momentum and mass |
| B. | Energy |
| C. | Energy and mass |
| D. | Energy and linear momentum |
| Answer» E. | |
| 3847. |
Equation of a progressive wave is given by \[y=4\sin \left\{ \pi \left( \frac{t}{5}-\frac{x}{9} \right)+\frac{\pi }{6} \right\}\] Then which of the following is correct [CBSE PMT 1993] |
| A. | \[v=5\,m/\sec \] |
| B. | \[\lambda =18\,m\] |
| C. | \[a=0.04\,m\] |
| D. | \[n=50\,Hz\] |
| Answer» C. \[a=0.04\,m\] | |
| 3848. |
A wave is given by \[y=3\sin 2\pi \left( \frac{t}{0.04}-\frac{x}{0.01} \right)\], where y is in cm. Frequency of wave and maximum acceleration of particle will be [RPET 1997] |
| A. | \[100\,Hz,\ 4.7\times {{10}^{3}}\,cm/{{s}^{2}}\] |
| B. | \[50\,Hz,\ 7.5\times {{10}^{3}}\,cm/{{s}^{2}}\] |
| C. | \[25\,Hz,\ 4.7\times {{10}^{4}}\,cm/{{s}^{2}}\] |
| D. | \[25\,Hz,\ 7.4\times {{10}^{4}}\,cm/{{s}^{2}}\] |
| Answer» E. | |
| 3849. |
The particles of a medium vibrate about their mean positions whenever a wave travels through that medium. The phase difference between the vibrations of two such particles [SCRA 1994] |
| A. | Varies with time |
| B. | Varies with distance separating them |
| C. | Varies with time as well as distance |
| D. | Is always zero |
| Answer» C. Varies with time as well as distance | |
| 3850. |
The equation of a transverse wave is given by \[y=10\sin \pi (0.01x-2t)\] where x and y are in cm and t is in second. Its frequency is [MP PET 1990; MNR 1986; RPET 2003] |
| A. | \[10{{\sec }^{-1}}\] |
| B. | \[2\,{{\sec }^{-1}}\] |
| C. | \[1\,{{\sec }^{-1}}\] |
| D. | \[0.01\,{{\sec }^{-1}}\] |
| Answer» D. \[0.01\,{{\sec }^{-1}}\] | |