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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.
| 11101. |
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 | |
| 11102. |
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. \[\sqrt{2}a\cos \theta /2\] | |
| 11103. |
When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations about their mean positions. These oscillations of a particle are characterised by an invariant [SCRA 1998] |
| A. | Kinetic energy |
| B. | Potential energy |
| C. | Sum of kinetic energy and potential energy |
| D. | Difference between kinetic energy and potential energy |
| Answer» D. Difference between kinetic energy and potential energy | |
| 11104. |
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. | |
| 11105. |
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. \[\lambda ={{10}^{-3}}\,m\] | |
| 11106. |
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 | |
| 11107. |
In a plane progressive wave given by \[y=25\cos (2\pi t-\pi x)\], the amplitude and frequency are respectively [BCECE 2003] |
| A. | 25100 |
| B. | 25, 1 |
| C. | 25, 2 |
| D. | \[50\pi ,\,\] 2 |
| Answer» C. 25, 2 | |
| 11108. |
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 | |
| 11109. |
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 | |
| 11110. |
The equation of a progressive wave is \[y=8\sin \left[ \pi \left( \frac{t}{10}-\frac{x}{4} \right)+\frac{\pi }{3} \right]\]. The wavelength of the wave is [MH CET 2002] |
| A. | 8 m |
| B. | 4 m |
| C. | 2 m |
| D. | 10 m |
| Answer» B. 4 m | |
| 11111. |
The equation of a wave motion (with \[t\] in seconds and \[x\] in metres) is given by \[y=7\sin \,\left[ 7\pi t-0.4\pi x+\frac{\pi }{3} \right]\]. The velocity of the wave will be [BHU 2002] |
| A. | 17.5 m/s |
| B. | \[49\pi \] m/s |
| C. | \[\frac{49}{2\pi }m/s\] |
| D. | \[\frac{2\pi }{49}m/s\] |
| Answer» B. \[49\pi \] m/s | |
| 11112. |
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. \[y=0.2\sin \,\left[ \pi \left( 6t-\frac{x}{60} \right) \right]\] | |
| 11113. |
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. | |
| 11114. |
A transverse wave is given by \[y=A\sin 2\pi \left( \frac{t}{T}-\frac{x}{\lambda } \right)\]. The maximum particle velocity is equal to 4 times the wave velocity when [MP PMT 2001] |
| A. | \[\lambda =2\pi A\] |
| B. | \[\lambda =\frac{1}{2}\pi A\] |
| C. | \[\lambda =\pi A\] |
| D. | \[\lambda =\frac{1}{4}\pi A\] |
| Answer» C. \[\lambda =\pi A\] | |
| 11115. |
A wave is represented by the equation \[y=7\sin \{\pi (2t-2x)\}\] where \[x\] is in metres and \[t\] in seconds. The velocity of the wave is [CPMT 2000; CBSE PMT 2000; Pb. PET 2000] |
| A. | 1 m/s |
| B. | 2 m/s |
| C. | 5 m/s |
| D. | 10 m/s |
| Answer» B. 2 m/s | |
| 11116. |
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 | |
| 11117. |
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 | |
| 11118. |
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. | |
| 11119. |
At a moment in a progressive wave, the phase of a particle executing S.H.M. is \[\frac{\pi }{3}\]. Then the phase of the particle 15 cm ahead and at the time \[\frac{T}{2}\] will be, if the wavelength is 60 cm |
| A. | \[\frac{\pi }{2}\] |
| B. | \[\frac{2\pi }{3}\] |
| C. | Zero |
| D. | \[\frac{5\pi }{6}\] |
| Answer» E. | |
| 11120. |
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. \[0.01\,{{\sec }^{-1}}\] | |
| 11121. |
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. | |
| 11122. |
In the given progressive wave equation, what is the maximum velocity of particle\[Y=0.5\sin (10\pi t-5x)\]cm [BHU 1997] |
| A. | 5 cm/s |
| B. | 5p cm/s |
| C. | 10 cm/s |
| D. | 10.5 cm/s |
| Answer» C. 10 cm/s | |
| 11123. |
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 | |
| 11124. |
A wave travels in a medium according to the equation of displacement given by \[y(x,\,t)=0.03\sin \pi (2t-0.01x)\] where y and x are in metres and t in seconds. The wavelength of the wave is [EAMCET 1994; CPMT 2004] |
| A. | 200 m |
| B. | 100 m |
| C. | 20 m |
| D. | 10 m |
| Answer» B. 100 m | |
| 11125. |
A travelling wave in a stretched string is described by the equation\[y=A\sin (kx-\omega t)\]. The maximum particle velocity is [IIT 1997 Re-Exam; UPSEAT 2004] |
| A. | Aw |
| B. | w/k |
| C. | dw/dk |
| D. | x/t |
| Answer» B. w/k | |
| 11126. |
A transverse wave is represented by the equation \[y={{y}_{0}}\sin \frac{2\pi }{\lambda }(vt-x)\] For what value of l, the maximum particle velocity equal to two times the wave velocity [CBSE PMT 1998; JIPMER 2001, 02; AFMC 2002] |
| A. | \[\lambda =2\pi {{y}_{0}}\] |
| B. | \[\lambda =\pi {{y}_{0}}/3\] |
| C. | \[\lambda =\pi {{y}_{0}}/2\] |
| D. | \[\lambda =\pi {{y}_{0}}\] |
| Answer» E. | |
| 11127. |
In open organ pipe, if fundamental frequency is n then the other frequencies are [BCECE 2005] |
| A. | n, 2n, 3n, 4n |
| B. | n, 3n, 5n |
| C. | n, 2n, 4n, 8n |
| D. | None of these |
| Answer» B. n, 3n, 5n | |
| 11128. |
In a resonance tube the first resonance with a tuning fork occurs at 16 cm and second at 49 cm. If the velocity of sound is 330 m/s, the frequency of tuning fork is [DPMT 2002] |
| A. | 500 |
| B. | 300 |
| C. | 330 |
| D. | 165 |
| Answer» B. 300 | |
| 11129. |
Two closed organ pipes of length 100 cm and 101 cm 16 beats in 20 sec. When each pipe is sounded in its fundamental mode calculate the velocity of sound [AFMC 2003] |
| A. | 303 ms?1 |
| B. | 332 ms?1 |
| C. | 323.2 ms?1 |
| D. | 300 ms?1 |
| Answer» D. 300 ms?1 | |
| 11130. |
On producing the waves of frequency 1000 Hz in a Kundt's tube, the total distance between 6 successive nodes is 85 cm. Speed of sound in the gas filled in the tube is [AFMC 1999] |
| A. | 330 m/s |
| B. | 340 m/s |
| C. | 350 m/s |
| D. | 300 m/s |
| Answer» C. 350 m/s | |
| 11131. |
What is the base frequency if a pipe gives notes of frequencies 425, 255 and 595 and decide whether it is closed at one end or open at both ends [UPSEAT 2001] |
| A. | 17, closed |
| B. | 85, closed |
| C. | 17, open |
| D. | 85, open |
| Answer» C. 17, open | |
| 11132. |
In a closed organ pipe the frequency of fundamental note is 50 Hz. The note of which of the following frequencies will not be emitted by it [J & K CET 2000] |
| A. | 50 Hz |
| B. | 100 Hz |
| C. | 150 Hz |
| D. | None of the above |
| Answer» C. 150 Hz | |
| 11133. |
Fundamental frequency of an open pipe of length 0.5 m is equal to the frequency of the first overtone of a closed pipe of length l. The value of lc is (m) [KCET 1999] |
| A. | 1.5 |
| B. | 0.75 |
| C. | 2 |
| D. | 1 |
| Answer» C. 2 | |
| 11134. |
Fundamental frequency of pipe is 100 Hz and other two frequencies are 300 Hz and 500 Hz then [RPMT 1998, 2003; CPMT 2001] |
| A. | Pipe is open at both the ends |
| B. | Pipe is closed at both the ends |
| C. | One end open and another end is closed |
| D. | None of the above |
| Answer» D. None of the above | |
| 11135. |
An open pipe of length l vibrates in fundamental mode. The pressure variation is maximum at [EAMCET (Med.) 1999] |
| A. | 1/4 from ends |
| B. | The middle of pipe |
| C. | The ends of pipe |
| D. | At 1/8 from ends of pipe middle of the pipe |
| Answer» C. The ends of pipe | |
| 11136. |
Standing stationary waves can be obtained in an air column even if the interfering waves are [CPMT 1972] |
| A. | Of different pitches |
| B. | Of different amplitudes |
| C. | Of different qualities |
| D. | Moving with different velocities |
| Answer» C. Of different qualities | |
| 11137. |
Apparatus used to find out the velocity of sound in gas is [AFMC 2004] |
| A. | Melde?s apparatus |
| B. | Kundt?s tube |
| C. | Quincke?s tube |
| D. | None of these |
| Answer» C. Quincke?s tube | |
| 11138. |
Two open organ pipes of length 25 cm and 25.5 cm produce 10 beat/sec. The velocity of sound will be [Pb. PMT 2004] |
| A. | 255 m/s |
| B. | 250 m/s |
| C. | 350 m/s |
| D. | None of these |
| Answer» B. 250 m/s | |
| 11139. |
If the temperature increases, then what happens to the frequency of the sound produced by the organ pipe [RPET 1996; DPMT 2000; RPMT 2001] |
| A. | Increases |
| B. | Decreases |
| C. | Unchanged |
| D. | Not definite |
| Answer» B. Decreases | |
| 11140. |
If fundamental frequency of closed pipe is 50 Hz then frequency of 2nd overtone is [AFMC 2004] |
| A. | 100 Hz |
| B. | 50 Hz |
| C. | 250 Hz |
| D. | 150 Hz |
| Answer» D. 150 Hz | |
| 11141. |
The frequency of fundamental tone in an open organ pipe of length 0.48 m is 320 Hz. Speed of sound is 320 m/sec. Frequency of fundamental tone in closed organ pipe will be [MP PMT 2003] |
| A. | 153.8 Hz |
| B. | 160.0 Hz |
| C. | 320.0 Hz |
| D. | 143.2 Hz |
| Answer» C. 320.0 Hz | |
| 11142. |
An open pipe resonates with a tuning fork of frequency 500 Hz. it is observed that two successive nodes are formed at distances 16 and 46 cm from the open end. The speed of sound in air in the pipe is [Orissa JEE 2003] |
| A. | 230 m/s |
| B. | 300 m/s |
| C. | 320 m/s |
| D. | 360 m/s |
| Answer» C. 320 m/s | |
| 11143. |
A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of lengths [BHU 2003; Kerala 2005] |
| A. | 1 : 2 |
| B. | 2 : 1 |
| C. | 2 : 3 |
| D. | 4 : 3 |
| Answer» B. 2 : 1 | |
| 11144. |
Two closed pipe produce 10 beats per second when emitting their fundamental nodes. If their length are in ratio of 25 : 26. Then their fundamental frequency in Hz, are [MH CET 2002] |
| A. | 270, 280 |
| B. | 260, 270 |
| C. | 260, 250 |
| D. | 260, 280 |
| Answer» D. 260, 280 | |
| 11145. |
A resonance air column of length 20 cm resonates with a tuning fork of frequency 250 Hz. The speed of sound in air is [AFMC 1999; BHU 2000; CPMT 2001] |
| A. | 300 m/s |
| B. | 200 m/s |
| C. | 150 m/s |
| D. | 75 m/s |
| Answer» C. 150 m/s | |
| 11146. |
An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and another pipe \[{{P}_{2}}\] open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of \[{{P}_{1}}\] and \[{{P}_{2}}\] is [EAMCET 1997; MH CET 1999; AFMC 2001] |
| A. | 1 : 2 |
| B. | 1 : 3 |
| C. | 3 : 8 |
| D. | 3 : 4 |
| Answer» D. 3 : 4 | |
| 11147. |
If the velocity of sound in air is 336 m/s. The maximum length of a closed pipe that would produce a just audible sound will be [KCET 2001] |
| A. | 3.2 cm |
| B. | 4.2 m |
| C. | 4.2 cm |
| D. | 3.2 m |
| Answer» C. 4.2 cm | |
| 11148. |
Two waves having sinusoidal waveforms have different wavelengths and different amplitude. They will be having [BHU 2005] |
| A. | Same pitch and different intensity |
| B. | Same quality and different intensity |
| C. | Different quality and different intensity |
| D. | Same quality and different pitch |
| Answer» B. Same quality and different intensity | |
| 11149. |
Quality depends on [AFMC 2003] |
| A. | Intensity |
| B. | Loudness |
| C. | Timbre |
| D. | Frequency |
| Answer» E. | |
| 11150. |
Vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through 8.75 cm, the intensity of sound changes from a maximum to minimum. If the speed of sound is 350 m/s. Then n is |
| A. | 500 Hz |
| B. | 1000 Hz |
| C. | 2000 Hz |
| D. | 4000 Hz |
| Answer» C. 2000 Hz | |