MCQOPTIONS
Saved Bookmarks
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.
| 4601. |
The musical interval between two tones of frequencies 320 Hz and 240 Hz is [MP PMT 1992; AFMC 1992] |
| A. | 80 |
| B. | \[\left( \frac{4}{3} \right)\] |
| C. | 560 |
| D. | 320 × 240 |
| Answer» C. 560 | |
| 4602. |
If separation between screen and source is increased by 2% what would be the effect on the intensity [CPMT 2003] |
| A. | Increases by 4% |
| B. | Increases by 2% |
| C. | Decreases by 2% |
| D. | Decreases by 4% |
| Answer» E. | |
| 4603. |
The power of a sound from the speaker of a radio is 20 mW. By turning the knob of the volume control, the power of the sound is increased to 400 mW. The power increase in decibels as compared to the original power is |
| A. | 13 dB |
| B. | 10 dB |
| C. | 20 dB |
| D. | 800 dB |
| Answer» B. 10 dB | |
| 4604. |
In a harmonium the intermediate notes between a note and its octave form [CPMT 1973] |
| A. | An arithmetic progression |
| B. | A geometric progression |
| C. | A harmonic progression |
| D. | An exponential progression |
| Answer» C. A harmonic progression | |
| 4605. |
A musical scale is constructed by providing intermediate frequencies between a note and its octave which [CPMT 1972; NCERT 1980] |
| A. | Form an arithmetic progression |
| B. | Form a geometric progression |
| C. | Bear a simple ratio with their neighbours |
| D. | Form a harmonic progression |
| Answer» D. Form a harmonic progression | |
| 4606. |
The intensity of sound wave while passing through an elastic medium falls down by 10% as it covers one metre distance through the medium. If the initial intensity of the sound wave was 100 decibels, its value after it has passed through 3 metre thickness of the medium will be [CPMT 1988] |
| A. | 70 decibel |
| B. | 72.9 decibel |
| C. | 81 decibel |
| D. | 60 decibel |
| Answer» C. 81 decibel | |
| 4607. |
The intensity of sound from a radio at a distance of 2 metres from its speaker is \[1\times {{0}^{-2}}\mu \ W/{{m}^{2}}.\] The intensity at a distance of 10 meters would be [CPMT 2005] |
| A. | \[0.2\times {{10}^{-2}}\mu \ W/{{m}^{2}}\] |
| B. | \[1\times {{10}^{-2}}\mu \ W/{{m}^{2}}\] |
| C. | \[4\times {{10}^{-4}}\mu \ W/{{m}^{2}}\] |
| D. | \[5\times {{10}^{-2}}\mu \ W/{{m}^{2}}\] |
| Answer» D. \[5\times {{10}^{-2}}\mu \ W/{{m}^{2}}\] | |
| 4608. |
If T is the reverberation time of an auditorium of volume V then [KCET 2003] |
| A. | \[T\propto \frac{1}{V}\] |
| B. | \[T\propto \frac{1}{{{V}^{2}}}\] |
| C. | \[T\propto {{V}^{2}}\] |
| D. | \[T\propto V\] |
| Answer» E. | |
| 4609. |
The loudness and pitch of a sound depends on [KCET 2004; Pb. PET 2003] |
| A. | Intensity and velocity |
| B. | Frequency and velocity |
| C. | Intensity and frequency |
| D. | Frequency and number of harmonics |
| Answer» D. Frequency and number of harmonics | |
| 4610. |
A is singing a note and at the same time B is singing a note with exactly one-eighth the frequency of the note of A. The energies of two sounds are equal, the amplitude of the note of B is [NCERT 1981; AIIMS 2001] |
| A. | Same that of A |
| B. | Twice as that of A |
| C. | Four times as that of A |
| D. | Eight times as that of A |
| Answer» E. | |
| 4611. |
The amplitude of two waves are in ratio 5 : 2. If all other conditions for the two waves are same, then what is the ratio of their energy densities [MH CET 2004] |
| A. | 5 : 2 |
| B. | 10: 4 |
| C. | 2.5 : 1 |
| D. | 25 : 4 |
| Answer» E. | |
| 4612. |
A man \[x\] can hear only upto 10 kHz and another man \[y\] upto 20 kHz. A note of frequency 500 Hz is produced before them from a stretched string. Then [KCET 2002] |
| A. | Both will hear sounds of same pitch but different quality |
| B. | Both will hear sounds of different pitch but same quality |
| C. | Both will hear sounds of different pitch and different quality |
| D. | Both will hear sounds of same pitch and same quality |
| Answer» E. | |
| 4613. |
A spherical source of power 4 W and frequency 800 Hz is emitting sound waves. The intensity of waves at a distance 200 m is [CPMT 1999; JIPMER 2000] |
| A. | \[8\times {{10}^{-6}}\,W/{{m}^{2}}\] |
| B. | \[2\times {{10}^{-4}}\,W/{{m}^{2}}\] |
| C. | \[1\times {{10}^{-4}}\,W/{{m}^{2}}\] |
| D. | \[4\,W/{{m}^{2}}\] |
| Answer» B. \[2\times {{10}^{-4}}\,W/{{m}^{2}}\] | |
| 4614. |
The walls of the halls built for music concerts should [NCERT 1979] |
| A. | Amplify sound |
| B. | Transmit sound |
| C. | Reflect sound |
| D. | Absorb sound |
| Answer» E. | |
| 4615. |
The torque of the force \[\overrightarrow{F}=(2\hat{i}-3\hat{j}+4\hat{k}\,)N\] acting at the point \[\overrightarrow{r\,}=(3\hat{i}+2\hat{j}+3\hat{k})\]m about the origin be [CBSE PMT 1995] |
| A. | \[6\hat{i}-6\hat{j}+12\hat{k}\] |
| B. | \[17\hat{i}-6\hat{j}-13\hat{k}\] |
| C. | \[-6\hat{i}+6\hat{j}-12\hat{k}\] |
| D. | \[-17\hat{i}+6\hat{j}+13\hat{k}\] |
| Answer» C. \[-6\hat{i}+6\hat{j}-12\hat{k}\] | |
| 4616. |
If \[\overrightarrow{A}=3\hat{i}+\hat{j}+2\hat{k}\] and \[\overrightarrow{B}=2\hat{i}-2\hat{j}+4\hat{k}\] then value of \[|\overrightarrow{A}\times \overrightarrow{B}|\,\] will be |
| A. | \[8\sqrt{2}\] |
| B. | \[8\sqrt{3}\] |
| C. | \[8\sqrt{5}\] |
| D. | \[5\sqrt{8}\] |
| Answer» C. \[8\sqrt{5}\] | |
| 4617. |
The angle between the vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is \[\theta .\]The value of the triple product \[\overrightarrow{A}\,.\,(\overrightarrow{B}\times \overrightarrow{A}\,)\] is [CBSE PMT 1991, 2005] |
| A. | \[{{A}^{2}}B\] |
| B. | Zero |
| C. | \[{{A}^{2}}B\sin \theta \] |
| D. | \[{{A}^{2}}B\cos \theta \] |
| Answer» C. \[{{A}^{2}}B\sin \theta \] | |
| 4618. |
If \[\overset{\to }{\mathop{A}}\,\,\times \,\overset{\to }{\mathop{B}}\,\,=\,\overset{\to }{\mathop{B}}\,\,\times \,\overset{\to }{\mathop{A}}\,\] then the angle between A and B is [AIEEE 2004] |
| A. | p / 2\[\] |
| B. | p / 3 |
| C. | p |
| D. | p / 4 |
| Answer» D. p / 4 | |
| 4619. |
If a vector \[\vec{A}\] is parallel to another vector \[\vec{B}\] then the resultant of the vector \[\vec{A}\times \vec{B}\] will be equal to [Pb. CET 1996] |
| A. | A |
| B. | \[\vec{A}\] |
| C. | Zero vector |
| D. | Zero |
| Answer» D. Zero | |
| 4620. |
A force \[\vec{F}=(5\hat{i}+3\hat{j})\ N\]is applied over a particle which displaces it from its original position to the point \[\vec{s}=(2\hat{i}-1\hat{j})\]m. The work done on the particle is [BHU 2001] |
| A. | + 11 J |
| B. | + 7 J |
| C. | + 13 J |
| D. | ? 7 J |
| Answer» C. + 13 J | |
| 4621. |
A force \[\vec{F}=3\hat{i}+c\hat{j}+2\hat{k}\] acting on a particle causes a displacement \[\vec{S}=-4\hat{i}+2\hat{j}-3\hat{k}\] in its own direction. If the work done is 6J, then the value of c will be [DPMT 1997] |
| A. | 12 |
| B. | 6 |
| C. | 1 |
| D. | 0 |
| Answer» B. 6 | |
| 4622. |
Dot product of two mutual perpendicular vector is [Haryana CEET 2002] |
| A. | 0 |
| B. | 1 |
| C. | ¥ |
| D. | None of these |
| Answer» B. 1 | |
| 4623. |
What is the value of linear velocity, if \[\vec{\omega }=3\hat{i}-4\hat{j}+\hat{k}\] and \[\vec{r}=5\hat{i}-6\hat{j}+6\hat{k}\] [CBSE PMT 1999; CPMT 1999, 2001; Pb. PMT 2000; Pb. CET 2000] |
| A. | \[6\hat{i}-2\hat{j}+3\hat{k}\] |
| B. | \[6\hat{i}-2\hat{j}+8\hat{k}\] |
| C. | \[4\hat{i}-13\hat{j}+6\hat{k}\] |
| D. | \[-18\hat{i}-13\hat{j}+2\hat{k}\] |
| Answer» E. | |
| 4624. |
The position vectors of radius are \[2\hat{i}+\hat{j}+\hat{k}\] and \[2\hat{i}-3\hat{j}+\hat{k}\] while those of linear momentum are \[2\hat{i}+3\hat{j}-\hat{k}.\] Then the angular momentum is [BHU 1997] |
| A. | \[2\hat{i}-4\hat{k}\] |
| B. | \[4\hat{i}-8\hat{k}\] |
| C. | \[2\hat{i}-4\hat{j}+2\hat{k}\] |
| D. | \[4\hat{i}-8\hat{k}\] |
| Answer» C. \[2\hat{i}-4\hat{j}+2\hat{k}\] | |
| 4625. |
If for two vector \[\overrightarrow{A}\] and \[\overrightarrow{B}\], sum \[(\overrightarrow{A}+\overrightarrow{B})\] is perpendicular to the difference \[(\overrightarrow{A}-\overrightarrow{B})\]. The ratio of their magnitude is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | None of these |
| Answer» B. 2 | |
| 4626. |
Two adjacent sides of a parallelogram are represented by the two vectors \[\hat{i}+2\hat{j}+3\hat{k}\] and \[3\hat{i}-2\hat{j}+\hat{k}\]. What is the area of parallelogram [AMU 1997] |
| A. | 8 |
| B. | \[8\sqrt{3}\] |
| C. | \[3\sqrt{8}\] |
| D. | 192 |
| Answer» B. \[8\sqrt{3}\] | |
| 4627. |
If \[\vec{A}\] and \[\vec{B}\] are perpendicular vectors and vector \[\vec{A}=5\hat{i}+7\hat{j}-3\hat{k}\] and \[\vec{B}=2\hat{i}+2\hat{j}-a\hat{k}.\] The value of a is [EAMCET 1991] |
| A. | ? 2 |
| B. | 8 |
| C. | ? 7 |
| D. | ? 8 |
| Answer» E. | |
| 4628. |
The value of \[(\overrightarrow{A}+\overrightarrow{B})\,\times (\overrightarrow{A}-\overrightarrow{B})\] is [RPET 1991, 2002; BHU 2002] |
| A. | 0 |
| B. | \[{{A}^{2}}-{{B}^{2}}\] |
| C. | \[\overrightarrow{B}\times \overrightarrow{A}\] |
| D. | \[2(\overrightarrow{B}\times \overrightarrow{A})\] |
| Answer» E. | |
| 4629. |
Two vector A and B have equal magnitudes. Then the vector A + B is perpendicular to |
| A. | \[A\times B\] |
| B. | A ? B |
| C. | 3A ? 3B |
| D. | All of these |
| Answer» B. A ? B | |
| 4630. |
The area of the parallelogram whose sides are represented by the vectors \[\hat{j}+3\hat{k}\] and \[\hat{i}+2\hat{j}-\hat{k}\] is |
| A. | \[\sqrt{61}\]sq. unit |
| B. | \[\sqrt{59}\]sq. unit |
| C. | \[\sqrt{49}\]sq. unit |
| D. | \[\sqrt{52}\]sq. unit |
| Answer» C. \[\sqrt{49}\]sq. unit | |
| 4631. |
The position of a particle is given by \[\overrightarrow{r}=(\overrightarrow{i}+2\overrightarrow{j}-\overrightarrow{k})\] momentum \[\overrightarrow{P}=(3\overrightarrow{i}+4\overrightarrow{j}-2\overrightarrow{k}).\]The angular momentum is perpendicular to [EAMCET (Engg.) 1998] |
| A. | x-axis |
| B. | y-axis |
| C. | z-axis |
| D. | Line at equal angles to all the three axes |
| Answer» B. y-axis | |
| 4632. |
Three vectors \[\overrightarrow{a},\,\overrightarrow{b}\]and \[\overrightarrow{c}\] satisfy the relation \[\overrightarrow{a}\,.\,\overrightarrow{b}=0\] and \[\overrightarrow{a}\,.\,\overrightarrow{c}=0.\] The vector \[\overrightarrow{a}\] is parallel to [AIIMS 1996] |
| A. | \[\overrightarrow{b}\] |
| B. | \[\overrightarrow{c}\] |
| C. | \[\overrightarrow{b}\,.\,\overrightarrow{c}\] |
| D. | \[\overrightarrow{b}\times \overrightarrow{c}\] |
| Answer» E. | |
| 4633. |
The linear velocity of a rotating body is given by \[\overrightarrow{v}=\overrightarrow{\omega }\times \overrightarrow{r},\]where \[\overrightarrow{\omega }\] is the angular velocity and \[\overrightarrow{r}\] is the radius vector. The angular velocity of a body is \[\overrightarrow{\omega }=\hat{i}-2\hat{j}+2\hat{k}\] and the radius vector \[\overrightarrow{r}=4\hat{j}-3\hat{k},\] then \[|\overrightarrow{v}|\] is |
| A. | \[\sqrt{29}\]units |
| B. | \[\sqrt{31}\]units |
| C. | \[\sqrt{37}\]units |
| D. | \[\sqrt{41}\]units |
| Answer» B. \[\sqrt{31}\]units | |
| 4634. |
A particle moves from position \[3\hat{i}+2\hat{j}-6\hat{k}\] to \[14\hat{i}+13\hat{j}+9\hat{k}\] due to a uniform force of \[(4\hat{i}+\hat{j}+3\hat{k})\,N.\] If the displacement in meters then work done will be [CMEET 1995; Pb. PMT 2002, 03] |
| A. | 100 J |
| B. | 200 J |
| C. | 300 J |
| D. | 250 J |
| Answer» B. 200 J | |
| 4635. |
If \[|\overrightarrow{A}\times \overrightarrow{B}|\,=\,|\overrightarrow{A}\,.\,\overrightarrow{B}|,\] then angle between \[\overrightarrow{A}\]and \[\overrightarrow{B}\] will be [AIIMS 2000; Manipal 2000] |
| A. | \[\text{3}0{}^\circ \] |
| B. | \[\text{45}{}^\circ \] |
| C. | \[\text{6}0{}^\circ \] |
| D. | \[\text{9}0{}^\circ \] |
| Answer» C. \[\text{6}0{}^\circ \] | |
| 4636. |
If force \[(\overrightarrow{F})=4\hat{i}+5\hat{j}\]and displacement \[(\overrightarrow{s})=3\hat{i}+6\hat{k}\] then the work done is [Manipal 1995] |
| A. | \[4\times 3\] |
| B. | \[5\times 6\] |
| C. | \[6\times 3\] |
| D. | \[4\times 6\] |
| Answer» B. \[5\times 6\] | |
| 4637. |
The position vectors of points A, B, C and D are \[A=3\hat{i}+4\hat{j}+5\hat{k},\,\,B=4\hat{i}+5\hat{j}+6\hat{k},\,\,C=7\hat{i}+9\hat{j}+3\hat{k}\] and \[D=4\hat{i}+6\hat{j}\] then the displacement vectors AB and CD are |
| A. | Perpendicular |
| B. | Parallel |
| C. | Antiparallel |
| D. | Inclined at an angle of \[\text{6}0{}^\circ \] |
| Answer» E. | |
| 4638. |
. Angle between the vectors \[(\hat{i}+\hat{j})\] and \[(\hat{j}-\hat{k})\] is |
| A. | 90° |
| B. | 0° |
| C. | 180° |
| D. | 60° |
| Answer» E. | |
| 4639. |
The angle between two vectors given by \[6\bar{i}+6\bar{j}-3\bar{k}\] and \[7\overline{i}+4\overline{j}+4\overline{k}\] is [EAMCET (Engg.) 1999] |
| A. | \[{{\cos }^{-1}}\left( \frac{1}{\sqrt{3}} \right)\] |
| B. | \[{{\cos }^{-1}}\left( \frac{5}{\sqrt{3}} \right)\] |
| C. | \[{{\sin }^{-1}}\left( \frac{2}{\sqrt{3}} \right)\] |
| D. | \[{{\sin }^{-1}}\left( \frac{\sqrt{5}}{3} \right)\] |
| Answer» E. | |
| 4640. |
Let \[\overrightarrow{A}=\hat{i}A\,\cos \theta +\hat{j}A\,\sin \theta \] be any vector. Another vector \[\overrightarrow{B}\] which is normal to A is [BHU 1997] |
| A. | \[\hat{i}\,B\,\cos \theta +j\,B\sin \theta \] |
| B. | \[\hat{i}\,B\,\sin \theta +j\,B\cos \theta \] |
| C. | \[\hat{i}\,B\,\sin \theta -j\,B\cos \theta \] |
| D. | \[\hat{i}\,B\,\cos \theta -j\,B\sin \theta \] |
| Answer» D. \[\hat{i}\,B\,\cos \theta -j\,B\sin \theta \] | |
| 4641. |
The resultant of the two vectors having magnitude 2 and 3 is 1. What is their cross product |
| A. | 6 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 4642. |
What is the angle between \[(\overrightarrow{P}+\overrightarrow{Q})\] and \[(\overrightarrow{P}\times \overrightarrow{Q})\] |
| A. | 0 |
| B. | \[\frac{\pi }{2}\] |
| C. | \[\frac{\pi }{4}\] |
| D. | \[\pi \] |
| Answer» C. \[\frac{\pi }{4}\] | |
| 4643. |
A body, acted upon by a force of 50 N is displaced through a distance 10 meter in a direction making an angle of 60° with the force. The work done by the force be |
| A. | 200 J |
| B. | 100 J |
| C. | 300 |
| D. | 250 J |
| Answer» E. | |
| 4644. |
If for two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B},\overrightarrow{A}\times \overrightarrow{B}=0,\]the vectors |
| A. | Are perpendicular to each other |
| B. | Are parallel to each other |
| C. | Act at an angle of 60° |
| D. | Act at an angle of 30° |
| Answer» C. Act at an angle of 60° | |
| 4645. |
The angle between vectors \[(\overrightarrow{\text{A}}\times \overrightarrow{\text{B}})\] and \[(\overrightarrow{\text{B}}\times \overrightarrow{\text{A}})\] is |
| A. | Zero |
| B. | p |
| C. | \[\pi /4\] |
| D. | \[\pi /2\] |
| Answer» C. \[\pi /4\] | |
| 4646. |
A vector \[{{\overrightarrow{F}}_{1}}\]is along the positive X-axis. If its vector product with another vector \[{{\overrightarrow{F}}_{2}}\]is zero then \[{{\overrightarrow{F}}_{2}}\] could be [MP PMT 1987] |
| A. | \[4\hat{j}\] |
| B. | \[-(\hat{i}+\hat{j})\] |
| C. | \[(\hat{j}+\hat{k})\] |
| D. | \[(-4\hat{i})\] |
| Answer» E. | |
| 4647. |
A particle moves in the x-y plane under the action of a force \[\overrightarrow{F}\] such that the value of its linear momentum \[(\overrightarrow{P})\] at anytime t is \[{{P}_{x}}=2\cos t,\,{{p}_{y}}=2\sin t.\]The angle \[\theta \]between \[\overrightarrow{F}\] and \[\overrightarrow{P}\] at a given time t. will be [MNR 1991; UPSEAT 2000] |
| A. | \[\theta =0{}^\circ \] |
| B. | \[\theta =30{}^\circ \] |
| C. | \[\theta =90{}^\circ \] |
| D. | \[\theta =180{}^\circ \] |
| Answer» D. \[\theta =180{}^\circ \] | |
| 4648. |
A body, constrained to move in the Y-direction is subjected to a force given by \[\overrightarrow{F}=(-2\hat{i}+15\hat{j}+6\hat{k})\,N.\] What is the work done by this force in moving the body a distance 10 m along the Y-axis [CBSE PMT 1994] |
| A. | 20 J |
| B. | 150 J |
| C. | 160 J |
| D. | 190 J |
| Answer» C. 160 J | |
| 4649. |
The vector \[\overrightarrow{P}=a\hat{i}+a\hat{j}+3\hat{k}\] and \[\overrightarrow{Q}=a\hat{i}-2\hat{j}-\hat{k}\] are perpendicular to each other. The positive value of a is [AFMC 2000; AIIMS 2002] |
| A. | 3 |
| B. | 4 |
| C. | 9 |
| D. | 13 |
| Answer» B. 4 | |
| 4650. |
The angle between the two vectors \[\overrightarrow{A}=5\hat{i}+5\hat{j}\] and \[\overrightarrow{B}=5\hat{i}-5\hat{j}\]will be [CPMT 2000] |
| A. | Zero |
| B. | \[45{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[180{}^\circ \] |
| Answer» D. \[180{}^\circ \] | |