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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.
| 5951. |
If the ratio of amplitude of wave is 2 : 1, then the ratio of maximum and minimum intensity is [MH CET 1999] |
| A. | 9 : 1 |
| B. | 1 : 9 |
| C. | 4 : 1 |
| D. | 1 : 4 |
| Answer» B. 1 : 9 | |
| 5952. |
Two waves \[{{y}_{1}}={{A}_{1}}\sin (\omega t-{{\beta }_{1}})\], \[{{y}_{2}}={{A}_{2}}\sin (\omega t-{{\beta }_{2}})\] Superimpose to form a resultant wave whose amplitude is [CPMT 1999] |
| A. | \[\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\cos ({{\beta }_{1}}-{{\beta }_{2}})}\] |
| B. | \[\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\sin ({{\beta }_{1}}-{{\beta }_{2}})}\] |
| C. | \[{{A}_{1}}+{{A}_{2}}\] |
| D. | \[|{{A}_{1}}+{{A}_{2}}|\] |
| Answer» B. \[\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\sin ({{\beta }_{1}}-{{\beta }_{2}})}\] | |
| 5953. |
The displacement of a particle is given by \[x=3\sin (5\pi \,t)+4\cos (5\pi \,t)\] The amplitude of the particle is [MP PMT 1999] |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 5954. |
The superposing waves are represented by the following equations : \[{{y}_{1}}=5\sin 2\pi (10\,t-0.1x)\], \[{{y}_{2}}=10\sin 2\pi (20\,t-0.2x)\] Ratio of intensities \[\frac{{{I}_{\max }}}{{{I}_{\min }}}\] will be [AIIMS 1995; KCET 2001] |
| A. | 1 |
| B. | 9 |
| C. | 4 |
| D. | 16 |
| Answer» C. 4 | |
| 5955. |
Two waves of same frequency and intensity superimpose with each other in opposite phases, then after superposition the [AFMC 1995] |
| A. | Intensity increases by 4 times |
| B. | Intensity increases by two times |
| C. | Frequency increases by 4 times |
| D. | None of these |
| Answer» E. | |
| 5956. |
Out of the given four waves (1), (2), (3) and (4) \[y=a\sin (kx+\omega t)\] ......(1) \[y=a\sin (\omega t-kx)\] ......(2) \[y=a\cos (kx+\omega t)\] ......(3) \[y=a\cos (\omega t-kx)\] ......(4) emitted by four different sources \[{{S}_{1}},\,{{S}_{2}},\,{{S}_{3}}\] and \[{{S}_{4}}\] respectively, interference phenomena would be observed in space under appropriate conditions when [CPMT 1988] |
| A. | Source \[{{S}_{1}}\] emits wave (1) and \[{{S}_{2}}\] emits wave (2) |
| B. | Source \[{{S}_{3}}\] emits wave (3) and \[{{S}_{4}}\] emits wave (4) |
| C. | Source \[{{S}_{2}}\] emits wave (2) and \[{{S}_{4}}\] emits wave (4) |
| D. | \[{{S}_{4}}\] emits waves (4) and \[{{S}_{3}}\] emits waves (3) |
| Answer» D. \[{{S}_{4}}\] emits waves (4) and \[{{S}_{3}}\] emits waves (3) | |
| 5957. |
The intensity ratio of two waves is 1 : 16. The ratio of their amplitudes is [EAMCET 1983] |
| A. | 1 : 16 |
| B. | 1 : 4 |
| C. | 4 : 1 |
| D. | 2 : 1 |
| Answer» C. 4 : 1 | |
| 5958. |
Two sound waves (expressed in CGS units) given by \[{{y}_{1}}=0.3\sin \frac{2\pi }{\lambda }(vt-x)\] and \[{{y}_{2}}=0.4\sin \frac{2\pi }{\lambda }(vt-x+\theta )\] interfere. The resultant amplitude at a place where phase difference is \[\pi /2\] will be [MP PET 1991] |
| A. | 0.7 cm |
| B. | 0.1 cm |
| C. | 0.5 cm |
| D. | \[\frac{1}{10}\sqrt{7}\,cm\] |
| Answer» D. \[\frac{1}{10}\sqrt{7}\,cm\] | |
| 5959. |
If two waves having amplitudes 2A and A and same frequency and velocity, propagate in the same direction in the same phase, the resulting amplitude will be [MP PET 1991; DPMT 1999] |
| A. | 3A |
| B. | \[\sqrt{5}A\] |
| C. | \[\sqrt{2}A\] |
| D. | A |
| Answer» B. \[\sqrt{5}A\] | |
| 5960. |
The minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when |
| A. | Two sources are vibrating in opposite phase |
| B. | The amplitude of two sources are equal |
| C. | At the point of observation, the amplitudes of two S.H.M. produced by two sources are equal and both the S.H.M. are along the same straight line |
| D. | Both the sources are in the same phase |
| Answer» D. Both the sources are in the same phase | |
| 5961. |
When two sound waves with a phase difference of \[\pi /2\], and each having amplitude A and frequency \[\omega \], are superimposed on each other, then the maximum amplitude and frequency of resultant wave is [MP PMT 1989] |
| A. | \[\frac{A}{\sqrt{2}}:\frac{\omega }{2}\] |
| B. | \[\frac{A}{\sqrt{2}}:\omega \] |
| C. | \[\sqrt{2}\,A:\frac{\omega }{2}\] |
| D. | \[\sqrt{2}\,A:\omega \] |
| Answer» E. | |
| 5962. |
There is a destructive interference between the two waves of wavelength l coming from two different paths at a point. To get maximum sound or constructive interference at that point, the path of one wave is to be increased by [MP PET 1985] |
| A. | \[\frac{\lambda }{4}\] |
| B. | \[\frac{\lambda }{2}\] |
| C. | \[\frac{3\lambda }{4}\] |
| D. | \[\lambda \] |
| Answer» C. \[\frac{3\lambda }{4}\] | |
| 5963. |
An aeroplane flying 490 m above ground level at 100 m/s, releases a block. How far on ground will it strike [RPMT 2000] |
| A. | 0.1 km |
| B. | 1 km |
| C. | 2 km |
| D. | None |
| Answer» C. 2 km | |
| 5964. |
An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is [CPMT 1996; JIPMER 2001, 02] |
| A. | 1200 m |
| B. | 0.33 km |
| C. | 3.33 km |
| D. | 33 km |
| Answer» D. 33 km | |
| 5965. |
A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be [RPET 1997] |
| A. | Parabolic |
| B. | Inclined straight line |
| C. | Vertical straight line |
| D. | Horizontal straight line |
| Answer» D. Horizontal straight line | |
| 5966. |
A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb [EAMCET (Med.) 1995; AFMC 1999] |
| A. | Falls to earth exactly below the aeroplane |
| B. | Fall to earth behind the aeroplane |
| C. | Falls to earth ahead of the aeroplane |
| D. | Flies with the aeroplane |
| Answer» C. Falls to earth ahead of the aeroplane | |
| 5967. |
An aeroplane is flying at a constant horizontal velocity of 600 km/hr at an elevation of 6 km towards a point directly above the target on the earth's surface. At an appropriate time, the pilot releases a ball so that it strikes the target at the earth. The ball will appear to be falling [MP PET 1993] |
| A. | On a parabolic path as seen by pilot in the plane |
| B. | Vertically along a straight path as seen by an observer on the ground near the target |
| C. | On a parabolic path as seen by an observer on the ground near the target |
| D. | On a zig-zag path as seen by pilot in the plane |
| Answer» D. On a zig-zag path as seen by pilot in the plane | |
| 5968. |
A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground |
| A. | One after the other |
| B. | Simultaneously |
| C. | Depends on the observer |
| D. | None of the above |
| Answer» C. Depends on the observer | |
| 5969. |
A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following [NCERT 1972; AFMC 1996; BHU 2000] |
| A. | Straight path |
| B. | Circular path |
| C. | Parabolic path |
| D. | Hyperbolic path |
| Answer» D. Hyperbolic path | |
| 5970. |
A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be \[(g=10\,\,m/{{s}^{2}})\] [MH CET 2003] |
| A. | \[{{\tan }^{-1}}\left( \frac{1}{5} \right)\] |
| B. | \[\tan \,\left( \frac{1}{5} \right)\] |
| C. | \[{{\tan }^{-1}}(1)\] |
| D. | \[{{\tan }^{-1}}(5)\] |
| Answer» B. \[\tan \,\left( \frac{1}{5} \right)\] | |
| 5971. |
A particle (A) is dropped from a height and another particle (B) is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is [CBSE PMT 2002; Orissa JEE 2003] |
| A. | Both particles will reach at ground simultaneously |
| B. | Both particles will reach at ground with same speed |
| C. | Particle (A) will reach at ground first with respect to particle (B) |
| D. | Particle (B) will reach at ground first with respect to particle (A) |
| Answer» B. Both particles will reach at ground with same speed | |
| 5972. |
At the height 80 m, an aeroplane is moving with 150 m/s. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped (given g = 10 m/s2) [BCECE 2004] |
| A. | 605.3 m |
| B. | 600 m |
| C. | 80 m |
| D. | 230 m |
| Answer» B. 600 m | |
| 5973. |
A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms?2) [EAMCET (Engg.) 2000] |
| A. | \[2.5m{{s}^{1}}\] |
| B. | \[5m{{s}^{1}}\] |
| C. | \[10m{{s}^{1}}\] |
| D. | \[20m{{s}^{1}}\] |
| Answer» D. \[20m{{s}^{1}}\] | |
| 5974. |
An aeroplane moving horizontally with a speed of 720 km/h drops a food pocket, while flying at a height of 396.9 m. the time taken by a food pocket to reach the ground and its horizontal range is (Take g = 9.8 m/sec2) [AFMC 2001] |
| A. | 3 sec and 2000 m |
| B. | 5 sec and 500 m |
| C. | 8 sec and 1500 m |
| D. | 9 sec and 1800 m |
| Answer» E. | |
| 5975. |
The maximum range of a gun on horizontal terrain is 16 km. If \[g=10m/{{s}^{2}}\]. What must be the muzzle velocity of the shell [KCET 1999; BHU 2003] |
| A. | 200 m/s |
| B. | 400 m/s |
| C. | 100 m/s |
| D. | 50 m/s |
| Answer» C. 100 m/s | |
| 5976. |
Two wires A and B of same material and mass have their lengths in the ratio 1 : 2. On connecting them to the same source, the rate of heat dissipation in B is found to be 5W. The rate of heat dissipation in A is [AMU (Engg.) 2000] |
| A. | 10W |
| B. | 5W |
| C. | 20W |
| D. | None of these |
| Answer» D. None of these | |
| 5977. |
Two electric bulbs (60W and 100W respectively) are connected in series. The current passing through them is [AMU (Med.) 2000] |
| A. | More in 100W bulb |
| B. | More in 60W bulb |
| C. | Same in both |
| D. | None of these |
| Answer» D. None of these | |
| 5978. |
If two bulbs of wattage 25 and 30, each rated at 220 volts, are connected in series with a 440 volt supply, which bulb will fuse [MP PET 2000] |
| A. | 25 W bulb |
| B. | 30 W bulb |
| C. | Neither of them |
| D. | Both of them |
| Answer» B. 30 W bulb | |
| 5979. |
A 60 watt bulb operates on 220V supply. The current flowing through the bulb is [MP PMT 2000] |
| A. | 11/3 amp |
| B. | 3/11 amp |
| C. | 3 amp |
| D. | 6 amp |
| Answer» C. 3 amp | |
| 5980. |
On giving 220V to a resistor the power dissipated is 40W then value of resistance is [RPMT 2000] |
| A. | 1210 W |
| B. | 2000 W |
| C. | 1000 W |
| D. | None of these |
| Answer» B. 2000 W | |
| 5981. |
An expression for rate of heat generated, if a current of I ampere flows through a resistance of R W, is [Pb. PMT 2000] |
| A. | \[{{I}^{2}}Rt\] |
| B. | \[{{I}^{2}}R\] |
| C. | \[{{V}^{2}}R\] |
| D. | \[I\ R\] |
| Answer» C. \[{{V}^{2}}R\] | |
| 5982. |
If three bulbs 60W, 100W and 200W are connected in parallel, then [BHU 2000] |
| A. | 200 W bulb will glow more |
| B. | 60 W bulb will glow more |
| C. | 100 W bulb will glow more |
| D. | All the bulbs will glow equally |
| Answer» B. 60 W bulb will glow more | |
| 5983. |
If a high power heater is connected to electric mains, then the bulbs in the house become dim, because there is a [BHU 1999; Pb. PMT 2000] |
| A. | Current drop |
| B. | Potential drop |
| C. | No current drop |
| D. | No potential drop |
| Answer» C. No current drop | |
| 5984. |
Two wires with resistances R and 2R are connected in parallel, the ratio of heat generated in 2R and R is [DCE 1999, 2000] |
| A. | 1 : 2 |
| B. | 2 : 1 |
| C. | 1 : 4 |
| D. | 4 : 1 |
| Answer» B. 2 : 1 | |
| 5985. |
Resistance of one carbon filament and one tungsten lamp are measured individually when the lamp are lit and compared with their respective resistances when cold. Which one of the following statements will be true [NCERT 972] |
| A. | Resistance of the carbon filament lamp will increase but that of the tungsten will diminish when hot |
| B. | Resistance of the tungsten filament lamp will increase but that of carbon will diminish when hot |
| C. | Resistances of both the lamps will increase when hot |
| D. | Resistances of both the lamps will decrease when hot |
| Answer» C. Resistances of both the lamps will increase when hot | |
| 5986. |
Which of the following is not equal to watt [DPMT 1999] |
| A. | \[{{(Amp)}^{\,2}}\times ohm\] |
| B. | Amp / Volt |
| C. | Amp × Volt |
| D. | Joule / sec |
| Answer» C. Amp × Volt | |
| 5987. |
A current i passes through a wire of length l, radius of cross-section r and resistivity r. The rate of heat generation is [AMU (Med.) 1999] |
| A. | \[\frac{{{i}^{2}}l\rho }{\pi {{r}^{2}}}\] |
| B. | \[{{i}^{2}}{{\left( \frac{l\rho }{\pi {{r}^{2}}} \right)}^{2}}\] |
| C. | \[{{i}^{2}}l\,\rho \,/\,r\] |
| D. | \[i\,l\,\rho \,/\,r\] |
| Answer» B. \[{{i}^{2}}{{\left( \frac{l\rho }{\pi {{r}^{2}}} \right)}^{2}}\] | |
| 5988. |
A steel wire has a resistance twice that of an aluminium wire. Both of them are connected with a constant voltage supply. More heat will be dissipated in [Roorkee 1999] |
| A. | Steel wire when both are connected in series |
| B. | Steel wire when both are connected in parallel |
| C. | Aluminium wire when both are connected in series |
| D. | Aluminium wire when both are connected in parallel |
| Answer» E. | |
| 5989. |
A bulb rated at (100W ? 200V) is used on a 100V line. The current in the bulb is [JIPMER 1999] |
| A. | \[\frac{1}{4}\]amp |
| B. | 4 amp |
| C. | \[\frac{1}{2}\]amp |
| D. | 2 amp |
| Answer» B. 4 amp | |
| 5990. |
Two wires 'A' and 'B' of the same material have their lengths in the ratio 1 : 2 and radii in the ratio 2 : 1. The two wires are connected in parallel across a battery. The ratio of the heat produced in ?A? to the heat produced in ?B? for the same time is [MNR 1998] |
| A. | \[1:2\] |
| B. | \[2:1\] |
| C. | \[1:8\] |
| D. | \[8:1\] |
| Answer» E. | |
| 5991. |
A piece of fuse wire melts when a current of 15 ampere flows through it. With this current, if it dissipates 22.5 W, the resistance of fuse wire will be [MNR 1998] |
| A. | Zero |
| B. | \[10\,\Omega \] |
| C. | \[1\,\Omega \] |
| D. | \[0.10\,\Omega \] |
| Answer» E. | |
| 5992. |
A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected across a variable resistance R. The value of R for which the power delivered in it is maximum is given by [BHU 1998; JIPMER 2001, 02; CBSE PMT 2001] |
| A. | 2.0 ohm |
| B. | 0.25 ohm |
| C. | 1.0 ohm |
| D. | 0.5 ohm |
| Answer» E. | |
| 5993. |
A (100 W, 200 V) bulb is connected to a 160 V power supply. The power consumption would be [CBSE PMT 1997; JIPMER 2000] |
| A. | 64 W |
| B. | 80 W |
| C. | 100 W |
| D. | 125 W |
| Answer» B. 80 W | |
| 5994. |
A heater coil is cut into two parts of equal length and one of them is used in the heater. The ratio of the heat produced by this half coil to that by the original coil is [NCERT 1972; AIEEE 2005; CBSE PMT 2005] |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 1 : 4 |
| D. | 4 : 1 |
| Answer» B. 1 : 2 | |
| 5995. |
A \[4\mu F\] conductor is charged to 400 volts and then its plates are joined through a resistance of \[1\,k\Omega \]. The heat produced in the resistance is [CBSE PMT 1994] |
| A. | 0.16 J |
| B. | 1.28 J |
| C. | 0.64 J |
| D. | 0.32 J |
| Answer» E. | |
| 5996. |
A current of 2 A passing through conductor produces 80 J of heat in 10 seconds. The resistance of the conductor is [CBSE PMT 1993] |
| A. | \[0.5\,\Omega \] |
| B. | \[2\,\Omega \] |
| C. | \[4\,\Omega \] |
| D. | \[20\,\Omega \] |
| Answer» C. \[4\,\Omega \] | |
| 5997. |
If a power of 100 W is being supplied across a potential difference of 200 V, current flowing is [AFMC 1993] |
| A. | 2 A |
| B. | 0.5 A |
| C. | 1 A |
| D. | 20 A |
| Answer» C. 1 A | |
| 5998. |
Electric room radiator which operates at 225 volts has resistance of 50 ohms. Power of the radiator is approximately [SCRA 1994] |
| A. | 100 W |
| B. | 450 W |
| C. | 750 W |
| D. | 1000 W |
| Answer» E. | |
| 5999. |
Two resistors of \[6\,\Omega \] and \[9\Omega \] are connected in series to a 120 volt source. The power consumed by the \[6\,\Omega \] resistor is [SCRA 1994] |
| A. | 384 W |
| B. | 576 W |
| C. | 1500 W |
| D. | 1200 W |
| Answer» B. 576 W | |
| 6000. |
Pick out the wrong statement [AMU 1995] |
| A. | In a simple battery circuit, the point of lowest potential is the negative terminal of the battery |
| B. | The resistance of an incandescent lamp is greater when the lamp is switched off |
| C. | An ordinary 100 W lamp has less resistance than a 60 W lamp |
| D. | At constant voltage, the heat developed in a uniform wire varies inversely as the length of the wire used |
| Answer» C. An ordinary 100 W lamp has less resistance than a 60 W lamp | |