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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.
| 5801. |
If orbital velocity of planet is given by \[v={{G}^{a}}{{M}^{b}}{{R}^{c}}\], then [EAMCET 1994] |
| A. | \[a=1/3,\,b=1/3,\,c=-1/3\] |
| B. | \[a=1/2,\,b=1/2,\,c=-1/2\] |
| C. | \[a=1/2,\,b=-1/2,\,c=1/2\] |
| D. | \[a=1/2,\,b=-1/2,\,c=-1/2\] |
| Answer» C. \[a=1/2,\,b=-1/2,\,c=1/2\] | |
| 5802. |
The eccentricity of earth's orbit is 0.0167. The ratio of its maximum speed in its orbit to its minimum speed is [NCERT 1973] |
| A. | 2.507 |
| B. | 1.033 |
| C. | 8.324 |
| D. | 1.000 |
| Answer» C. 8.324 | |
| 5803. |
The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can be written as [AMU 1995] |
| A. | \[4{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\] |
| B. | \[8{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\] |
| C. | \[12{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\] |
| D. | \[16{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\] |
| Answer» B. \[8{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\] | |
| 5804. |
What does not change in the field of central force [MP PMT 2004] |
| A. | Potential energy |
| B. | Kinetic energy |
| C. | Linear momentum |
| D. | Angular momentum |
| Answer» E. | |
| 5805. |
Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. \[F\propto 1/{{r}^{3}}\], but still remaining a central force. Then [UPSEAT 2002] |
| A. | Keplers law of areas still holds |
| B. | Keplers law of period still holds |
| C. | Keplers law of areas and period still hold |
| D. | Neither the law of areas, nor the law of period still holds |
| Answer» E. | |
| 5806. |
If a new planet is discovered rotating around Sun with the orbital radius double that of earth, then what will be its time period (in earth's days) [DCE 2004] |
| A. | 1032 |
| B. | 1023 |
| C. | 1024 |
| D. | 1043 |
| Answer» B. 1023 | |
| 5807. |
Kepler's second law (law of areas) is nothing but a statement of [UPSEAT 2004] |
| A. | Work energy theorem |
| B. | Conservation of linear momentum |
| C. | Conservation of angular momentum |
| D. | Conservation of energy |
| Answer» D. Conservation of energy | |
| 5808. |
In an elliptical orbit under gravitational force, in general [UPSEAT 2004] |
| A. | Tangential velocity is constant |
| B. | Angular velocity is constant |
| C. | Radial velocity is constant |
| D. | Areal velocity is constant |
| Answer» E. | |
| 5809. |
Orbit of a planet around a star is [CPMT 1982] |
| A. | A circle |
| B. | An ellipse |
| C. | A parabola |
| D. | A straight line |
| Answer» C. A parabola | |
| 5810. |
The ratio of the distances of two planets from the sun is 1.38. The ratio of their period of revolution around the sun is [Kerala PMT 2004] |
| A. | 1.38 |
| B. | \[{{1.38}^{3/2}}\] |
| C. | \[{{1.38}^{1/2}}\] |
| D. | \[{{1.38}^{3}}\] |
| E. | \[{{1.38}^{2}}.\] |
| Answer» C. \[{{1.38}^{1/2}}\] | |
| 5811. |
In planetary motion the areal velocity of position vector of a planet depends on angular velocity \[(\omega )\] and the distance of the planet from sun (r). If so the correct relation for areal velocity is [EAMCET 2003] |
| A. | \[\frac{dA}{dt}\propto \omega r\] |
| B. | \[\frac{dA}{dt}\propto {{\omega }^{2}}r\] |
| C. | \[\frac{dA}{dt}\propto \omega {{r}^{2}}\] |
| D. | \[\frac{dA}{dt}\propto \sqrt{\omega r}\] |
| Answer» D. \[\frac{dA}{dt}\propto \sqrt{\omega r}\] | |
| 5812. |
The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then the new angular momentum will be [MP PET 2003] |
| A. | 16 L |
| B. | 64 L |
| C. | \[\frac{L}{4}\] |
| D. | 4 L |
| Answer» E. | |
| 5813. |
According to Kepler?s law the time period of a satellite varies with its radius as [Orissa JEE 2003] |
| A. | \[{{T}^{2}}\propto {{R}^{3}}\] |
| B. | \[{{T}^{3}}\propto {{R}^{2}}\] |
| C. | \[{{T}^{2}}\propto (1/{{R}^{3}})\] |
| D. | \[{{T}^{3}}\propto (1/{{R}^{2}})\] |
| Answer» B. \[{{T}^{3}}\propto {{R}^{2}}\] | |
| 5814. |
The radius of orbit of a planet is two times that of the earth. The time period of planet is [BHU 2003; CPMT 2004] |
| A. | 4.2 years |
| B. | 2.8 years |
| C. | 5.6 years |
| D. | 8.4 years |
| Answer» C. 5.6 years | |
| 5815. |
A planet is revolving around the sun as shown in elliptical path [UPSEAT 2003] The correct option is |
| A. | The time taken in travelling DAB is less than that for BCD |
| B. | The time taken in travelling DAB is greater than that for BCD |
| C. | The time taken in travelling CDA is less than that for ABC |
| D. | The time taken in travelling CDA is greater than that for ABC |
| Answer» B. The time taken in travelling DAB is greater than that for BCD | |
| 5816. |
The distance of a planet from the sun is 5 times the distance between the earth and the sun. The time period of the planet is [UPSEAT 2003] |
| A. | \[{{5}^{3/2}}\] years |
| B. | \[{{5}^{2/3}}\] years |
| C. | \[{{5}^{1/3}}\] years |
| D. | \[{{5}^{1/2}}\] years |
| Answer» B. \[{{5}^{2/3}}\] years | |
| 5817. |
Which of the following astronomer first proposed that sun is static and earth rounds sun [AFMC 2002] |
| A. | Copernicus |
| B. | Kepler |
| C. | Galileo |
| D. | None |
| Answer» B. Kepler | |
| 5818. |
Two planets at mean distance \[{{d}_{1}}\] and \[{{d}_{2}}\] from the sun and their frequencies are n1 and n2 respectively then [Kerala (Med.) 2002] |
| A. | \[n_{1}^{2}d_{1}^{2}={{n}_{2}}d_{2}^{2}\] |
| B. | \[n_{2}^{2}d_{2}^{3}=n_{1}^{2}d_{1}^{3}\] |
| C. | \[{{n}_{1}}d_{1}^{2}={{n}_{2}}d_{2}^{2}\] |
| D. | \[n_{1}^{2}{{d}_{1}}=n_{2}^{2}{{d}_{2}}\] |
| Answer» C. \[{{n}_{1}}d_{1}^{2}={{n}_{2}}d_{2}^{2}\] | |
| 5819. |
The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is [CPMT 1982; MP PET/PMT 1998; AIIMS 2000; CBSE PMT 2002] |
| A. | 4T |
| B. | T/4 |
| C. | 8T |
| D. | T/8 |
| Answer» D. T/8 | |
| 5820. |
The period of moon?s rotation around the earth is nearly 29 days. If moon?s mass were 2 fold, its present value and all other things remained unchanged, the period of moon?s rotation would be nearly [Kerala (Engg.) 2002] |
| A. | \[29\sqrt{2}\]days |
| B. | \[29/\sqrt{2}\] days |
| C. | 29 × 2 days |
| D. | 29 days |
| Answer» E. | |
| 5821. |
A body revolved around the sun 27 times faster then the earth what is the ratio of their radii [DPMT 2002] |
| A. | 1/3 |
| B. | 1/9 |
| C. | 1/27 |
| D. | 1/4 |
| Answer» C. 1/27 | |
| 5822. |
The maximum and minimum distances of a comet from the sun are \[8\times {{10}^{12}}\,m\] and \[1.6\times {{10}^{12}}\,m\]. If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when it is farthest [Orissa 2001] |
| A. | 12 |
| B. | 60 |
| C. | 112 |
| D. | 6 |
| Answer» B. 60 | |
| 5823. |
In the solar system, which is conserved [DCE 2001] |
| A. | Total Energy |
| B. | K.E. |
| C. | Angular Velocity |
| D. | Linear Momentum |
| Answer» B. K.E. | |
| 5824. |
Kepler discovered [DCE 2000] |
| A. | Laws of motion |
| B. | Laws of rotational motion |
| C. | Laws of planetory motion |
| D. | Laws of curvilinear motion |
| Answer» D. Laws of curvilinear motion | |
| 5825. |
The earth revolves round the sun in one year. If the distance between them becomes double, the new period of revolution will be [MP PET 2000] |
| A. | 1/2 year |
| B. | \[2\sqrt{2}\] years |
| C. | 4 years |
| D. | 8 years |
| Answer» C. 4 years | |
| 5826. |
If mass of a satellite is doubled and time period remain constant the ratio of orbit in the two cases will be [RPET 2000] |
| A. | 1 : 2 |
| B. | 1 : 1 |
| C. | 1 : 3 |
| D. | None of these |
| Answer» C. 1 : 3 | |
| 5827. |
Planetary system in the solar system describes [DCE 1999] |
| A. | Conservation of energy |
| B. | Conservation of linear momentum |
| C. | Conservation of angular momentum |
| D. | None of these |
| Answer» D. None of these | |
| 5828. |
If the radius of earth's orbit is made 1/4, the duration of an year will become [BHU 1998; JIPMER 2001, 2002] |
| A. | 8 times |
| B. | 4 times |
| C. | 1/8 times |
| D. | 1/4 times |
| Answer» D. 1/4 times | |
| 5829. |
The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun [CBSE PMT 1997; BHU 2001] |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 5830. |
The figure shows the motion of a planet around the sun in an elliptical orbit with sun at the focus. The shaded areas A and B are also shown in the figure which can be assumed to be equal. If \[{{t}_{1}}\] and \[{{t}_{2}}\] represent the time for the planet to move from a to b and d to c respectively, then [CPMT 1986, 88] |
| A. | \[{{t}_{1}}<{{t}_{2}}\] |
| B. | \[{{t}_{1}}>{{t}_{2}}\] |
| C. | \[{{t}_{1}}={{t}_{2}}\] |
| D. | \[{{t}_{1}}\le {{t}_{2}}\] |
| Answer» D. \[{{t}_{1}}\le {{t}_{2}}\] | |
| 5831. |
The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will be maximum at the point [BHU 1994; CPMT 1997] |
| A. | C |
| B. | A |
| C. | B |
| D. | D |
| Answer» C. B | |
| 5832. |
A satellite A of mass m is at a distance of r from the centre of the earth. Another satellite B of mass 2m is at a distance of 2r from the earth's centre. Their time periods are in the ratio of [CBSE PMT 1993] |
| A. | 1 : 2 |
| B. | 1 : 16 |
| C. | 1 : 32 |
| D. | \[1:2\sqrt{2}\] |
| Answer» E. | |
| 5833. |
A planet revolves around sun whose mean distance is 1.588 times the mean distance between earth and sun. The revolution time of planet will be [RPET 1997] |
| A. | 1.25 years |
| B. | 1.59 years |
| C. | 0.89 years |
| D. | 2 years |
| Answer» E. | |
| 5834. |
According to Kepler, the period of revolution of a planet (T) and its mean distance from the sun (r) are related by the equation [EAMCET (Med.) 1995; MH CET 2000; Pb. PET 2001] |
| A. | \[{{T}^{3}}{{r}^{3}}=\] constant |
| B. | \[{{T}^{2}}{{r}^{-3}}=\]constant |
| C. | \[T{{r}^{3}}=\] constant |
| D. | \[{{T}^{2}}r=\] constant |
| Answer» C. \[T{{r}^{3}}=\] constant | |
| 5835. |
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is \[{{R}_{0}}\] and mass of the earth M, the angular momentum about the centre of the earth is [MP PMT 1996; RPMT 2000] |
| A. | \[m\sqrt{GM{{R}_{0}}}\] |
| B. | \[M\sqrt{Gm{{R}_{0}}}\] |
| C. | \[m\sqrt{\frac{GM}{{{R}_{0}}}}\] |
| D. | \[M\sqrt{\frac{GM}{{{R}_{0}}}}\] |
| Answer» B. \[M\sqrt{Gm{{R}_{0}}}\] | |
| 5836. |
The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be [MP PMT 1994] |
| A. | 83 minutes |
| B. | \[83\times \sqrt{8}\] minutes |
| C. | 664 minutes |
| D. | 249 minutes |
| Answer» D. 249 minutes | |
| 5837. |
The largest and the shortest distance of the earth from the sun are \[{{r}_{1}}\] and \[{{r}_{2}}\], its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun [CBSE PMT 1991] |
| A. | \[\frac{{{r}_{1}}+{{r}_{2}}}{4}\] |
| B. | \[\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\] |
| C. | \[\frac{2{{r}_{1}}{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\] |
| D. | \[\frac{{{r}_{1}}+{{r}_{2}}}{3}\] |
| Answer» D. \[\frac{{{r}_{1}}+{{r}_{2}}}{3}\] | |
| 5838. |
Kepler's second law regarding constancy of aerial velocity of a planet is a consequence of the law of conservation of [CPMT 1990; AIIMS 2002] |
| A. | Energy |
| B. | Angular momentum |
| C. | Linear momentum |
| D. | None of these |
| Answer» C. Linear momentum | |
| 5839. |
Two planets move around the sun. The periodic times and the mean radii of the orbits are \[{{T}_{1}},\,{{T}_{2}}\] and \[{{r}_{1}},\,{{r}_{2}}\] respectively. The ratio \[{{T}_{1}}/{{T}_{2}}\] is equal to [CPMT 1978] |
| A. | \[{{({{r}_{1}}/{{r}_{2}})}^{1/2}}\] |
| B. | \[{{r}_{1}}/{{r}_{2}}\] |
| C. | \[{{({{r}_{1}}/{{r}_{2}})}^{2}}\] |
| D. | \[{{({{r}_{1}}/{{r}_{2}})}^{3/2}}\] |
| Answer» E. | |
| 5840. |
The orbital speed of Jupiter is [MNR 1986; UPSEAT 2000] |
| A. | Greater than the orbital speed of earth |
| B. | Less than the orbital speed of earth |
| C. | Equal to the orbital speed of earth |
| D. | Zero |
| Answer» C. Equal to the orbital speed of earth | |
| 5841. |
The distance of neptune and saturn from sun are nearly \[{{10}^{13}}\] and \[{{10}^{12}}\] meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio [NCERT 1975; CBSE PMT 1994; MP PET 2001] |
| A. | \[\sqrt{10}\] |
| B. | 100 |
| C. | \[10\sqrt{10}\] |
| D. | \[1/\sqrt{10}\] |
| Answer» D. \[1/\sqrt{10}\] | |
| 5842. |
If a = 0.98 and current through emitter ie = 20 mA, the value of b is [DPMT 2002] |
| A. | 4.9 |
| B. | 49 |
| C. | 96 |
| D. | 9.6 |
| Answer» C. 96 | |
| 5843. |
Which of the following is true [DPMT 2002] |
| A. | Common base transistor is commonly used because current gain is maximum |
| B. | Common emitter is commonly used because current gain is maximum |
| C. | Common collector is commonly used because current gain is maximum |
| D. | Common emitter is the least used transistor |
| Answer» C. Common collector is commonly used because current gain is maximum | |
| 5844. |
In the case of constants a and b of a transistor [CET 2003] |
| A. | a = b |
| B. | b < 1 a > 1 |
| C. | ab = 1 |
| D. | b > 1 a < 1 |
| Answer» E. | |
| 5845. |
A NPN transistor conducts when [CPMT 2003] |
| A. | Both collector and emitter are positive with respect to the base |
| B. | Collector is positive and emitter is negative with respect to the base |
| C. | Collector is positive and emitter is at same potential as the base |
| D. | Both collector and emitter are negative with respect to the base |
| Answer» C. Collector is positive and emitter is at same potential as the base | |
| 5846. |
In an NPN transistor the collector current is 24 mA. If 80% of electrons reach collector its base current in mA is [Kerala PMT 2004] |
| A. | 36 |
| B. | 26 |
| C. | 16 |
| D. | 6 |
| Answer» E. | |
| 5847. |
In the study of transistor as an amplifier, if \[\alpha ={{I}_{c}}/{{I}_{e}}\] and \[\beta ={{I}_{c}}/{{I}_{b}},\] where \[{{I}_{c}},{{I}_{b}}\] and Ie are the collector, base and emitter currents, then [CBSE PMT 2000; KCET 2000; Orissa JEE 2005] |
| A. | \[\beta =\frac{1-\alpha }{\alpha }\] |
| B. | \[\beta =\frac{\alpha }{1-\alpha }\] |
| C. | \[\beta =\frac{\alpha }{1+\alpha }\] |
| D. | \[\beta =\frac{1+\alpha }{\alpha }\] |
| Answer» C. \[\beta =\frac{\alpha }{1+\alpha }\] | |
| 5848. |
In a transistor in CE configuration, the ratio of power gain to voltage gain is [J & K CET 2005] |
| A. | a |
| B. | b / a |
| C. | ba |
| D. | b |
| Answer» E. | |
| 5849. |
NPN transistor are preferred to PNP transistor because they have [J & K CET 2005] |
| A. | Low cost |
| B. | Low dissipation energy |
| C. | Capability of handing large power |
| D. | Electrons having high mobility than holes |
| Answer» E. | |
| 5850. |
In NPN transistor the collector current is 10 mA. If 90% of electrons emitted reach the collector, then [Kerala PMT 2005] |
| A. | Emitter current will be 9 mA |
| B. | Emitter current will be 11.1 mA |
| C. | Base current will be 0.1 mA |
| D. | Base current will be 0.01 mA |
| Answer» C. Base current will be 0.1 mA | |