MH CET Gravitation Sample Paper 2019 - You can download here Maharashtra Common Entrance Test (MH CET) Gravitation Sample Papers for admission to MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O & BSc. Nursing courses for academic session 2019-20. All these question papers will help you for better exam preparation.
Government of Maharashtra conducted a Common Entrance Test (MH-CET 2016) for admission to MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O & BSc. Nursing Courses. The examination was conducted on Thursday, 07th May, 2019.
1. A thief stole a box with valuable article of weight ‘W’ and jumped down a wall of height h. Before he reach the ground he experienced a load of
(a) zero
(b) W / 2
(c) W
(d) 2 W
2. The acceleration due to gravity g and mean density of the earth r are related by which of the following relation? Where g is gravitational constant and R is radius of the earth
(a) r =
(b) r =
(c) r =
(d) r =
3. When the planet comes nearer the sun moves
(a) fast
(b) slow
(c) constant at every point
(d) none of the above
4. Kepler’s second law regarding constancy of arial velocity of a planet is a consequence of the law of conservation of
(a) energy
(b) angular momentum
(c) linear momentum
(d) none of these
5. The period of geostationary artificial satellite is
(a) 24 hours
(b) 6 hours
(c) 12 hours
(d) 48 hours
6. A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, R being the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of earth is
(a) 6 hr
(b) 6 hr
(c) 5 hr
(d) 10 hr
7. The distance of Neptune and Saturn from the sun are nearly 1013 m and 1012 m respectively. Assuming that they move in circular orbits, their periodic times would be in the ratio of
(a) 10
(b) 100
(c) 10
(d) 1000
8. A satellite is orbiting close to the surface of the earth, then its speed is
(a)
(b) Rg
(c)
(d)
9. If the gravitational force between two objects were proportional to 1/R (and not as 1/R2) where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to
(a)
(b) R0
(c) R1
(d)
10. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to then
(a) T2 a R2
(b) T2 a
(c) T2 a
(d) T2 a R3
11. The period of a satellite in a circular orbit of radius R is T. The period of another satellite in circular orbit of radius 4R is
(a) T/4
(b) 8T
(c) 2T
(d) T/8
12. A planet moves around the sun. At a point A, it is closest from the Sun at a distance d1 and has a speed v1. At another point B, when it is farthest from the sun at a distance d2, its speed will be
(a)
(b)
(c)
(d)
13.The period of geostationary artificial satellite of earth is
(a) 6 hours
(b) 12 hours
(c) 24 hours
(d) 365 days
14. If ‘r’ represents the radius of the orbit of a satellite of mass ‘m’ moving round a planet of mass ‘M’, the velocity of the satellite is given by
(a) v2 =
(b) v2 =
(c) v =
(d) v =
15. A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is
(a) Positive
(b) Negative
(c) Zero
(d) may be positive or negative
16. The escape velocity of projection from the earth is approximately (R = 6400 km)
(a) 7 km/sec
(b) 112 km/sec
(c) 12.2 km/sec
(d) 1.1 km/sec
17. If the earth is 1/4th of its present distance from the sun, the duration of the year would be
(a) 1/4 of the present year
(b) 1/6 of the present year
(c) 1/8 of the present year
(d) 1/16 of the present year
18. The relation between escape velocity and orbit velocity is
(a) ve =
(b) ve = vorb
(c) ve = 2vorb
(d) ve = vorb
19. There is no atmosphere on the moon because
(a) it is closer ot the earth
(b) it revolves round the earth
(c) it gets light from the sun
(d) the escape velocity of gas molecules is less than their root mean square velocity here
20. If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface would
(a) decrease by 2%
(b) remain unchanged
(c) increase by 2%
(d) will increase by 9.8%
21. Fg and Fe represents gravitational and electrostatic forces respectively, between the two electrons situated at a distance of 10 m. The ratio Fg/Fe is of the order of
(a) 1043
(b) 1036
(c) 10-43
(d) 10-36
22.The value of ‘g’ at a particular point is 9.8 m/sec2 suppose the earth suddenly shrink uniformly to half its present size without losing any mass. The value of ‘g at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will become
(a) 9.8 m/sec2
(b) 4.9 m/sec2
(c) 19.6 m/sec2
(d) 2.45 m/sec2
23. The orbit velocity of an artificial satellite in a circular orbit just above the earth’s surface is v. For a satellite orbiting at an altitude of half of the earth’s radius, the orbital velocity is
(a)
(b)
(c)
(d)
24.If the change in the value of g at the height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)
(a) x = h
(b) x = 2 h
(c) x =
(d) x = h2
Know the Correct Answer
1. Ans.: (a) 2. Ans.: (c) 3.Ans.: (a) 4. Ans.: (b) 5. Ans.: (a) 6. Ans.: (a) 7. Ans.: (c) 8. Ans.: (c) 9. Ans.: (b) 10. Ans.: (b) 11. Ans.: (b) 12. Ans.: (a) 13. Ans.: (c) 14. Ans.: (c) 15. Ans.: (b) 16. Ans.: (c) 17. Ans.: (c) 18. Ans.: (a) 19. Ans.: (d) 20. Ans.: (c) 21. Ans.: (c) 22. Ans.: (a) 23. Ans.: (c) 24. Ans.: (b)
SET B
1. A satellite is revolving around the sun in a circular orbit with uniform velocity v. If the gravitational force suddenly disappears, the velocity of the satellite will be
(a) zero
(b) v
(c) 2v
(d) infinity
2. Who among the following first gave the experimental velocity of G?
(a) Cavendish
(b) Copernicus
(c) Brook Taylor
(d) none of these
3. The mean radius of the earth is R, its angular speed on its own axis is w and the acceleration due to gravity at earth’s surface is g. The cube of the radius of the orbit of a geo-stationary satellite will be
(a) r2g / w
(b) R2w2 / g
(c) RG w2
(d) R2g / w2
4. The largest and the shortest distance of the earth from are r1 and r2. It’s distance from the sun when it is perpendicular to the major-axis of the orbit drawn from the sun.
(a) (r1+r2)/4
(b) (r1+r2)/((r1-r2))
(c) (2r1r2)/(r1+r2)
(d) (r1+r2)/3
5. Geo-stationary satellite
(a) revolves about the polar axis
(b) has a time period less than that of the earth’s satellite
(c) moves faster than a near earth satellite
(d) is stationary in the space
6.
A spherical planet far out in space has a mass M0 and diameter D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to
(a)
(b)
(c)
(d)
7.
Two planets of radii r1 and r2 are made from the same material. The ratio of the acceleration due to gravity g1/g2 at the surface of the two planets is
(a)
(b)
(c)
(d)
8.
If g is the acceleration due to gravity of the earth’s surface the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is
(a) mgR
(b) 2mgR
(c) mgR
(d) mgR
9.
An earth’s satellite of mass m revolves in a circular orbit at a height h from the surface g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by
(a)
(b) gR
(c)
(d)
10.
If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would
(a) decrease
(b) remains unchanged
(c) increase
(d) none of these
11.
The escape velocity from the earth’s surface is 11 km/sec. A certain planet has a radius twice that of the earth but its mean density is the same as that of the earth. The value of the escape velocity from this planet would be
(a) 22 km/sec
(b) 11 km/sec
(c) 5.5 km/sec
(d) 16.5 km/sec
12.
The escape velocity from earth is 11.2 km per sec. If a body is to be projected in a direction making an angle 45° to the vertical, then the escape velocity is
(a) 11.2 ´ 2 km/sec
(b) 11.2 km/sec
(c) 11.2 ´ km/sec
(d) 11.2 ´ km/sec
13.
What would be the duration of the year if the distance between the earth and the sun gets doubled?
(a) 1032 days
(b) 129 days
(c) 365 days
(d) 730 days
14.
If escape velocity from the earth’s surface is 11.2 km/sec. then escape velocity from a planet of mass same as that of earth but radius one fourth as that of earth is
(a) 11.2 km/sec
(b) 22.4 km/sec
(c) 5.65 km/sec
(d) 44.8 km/sec
15.
A thin uniform, circular ring is rolling down an inclined plane of inclination 30° without slipping. Its linear acceleration along the inclined plane will be
(a) g/2
(b) g/3
(c) g/4
(d) 2g/3
16.
A artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E0. Its potential energy is
(a) 2E0
(b) E0
(c) 1.5 E0
(d) -E0
17.
The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6 ´ 1024 kg and G = 6.66 ´ 10-11 Nm2/kg2. The speed of the moon is nearly
(a) 1 km/sec
(b) 4 km/sec
(c) 8 km/sec
(d) 11.2 km/sec
18.
When body is raised to a height equal to radius of earth, the P.E. change is
(a) MgR
(b)
(c) 2 MgR
(d) none of these
19.
A planet has twice the radius but the mean density is 1/4th as compared to earth. What is the radio of the escape velocity from the earth to that from the planet?
(a) 3 : 1
(b) 1 : 2
(c) 1 : 1
(d) 2 : 1
20.
The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio.
(a) 1 : 2
(b) 2 : 1
(c) 3 : 5
(d) 5 : 3
21.
If the acceleration due to gravity of a planet is half the acceleration due to gravity of earth’s surface and radius of planet is half the radius of the earth, the mass of planet in terms of mass of earth is
(a)
(b)
(c)
(d)
22.
The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface is
(a) 10 : 1
(b) 6 : 1
(c) 1.66 : 1
(d) 7.74 : 1
23.
Acceleration due to gravity g in terms of mean density of Earth d (where R is radius of earth and G – universal gravitational constant) is
(a) g = 4pR2 d G
(b) g =
(c) g =
(d) g = pRdG
24.
The dimensions of universal gravitational constant are
(a) M2 L2 T-2
(b) M-1 L3 T-2
(c) M L-1 T-2
(d) M L2 T-2
25.
If R is radius of the earth and g the acceleration due to gravity on the earth’s surface, the mean density of the earth is
(a)
(b)
(c)
(d)
Know the Correct Answer
1. Ans.: (b) 2. Ans.: (a) 3. Ans.: (d) 4. Ans.: (c) 5. Ans.: (a) 6. Ans.: (c) 7. Ans.: (a) 8. Ans.: (a) 9. Ans.: (d) 10. Ans.: (c) 11. Ans.: (a) 12. Ans.: (b) 13. Ans.: (a) 14. Ans.: (b) 15. Ans.: (c) 16. Ans.: (a) 17. Ans.: (a) 18. Ans.: (b) 19. Ans.: (c) 20. Ans.: (a) 21. Ans.: (d) 22. Ans.: (d) 23. Ans.: (d) 24. Ans.: (b) 25. Ans.: (c)
Government of Maharashtra conducted a Common Entrance Test (MH-CET 2016) for admission to MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O & BSc. Nursing Courses. The examination was conducted on Thursday, 07th May, 2019.
1. A thief stole a box with valuable article of weight ‘W’ and jumped down a wall of height h. Before he reach the ground he experienced a load of
(a) zero
(b) W / 2
(c) W
(d) 2 W
2. The acceleration due to gravity g and mean density of the earth r are related by which of the following relation? Where g is gravitational constant and R is radius of the earth
(a) r =
(b) r =
(c) r =
(d) r =
3. When the planet comes nearer the sun moves
(a) fast
(b) slow
(c) constant at every point
(d) none of the above
4. Kepler’s second law regarding constancy of arial velocity of a planet is a consequence of the law of conservation of
(a) energy
(b) angular momentum
(c) linear momentum
(d) none of these
5. The period of geostationary artificial satellite is
(a) 24 hours
(b) 6 hours
(c) 12 hours
(d) 48 hours
6. A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, R being the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of earth is
(a) 6 hr
(b) 6 hr
(c) 5 hr
(d) 10 hr
7. The distance of Neptune and Saturn from the sun are nearly 1013 m and 1012 m respectively. Assuming that they move in circular orbits, their periodic times would be in the ratio of
(a) 10
(b) 100
(c) 10
(d) 1000
8. A satellite is orbiting close to the surface of the earth, then its speed is
(a)
(b) Rg
(c)
(d)
9. If the gravitational force between two objects were proportional to 1/R (and not as 1/R2) where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to
(a)
(b) R0
(c) R1
(d)
10. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to then
(a) T2 a R2
(b) T2 a
(c) T2 a
(d) T2 a R3
11. The period of a satellite in a circular orbit of radius R is T. The period of another satellite in circular orbit of radius 4R is
(a) T/4
(b) 8T
(c) 2T
(d) T/8
12. A planet moves around the sun. At a point A, it is closest from the Sun at a distance d1 and has a speed v1. At another point B, when it is farthest from the sun at a distance d2, its speed will be
(a)
(b)
(c)
(d)
13.The period of geostationary artificial satellite of earth is
(a) 6 hours
(b) 12 hours
(c) 24 hours
(d) 365 days
14. If ‘r’ represents the radius of the orbit of a satellite of mass ‘m’ moving round a planet of mass ‘M’, the velocity of the satellite is given by
(a) v2 =
(b) v2 =
(c) v =
(d) v =
15. A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is
(a) Positive
(b) Negative
(c) Zero
(d) may be positive or negative
16. The escape velocity of projection from the earth is approximately (R = 6400 km)
(a) 7 km/sec
(b) 112 km/sec
(c) 12.2 km/sec
(d) 1.1 km/sec
17. If the earth is 1/4th of its present distance from the sun, the duration of the year would be
(a) 1/4 of the present year
(b) 1/6 of the present year
(c) 1/8 of the present year
(d) 1/16 of the present year
18. The relation between escape velocity and orbit velocity is
(a) ve =
(b) ve = vorb
(c) ve = 2vorb
(d) ve = vorb
19. There is no atmosphere on the moon because
(a) it is closer ot the earth
(b) it revolves round the earth
(c) it gets light from the sun
(d) the escape velocity of gas molecules is less than their root mean square velocity here
20. If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth’s surface would
(a) decrease by 2%
(b) remain unchanged
(c) increase by 2%
(d) will increase by 9.8%
21. Fg and Fe represents gravitational and electrostatic forces respectively, between the two electrons situated at a distance of 10 m. The ratio Fg/Fe is of the order of
(a) 1043
(b) 1036
(c) 10-43
(d) 10-36
22.The value of ‘g’ at a particular point is 9.8 m/sec2 suppose the earth suddenly shrink uniformly to half its present size without losing any mass. The value of ‘g at the same point (assuming that the distance of the point from the centre of the earth does not shrink) will become
(a) 9.8 m/sec2
(b) 4.9 m/sec2
(c) 19.6 m/sec2
(d) 2.45 m/sec2
23. The orbit velocity of an artificial satellite in a circular orbit just above the earth’s surface is v. For a satellite orbiting at an altitude of half of the earth’s radius, the orbital velocity is
(a)
(b)
(c)
(d)
24.If the change in the value of g at the height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)
(a) x = h
(b) x = 2 h
(c) x =
(d) x = h2
Know the Correct Answer
1. Ans.: (a) 2. Ans.: (c) 3.Ans.: (a) 4. Ans.: (b) 5. Ans.: (a) 6. Ans.: (a) 7. Ans.: (c) 8. Ans.: (c) 9. Ans.: (b) 10. Ans.: (b) 11. Ans.: (b) 12. Ans.: (a) 13. Ans.: (c) 14. Ans.: (c) 15. Ans.: (b) 16. Ans.: (c) 17. Ans.: (c) 18. Ans.: (a) 19. Ans.: (d) 20. Ans.: (c) 21. Ans.: (c) 22. Ans.: (a) 23. Ans.: (c) 24. Ans.: (b)
SET B
1. A satellite is revolving around the sun in a circular orbit with uniform velocity v. If the gravitational force suddenly disappears, the velocity of the satellite will be
(a) zero
(b) v
(c) 2v
(d) infinity
2. Who among the following first gave the experimental velocity of G?
(a) Cavendish
(b) Copernicus
(c) Brook Taylor
(d) none of these
3. The mean radius of the earth is R, its angular speed on its own axis is w and the acceleration due to gravity at earth’s surface is g. The cube of the radius of the orbit of a geo-stationary satellite will be
(a) r2g / w
(b) R2w2 / g
(c) RG w2
(d) R2g / w2
4. The largest and the shortest distance of the earth from are r1 and r2. It’s distance from the sun when it is perpendicular to the major-axis of the orbit drawn from the sun.
(a) (r1+r2)/4
(b) (r1+r2)/((r1-r2))
(c) (2r1r2)/(r1+r2)
(d) (r1+r2)/3
5. Geo-stationary satellite
(a) revolves about the polar axis
(b) has a time period less than that of the earth’s satellite
(c) moves faster than a near earth satellite
(d) is stationary in the space
6.
A spherical planet far out in space has a mass M0 and diameter D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to
(a)
(b)
(c)
(d)
7.
Two planets of radii r1 and r2 are made from the same material. The ratio of the acceleration due to gravity g1/g2 at the surface of the two planets is
(a)
(b)
(c)
(d)
8.
If g is the acceleration due to gravity of the earth’s surface the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is
(a) mgR
(b) 2mgR
(c) mgR
(d) mgR
9.
An earth’s satellite of mass m revolves in a circular orbit at a height h from the surface g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by
(a)
(b) gR
(c)
(d)
10.
If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would
(a) decrease
(b) remains unchanged
(c) increase
(d) none of these
11.
The escape velocity from the earth’s surface is 11 km/sec. A certain planet has a radius twice that of the earth but its mean density is the same as that of the earth. The value of the escape velocity from this planet would be
(a) 22 km/sec
(b) 11 km/sec
(c) 5.5 km/sec
(d) 16.5 km/sec
12.
The escape velocity from earth is 11.2 km per sec. If a body is to be projected in a direction making an angle 45° to the vertical, then the escape velocity is
(a) 11.2 ´ 2 km/sec
(b) 11.2 km/sec
(c) 11.2 ´ km/sec
(d) 11.2 ´ km/sec
13.
What would be the duration of the year if the distance between the earth and the sun gets doubled?
(a) 1032 days
(b) 129 days
(c) 365 days
(d) 730 days
14.
If escape velocity from the earth’s surface is 11.2 km/sec. then escape velocity from a planet of mass same as that of earth but radius one fourth as that of earth is
(a) 11.2 km/sec
(b) 22.4 km/sec
(c) 5.65 km/sec
(d) 44.8 km/sec
15.
A thin uniform, circular ring is rolling down an inclined plane of inclination 30° without slipping. Its linear acceleration along the inclined plane will be
(a) g/2
(b) g/3
(c) g/4
(d) 2g/3
16.
A artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E0. Its potential energy is
(a) 2E0
(b) E0
(c) 1.5 E0
(d) -E0
17.
The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6 ´ 1024 kg and G = 6.66 ´ 10-11 Nm2/kg2. The speed of the moon is nearly
(a) 1 km/sec
(b) 4 km/sec
(c) 8 km/sec
(d) 11.2 km/sec
18.
When body is raised to a height equal to radius of earth, the P.E. change is
(a) MgR
(b)
(c) 2 MgR
(d) none of these
19.
A planet has twice the radius but the mean density is 1/4th as compared to earth. What is the radio of the escape velocity from the earth to that from the planet?
(a) 3 : 1
(b) 1 : 2
(c) 1 : 1
(d) 2 : 1
20.
The masses of two planets are in the ratio 1 : 2. Their radii are in the ratio 1 : 2. The acceleration due to gravity on the planets are in the ratio.
(a) 1 : 2
(b) 2 : 1
(c) 3 : 5
(d) 5 : 3
21.
If the acceleration due to gravity of a planet is half the acceleration due to gravity of earth’s surface and radius of planet is half the radius of the earth, the mass of planet in terms of mass of earth is
(a)
(b)
(c)
(d)
22.
The radii of the earth and the moon are in the ratio 10 : 1 while acceleration due to gravity on th eearth’s surface and moon’s surface are in the ratio 6 : 1. The ratio of escape velocities from earth’s surface to that of moon surface is
(a) 10 : 1
(b) 6 : 1
(c) 1.66 : 1
(d) 7.74 : 1
23.
Acceleration due to gravity g in terms of mean density of Earth d (where R is radius of earth and G – universal gravitational constant) is
(a) g = 4pR2 d G
(b) g =
(c) g =
(d) g = pRdG
24.
The dimensions of universal gravitational constant are
(a) M2 L2 T-2
(b) M-1 L3 T-2
(c) M L-1 T-2
(d) M L2 T-2
25.
If R is radius of the earth and g the acceleration due to gravity on the earth’s surface, the mean density of the earth is
(a)
(b)
(c)
(d)
Know the Correct Answer
1. Ans.: (b) 2. Ans.: (a) 3. Ans.: (d) 4. Ans.: (c) 5. Ans.: (a) 6. Ans.: (c) 7. Ans.: (a) 8. Ans.: (a) 9. Ans.: (d) 10. Ans.: (c) 11. Ans.: (a) 12. Ans.: (b) 13. Ans.: (a) 14. Ans.: (b) 15. Ans.: (c) 16. Ans.: (a) 17. Ans.: (a) 18. Ans.: (b) 19. Ans.: (c) 20. Ans.: (a) 21. Ans.: (d) 22. Ans.: (d) 23. Ans.: (d) 24. Ans.: (b) 25. Ans.: (c)
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