Gravitation · Physics · MHT CET

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MHT CET 2023 14th May Evening Shift
Earth is assumed to be a sphere of radius R. If '$$\mathrm{g}_\phi$$' is value of effective acceleration due to gravity at latitude $$30^{\circ}$$ and...
MHT CET 2023 14th May Evening Shift
A body (mass $$\mathrm{m}$$ ) starts its motion from rest from a point distant $$R_0\left(R_0>R\right)$$ from the centre of the earth. The velocity ac...
MHT CET 2023 14th May Morning Shift
Considering earth to be a sphere of radius '$$R$$' having uniform density '$$\rho$$', then value of acceleration due to gravity '$$g$$' in terms of $$... MHT CET 2023 14th May Morning Shift The value of acceleration due to gravity at a depth '$$d$$' from the surface of earth and at an altitude '$$h$$' from the surface of earth are in the ... MHT CET 2023 13th May Evening Shift If two planets have their radii in the ratio$$x: y$$and densities in the ratio$$m: n$$, then the acceleration due to gravity on them are in the rat... MHT CET 2023 13th May Evening Shift A mine is located at depth$$R / 3$$below earth's surface. The acceleration due to gravity at that depth in mine is ($$R=$$radius of earth,$$g=$$a... MHT CET 2023 13th May Morning Shift A body of mass '$$\mathrm{m}$$' is raised through a height above the earth's surface so that the increase in potential energy is$$\frac{\mathrm{mgR}}...
MHT CET 2023 13th May Morning Shift
If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to $$\math... MHT CET 2023 12th May Evening Shift A body is projected vertically upwards from earth's surface of radius '$$R$$' with velocity equal to$$\frac{1^{\text {rd }}}{3}$$of escape velocity.... MHT CET 2023 12th May Evening Shift A simple pendulum is oscillating with frequency '$$F$$' on the surface of the earth. It is taken to a depth$$\frac{\mathrm{R}}{3}$$below the surface... MHT CET 2023 12th May Evening Shift The depth at which acceleration due to gravity becomes$$\frac{\mathrm{g}}{2 \mathrm{n}}$$is$$(\mathrm{R}=$$radius of earth,$$\mathrm{g}=$$accele... MHT CET 2023 12th May Morning Shift Time period of simple pendulum on earth's surface is '$$\mathrm{T}$$'. Its time period becomes '$$\mathrm{xT}$$' when taken to a height$$\mathrm{R}$$... MHT CET 2023 12th May Morning Shift The height at which the weight of the body becomes$$\left(\frac{1}{9}\right)^{\text {th }}$$its weight on the surface of earth is$$(\mathrm{R}=$$r... MHT CET 2023 12th May Morning Shift Consider a light planet revolving around a massive star in a circular orbit of radius '$$r$$' with time period '$$T$$'. If the gravitational force of ... MHT CET 2023 11th May Evening Shift The radius of the orbit of a geostationary satellite is (mean radius of earth is '$$R$$', angular velocity about own axis is '$$\omega$$' and accelera... MHT CET 2023 11th May Evening Shift The ratio of energy required to raise a satellite to a height '$$h$$' above the earth's surface to that required to put it into the orbit at the same ... MHT CET 2023 11th May Morning Shift The radius of earth is$$6400 \mathrm{~km}$$and acceleration due to gravity$$\mathrm{g}=10 \mathrm{~ms}^{-2}$$. For the weight of body of mass$$5 \...
MHT CET 2023 11th May Morning Shift
A body of mass '$$\mathrm{m}$$' kg starts falling from a distance 3R above earth's surface. When it reaches a distance '$$R$$' above the surface of th...
MHT CET 2023 10th May Evening Shift
A body is projected vertically from earth's surface with velocity equal to half the escape velocity. The maximum height reached by the satellite is ( ...
MHT CET 2023 10th May Evening Shift
A system consists of three particles each of mass '$$m_1$$' placed at the corners of an equilateral triangle of side '$$\frac{\mathrm{L}}{3}$$', A par...
MHT CET 2023 10th May Morning Shift
A satellite moves in a stable circular orbit round the earth if (where $$\mathrm{V}_{\mathrm{H}}, \mathrm{V}_{\mathrm{c}}$$ and $$\mathrm{V}_{\mathrm{... MHT CET 2023 10th May Morning Shift There is a second's pendulum on the surface of earth. It is taken to the surface of planet whose mass and radius are twice that of earth. The period o... MHT CET 2023 10th May Morning Shift For a satellite orbiting around the earth in a circular orbit, the ratio of potential energy to kinetic energy at same height is MHT CET 2023 9th May Evening Shift Periodic time of a satellite revolving above the earth's surface at a height equal to radius of the earth '$$R$$' is [$$g=$$acceleration due to grav... MHT CET 2023 9th May Evening Shift Consider a planet whose density is same as that of the earth but whose radius is three times the radius '$$R$$' of the earth. The acceleration due to ... MHT CET 2023 9th May Morning Shift A thin rod of length '$$L$$' is bent in the form of a circle. Its mass is '$$M$$'. What force will act on mass '$$m$$' placed at the centre of this ci... MHT CET 2023 9th May Morning Shift A body weighs$$300 \mathrm{~N}$$on the surface of the earth. How much will it weigh at a distance$$\frac{R}{2}$$below the surface of earth? ($$R ...
MHT CET 2023 9th May Morning Shift
A seconds pendulum is placed in a space laboratory orbiting round the earth at a height '$$3 \mathrm{R}$$' from the earth's surface. The time period o...
MHT CET 2022 11th August Evening Shift
A body weighs $$500 \mathrm{~N}$$ on the surface of the earth. At what distance below the surface of the earth it weighs $$250 \mathrm{~N}$$ ? (Radius...
MHT CET 2022 11th August Evening Shift
The masses and radii of the moon and the earth are $$\mathrm{M_1, R_1}$$ and $$\mathrm{M_2, R_2}$$ respectively. Their centres are at a distance $$\ma... MHT CET 2021 24th September Evening Shift The average density of the earth is [g is acceleration due to gravity] MHT CET 2021 24th September Evening Shift The depth from the surface of the earth of radius$$\mathrm{R}$$, at which acceleration due to gravity will be$$60 \%$$of the value on the earth sur... MHT CET 2021 24th September Evening Shift Three point masses, each of mass 'm' are kept at the corners of an equilateral triangle of side 'L'. The system rotates about the centre of the triang... MHT CET 2021 24th September Evening Shift The length of the seconds pendulum is lm on earth. If the mass and diameter of the planet is 1.5 times that of the earth, the length of the seconds pe... MHT CET 2021 24th September Morning Shift If the horizontal velocity given to a satellite is greater than critical velocity but less than the escape velocity at the height, then the satellite ... MHT CET 2021 24th September Morning Shift The period of revolution of planet$$\mathrm{A}$$around the sun is 8 times that of planet$$\mathrm{B}$$. How many times the distance of A from the s... MHT CET 2021 23rd September Evening Shift The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite will satellite is increased to four times th... MHT CET 2021 23rd September Evening Shift A body of mass 'M' and radius 'R', situated on the surface of the earth becomes weightless at its equator when the rotational kinetic energy of the ea... MHT CET 2021 23th September Morning Shift The mass of a spherical planet is 4 times the mass of the earth, but its radius (R) is same as that of the earth. How much work is done is lifting a b... MHT CET 2021 23th September Morning Shift The radius of a planet is twice the radius of the earth. Both have almost equal average mass densities. If '$$V_P$$' and '$$V_E$$' are escape velociti... MHT CET 2021 22th September Evening Shift Two satellites of same mass are launched in circular orbits at heights '$$R$$' and '$$2 R$$' above the surface of the earth. The ratio of their kineti... MHT CET 2021 22th September Evening Shift At a height 'R' above the earth's surface the gravitational acceleration is (R = radius of earth, g = acceleration due to gravity on earth's surface)... MHT CET 2021 22th September Morning Shift The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. If the escape velocity from the earth is '$$...
MHT CET 2021 21th September Evening Shift
For a body of mass '$$m$$', the acceleration due to gravity at a distance '$$R$$' from the surface of the earth is $$\left(\frac{g}{4}\right)$$. Its v...
MHT CET 2021 21th September Evening Shift
The ratio of energy required to raise a satellite of mass '$$m$$' to height '$$h$$' above the earth's surface to that required to put it into the orbi...
MHT CET 2021 21th September Morning Shift
A pendulum is oscillating with frequency '$$n$$' on the surface of the earth. It is taken to a depth $$\frac{R}{2}$$ below the surface of earth. New f...
MHT CET 2021 21th September Morning Shift
When the value of acceleration due to gravity '$$g$$' becomes $$\frac{g}{3}$$ above surface of height '$$h$$' then relation between '$$h$$' and '$$R$$...
MHT CET 2021 21th September Morning Shift
A particle of mass '$$m$$' is kept at rest at a height $$3 R$$ from the surface of earth, where '$$R$$' is radius of earth and '$$M$$' is the mass of ...
MHT CET 2021 20th September Evening Shift
A body is projected from earth's surface with thrice the escape velocity from the surface of the earth. What will be its velocity when it will escape ...
MHT CET 2021 20th September Evening Shift
The depth at which acceleration due to gravity becomes $$\frac{\mathrm{g}}{\mathrm{n}}$$ is [ $$\mathrm{R}$$ = radius of earth, $$\mathrm{g}=$$ accele...
MHT CET 2021 20th September Morning Shift
The depth 'd' below the surface of the earth where the value of acceleration due to gravity becomes $$\left(\frac{1}{n}\right)$$ times the value at th...
MHT CET 2021 20th September Morning Shift
The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is 'V'. For the satellite orbiting at an altitude o...
MHT CET 2020 16th October Morning Shift
The mass of earth is 81 times the mass of the moon and the distance between their centres is $$R$$. The distance from the centre of the earth, where g...
MHT CET 2020 16th October Morning Shift
A body is thrown from the surface of the earth velocity $$\mathrm{v} / \mathrm{s}$$. The maximum height above the earth's surface upto which it will r...
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