Consider that the Earth is revolving around the Sun in a circular orbit with a period T. The area of the circular orbit is directly proportional to

$T^{2 / 3}$

$T^{1 / 3}$

$T^{4 / 3}$

$T^{1 / 2}$

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The correct Answer is:C

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Updated on:21/07/2023

Class 12 PHYSICS NTA NEET SET 67

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Question 1 - Select One or More
A satellite is revolving round the earth in circular orbit
Aif mass of earth is made four times, keeping other factors constant, orbital speed of satellite will become two times
Bcorresponding to change in part(a), times period of satellite will become half
Cwhen value of $G$ is made two times orbital speed increases and time period decreases
D $G$ has no effect on orbital speed and time period
Question 1 - Select One
Consider a planet moving around a star in an elliptical orbit with period T. Area of elliptical orbit is proportional to
A $T^{4 / 3}$
B $T$
C $T^{20}$
D $T^{1 / 2}$
Question 1 - Select One
If a planet of mass $m$ is revolving around the sun in a circular orbit of radius $r$ with time period, $T$ then mass of the sun is
A $4 π^{2} r^{3} / G T$
B $4 π^{2} r^{3} / G T^{2}$
C $4 π^{2} r / G T$
D $4 π^{2} r^{3} / G^{2} T^{2}$
Question 1 - Select One
A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to $r^{- 3 / 2}$ then the quare of time period is proportional to
A $r^{3} / 2$
B $r^{2}$
Cr
D $r^{5 / 2}$
Question 1 - Select One
r denotes the distance between the sun and the earth. Assume that the earth moves around the sun in a circular orbit of radius r. The angular momentum of the earth around the sun is proportional to
A $r$
B $r^{3}$
C $\sqrt{r}$
D $r^{2}$
Question 1 - Select One
Assertion (A) : Two artificial satellites havirig different masses and revolving around the Earth in the same circular orbit have same speed.
Reason (R) : The speed of a satellite is directly proportional to the radius of its orbit.
ABoth A and R are individually true and R is the correct explanation of A
BBoth A and R are individually true but R is not the correct explanation of A
CA is true but R is false
DA is false but R is true

Consider that the Earth is revolving around the Sun in a circular orbit with a period T. The area of the circular orbit is directly proportional to

The correct Answer is:C

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A satellite is revolving round the earth in circular orbit

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If a planet of mass $m$ is revolving around the sun in a circular orbit of radius $r$ with time period, $T$ then mass of the sun is

A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to $r^{- 3 / 2}$ then the quare of time period is proportional to

r denotes the distance between the sun and the earth. Assume that the earth moves around the sun in a circular orbit of radius r. The angular momentum of the earth around the sun is proportional to

Assertion (A) : Two artificial satellites havirig different masses and revolving around the Earth in the same circular orbit have same speed.
Reason (R) : The speed of a satellite is directly proportional to the radius of its orbit.

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Consider that the Earth is revolving around the Sun in a circular orbit with a period T. The area of the circular orbit is directly proportional to

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A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to r−3/2 then the quare of time period is proportional to

r denotes the distance between the sun and the earth. Assume that the earth moves around the sun in a circular orbit of radius r. The angular momentum of the earth around the sun is proportional to

Assertion (A) : Two artificial satellites havirig different masses and revolving around the Earth in the same circular orbit have same speed. Reason (R) : The speed of a satellite is directly proportional to the radius of its orbit.

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NTA MOCK TESTS-NTA NEET SET 67-PHYSICS

If a planet of mass $m$ is revolving around the sun in a circular orbit of radius $r$ with time period, $T$ then mass of the sun is

A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to $r^{- 3 / 2}$ then the quare of time period is proportional to

Assertion (A) : Two artificial satellites havirig different masses and revolving around the Earth in the same circular orbit have same speed.
Reason (R) : The speed of a satellite is directly proportional to the radius of its orbit.