JEE Main 2022 (Online) 28th June Morning Shift | Gravitation Question 87 | Physics

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

-1

Two planets A and B of equal mass are having their period of revolutions T_A and T_B such that T_A = 2T_B. These planets are revolving in the circular orbits of radii r_A and r_B respectively. Which out of the following would be the correct relationship of their orbits?

$$2r_A^2 = r_B^3$$

$$r_A^3 = 2r_B^3$$

$$r_A^3 = 4r_B^3$$

$$T_A^2 - T_B^2 = {{{\pi ^2}} \over {GM}}\left( {r_B^3 - 4r_A^3} \right)$$

JEE Main 2022 (Online) 27th June Evening Shift

MCQ (Single Correct Answer)

-1

The distance of the Sun from earth is 1.5 $$\times$$ 10¹¹ m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :

2.45 $$\times$$ 10¹⁰ m

1.45 $$\times$$ 10¹⁰ m

1.45 $$\times$$ 10⁹ m

0.14 $$\times$$ 10⁹ m

JEE Main 2022 (Online) 27th June Evening Shift

MCQ (Single Correct Answer)

-1

Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is :

JEE Main 2022 (Online) 27th June Evening Shift Physics - Gravitation Question 89 English

$$ - {{Gm} \over d}\left[ {(4 + \sqrt 2 )m + 4\sqrt 2 M} \right]$$

$$ - {{Gm} \over d}\left[ {(4 + \sqrt 2 )M + 4\sqrt 2 m} \right]$$

$$ - {{Gm} \over d}\left[ {3{m^2} + 4\sqrt 2 M} \right]$$

$$ - {{Gm} \over d}\left[ {6{m^2} + 4\sqrt 2 M} \right]$$

JEE Main 2022 (Online) 27th June Morning Shift

MCQ (Single Correct Answer)

-1

Given below are two statements :

Statement I : The law of gravitation holds good for any pair of bodies in the universe.

Statement II : The weight of any person becomes zero when the person is at the centre of the earth.

In the light of the above statements, choose the correct answer from the options given below.

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

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