1
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1 Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?

A
$$2r_A^2 = r_B^3$$
B
$$r_A^3 = 2r_B^3$$
C
$$r_A^3 = 4r_B^3$$
D
$$T_A^2 - T_B^2 = {{{\pi ^2}} \over {GM}}\left( {r_B^3 - 4r_A^3} \right)$$
2
JEE Main 2022 (Online) 27th June Evening Shift
+4
-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 :

A
2.45 $$\times$$ 1010 m
B
1.45 $$\times$$ 1010 m
C
1.45 $$\times$$ 109 m
D
0.14 $$\times$$ 109 m
3
JEE Main 2022 (Online) 27th June Evening Shift
+4
-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 : A
$$- {{Gm} \over d}\left[ {(4 + \sqrt 2 )m + 4\sqrt 2 M} \right]$$
B
$$- {{Gm} \over d}\left[ {(4 + \sqrt 2 )M + 4\sqrt 2 m} \right]$$
C
$$- {{Gm} \over d}\left[ {3{m^2} + 4\sqrt 2 M} \right]$$
D
$$- {{Gm} \over d}\left[ {6{m^2} + 4\sqrt 2 M} \right]$$
4
JEE Main 2022 (Online) 27th June Morning Shift
+4
-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.

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is true but Statement II is false
D
Statement I is false but Statement II is true
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Mechanics
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Modern Physics
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