JEE Main 2021 (Online) 27th July Evening Shift | Gravitation Question 120 | Physics

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational attraction. The angular speed of each particle is :

$$\sqrt {{G \over {2{R^3}}}} $$

$${1 \over 2}\sqrt {{G \over {{R^3}}}} $$

$${1 \over {2R}}\sqrt {{1 \over G}} $$

$${{2G} \over {{R^3}}}$$

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

-1

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $$\times$$ 10³ km. Find the mass of Mars.

$$\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 \times {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} \right\}$$

5.96 $$\times$$ 10¹⁹ kg

3.25 $$\times$$ 10²¹ kg

7.02 $$\times$$ 10²⁵ kg

6.00 $$\times$$ 10²³ kg

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :

$${2^{{1 \over 3}}}$$W

$$\sqrt 2 $$W

JEE Main 2021 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

-1

The minimum and maximum distances of a planet revolving around the sun are x₁ and x₂. If the minimum speed of the planet on its trajectory is v₀ then its maximum speed will be :

$${{{v_0}x_1^2} \over {x_2^2}}$$

$${{{v_0}x_2^2} \over {x_1^2}}$$

$${{{v_0}x_1^{}} \over {x_2^{}}}$$

$${{{v_0}x_2^{}} \over {x_1^{}}}$$

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