JEE Main 2017 (Online) 9th April Morning Slot | Gravitation Question 117 | Physics

JEE Main 2017 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

The mass density of a spherical body is given by
$$\rho $$ (r) = $${k \over r}$$ for r $$ \le $$ R and $$\rho $$ (r) = 0 for r > R,

where r is the distance from the centre.

The correct graph that describes qualitatively the acceleration, a, of a test particle as a function of r is :

JEE Main 2017 (Online) 9th April Morning Slot Physics - Gravitation Question 114 English Option 1

JEE Main 2017 (Online) 9th April Morning Slot Physics - Gravitation Question 114 English Option 2

JEE Main 2017 (Online) 9th April Morning Slot Physics - Gravitation Question 114 English Option 3

JEE Main 2017 (Online) 9th April Morning Slot Physics - Gravitation Question 114 English Option 4

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh $${3 \over 4}$$ W. Radius of the Earth is 6400 km and g=10 m/s².

1.1 $$ \times $$ 10⁻³ rad/s

0.83 $$ \times $$ 10⁻³ rad/s

0.63 $$ \times $$ 10⁻³ rad/s

0.28 $$ \times $$ 10⁻³ rad/s

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

-1

The variation of acceleration due to gravity $$g$$ with distance d from centre of the earth is best represented by (R = Earth’s radius):

JEE Main 2017 (Offline) Physics - Gravitation Question 119 English Option 1

JEE Main 2017 (Offline) Physics - Gravitation Question 119 English Option 2

JEE Main 2017 (Offline) Physics - Gravitation Question 119 English Option 3

JEE Main 2017 (Offline) Physics - Gravitation Question 119 English Option 4

JEE Main 2016 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth’s surface. The radius of the earth is R, while its mass is M. The gravitational pull F_G on the astronaut is :

Zero since astronaut feels weightless

0 < F_G < $${{GMm} \over {{R^2}}}$$

$${{GMm} \over {{{\left( {R + h} \right)}^2}}}$$ < F_G < $${{GMm} \over {{R^2}}}$$

F_G = $${{GMm} \over {{{\left( {R + h} \right)}^2}}}$$

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