The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be

(a)$\sqrt{\frac{2G{M}^{2}}{R}}$                                              (b)$\sqrt{\frac{2GM}{g}}$

(c)$\sqrt{\frac{2GM}{{R}^{3}}}$                                                (d)$\sqrt{\frac{2GR}{M}}$

Concept Questions :-

Escape velocity
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Difficulty Level:

A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass $\frac{1}{7}$ of earth's mass and radius is half that of the earth ?

(a)  200 gm wt

(b)  400 gm wt

(c)  50 gm wt

(d)  300 gm wt

Concept Questions :-

Acceleration due to gravity
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Difficulty Level:

What will be the acceleration due to gravity at height h if h >> R  where R is radius of earth and g is acceleration due to gravity on the surface of earth ?

(a) $\frac{g}{{\left(1+\frac{h}{R}\right)}^{2}}$                (b) $g\left(1-\frac{2h}{R}\right)$

(c) $\frac{g}{{\left(1-\frac{h}{R}\right)}^{2}}$                 (d)$g\left(1-\frac{h}{R}\right)$

Concept Questions :-

Acceleration due to gravity
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Difficulty Level:

How many times is escape velocity, of orbital velocity for a satellite revolving near earth?

(a)$\sqrt{2}$ times                    (b) 2 times

(c) 3 times                       (d) 4 times

Concept Questions :-

Orbital velocity

Difficulty Level:

Escape velocity on earth is 11.2 km/s. What would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth ?

(a) 112 km/s                        (b) 11.2 km/s

(c) 1.12 km/s                       (d) 3.7 km/s

Concept Questions :-

Escape velocity
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Difficulty Level:

If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect ?

(a)  Viscous forces                    (b)   Archimedes uplift

(c)  Electrostatic force               (d)   None of the above

Concept Questions :-

Acceleration due to gravity
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Difficulty Level:

The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to

(a) $\frac{d}{{R}^{2}}$                             (b) $d{R}^{2}$

(c) dR                              (d) $\frac{d}{r}$

Concept Questions :-

Acceleration due to gravity
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Difficulty Level:

The weight of a body at the centre of the earth is -

(a) Zero

(b) Infinite

(c) Same as on the surface of the earth

(d) None of the above

Concept Questions :-

Acceleration due to gravity

Difficulty Level:

A spherical planet far out in space has a mass ${M}_{0}$ and diameter ${D}_{0}$. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

(a) $G{M}_{0}/{{D}_{0}}^{2}$             (b)

(c)$4G{M}_{0}/{{{D}^{2}}_{0}}_{}$            (d)

Concept Questions :-

Acceleration due to gravity
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the radius of a planet is R and its density is $\mathrm{\rho }$, the escape velocity from its surface will be

(a)                          (b)

(c)${V}_{e}\propto \frac{\sqrt{p}}{R}$                         (d)

Concept Questions :-

Escape velocity