MHT CET 2019 3rd May Morning Shift | Gravitation Question 105 | Physics

Consider a particle of mass $m$ suspended by a string at the equator. Let $R$ and $M$ denote radius and mass of the earth. If $\omega$ is the angular velocity of rotation of the earth about its own axis, then the tension on the string will be $\left(\cos 0^{\circ}=1\right)$

$\frac{G M m}{R^2}$

$\frac{G M m}{2 R^2}$

$\frac{G M m}{2 R^2}+m \omega^2 R$

$\frac{G M m}{R^2}-m \omega^2 R$

MHT CET 2019 3rd May Morning Shift

MCQ (Single Correct Answer)

-0

A hole is drilled half way to the centre of the earth. A body weighs 300 N on the surface of the earth. How much will, it weigh at the bottom of the hole?

200 N

250 N

120 N

150 N

MHT CET 2019 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

What is the minimum energy required to launch a satellite of mass ' $m$ ' from the surface of the earth of mass ' $M$ ' and radius ' $R$ ' at an altitude $2 R$ ?

$\frac{G M m}{2 R}$

$\frac{2 G M m}{3 R}$

$\frac{G M m}{3 R}$

$\frac{5 G M m}{6 R}$

MHT CET 2019 2nd May Morning Shift

MCQ (Single Correct Answer)

-0

The radius of the earth and the radius of orbit around the sun are 6371 km and $149 \times 10^6 \mathrm{~km}$ respectively. The order of magnitude of the diameter of the orbit is greater than that of earth by

$10^3$

$10^2$

$10^4$

$10^5$

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