1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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 $\left(\cos 0^{\circ}=1\right)$

A
$\frac{G M m}{R^2}$
B
$\frac{G M m}{2 R^2}$
C
$\frac{G M m}{2 R^2}+m \omega^2 R$
D
$\frac{G M m}{R^2}-m \omega^2 R$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-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?

A
200 N
B
250 N
C
120 N
D
150 N
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-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 $2 R$ ?

A
$\frac{G M m}{2 R}$
B
$\frac{2 G M m}{3 R}$
C
$\frac{G M m}{3 R}$
D
$\frac{5 G M m}{6 R}$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-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

A
$10^3$
B
$10^2$
C
$10^4$
D
$10^5$
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