1
JEE Main 2024 (Online) 4th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

A $$90 \mathrm{~kg}$$ body placed at $$2 \mathrm{R}$$ distance from surface of earth experiences gravitational pull of :

($$\mathrm{R}=$$ Radius of earth, $$\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}$$)

A
300 N
B
225 N
C
100 N
D
120 N
2
JEE Main 2024 (Online) 4th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

Correct formula for height of a satellite from earths surface is :

A
$$\left(\frac{T^2 R^2 g}{4 \pi^2}\right)^{1 / 3}-R$$
B
$$\left(\frac{T^2 R^2 g}{4 \pi}\right)^{1 / 2}-R$$
C
$$\left(\frac{T^2 R^2 g}{4 \pi^2}\right)^{-1 / 3}+R$$
D
$$\left(\frac{T^2 R^2}{4 \pi^2 g}\right)^{1 / 3}-R$$
3
JEE Main 2024 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

A metal wire of uniform mass density having length $$L$$ and mass $$M$$ is bent to form a semicircular arc and a particle of mass $$\mathrm{m}$$ is placed at the centre of the arc. The gravitational force on the particle by the wire is :

A
$$\frac{\mathrm{GmM} \pi^2}{\mathrm{~L}^2}$$
B
$$\frac{\mathrm{GMm} \pi}{2 \mathrm{~L}^2}$$
C
0
D
$$\frac{2 \mathrm{GmM} \pi}{\mathrm{L}^2}$$
4
JEE Main 2024 (Online) 1st February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A light planet is revolving around a massive star in a circular orbit of radius $\mathrm{R}$ with a period of revolution T. If the force of attraction between planet and star is proportional to $\mathrm{R}^{-3 / 2}$ then choose the correct option :
A
$\mathrm{T}^2 \propto \mathrm{R}^{7 / 2}$
B
$\mathrm{T}^2 \propto \mathrm{R}^3$
C
$\mathrm{T}^2 \propto \mathrm{R}^{5 / 2}$
D
$\mathrm{T}^2 \propto \mathrm{R}^{3 / 2}$
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