1
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB, respectively. If TA and TB are the time period of star A and star B, respectively,

Then :
A
$${{{T_A}} \over {{T_B}}} = {\left( {{{{r_A}} \over {{r_B}}}} \right)^{{3 \over 2}}}$$
B
$${T_A} = {T_B}$$
C
$${T_A} > {T_B}$$ (if $${m_A} > {m_B}$$)
D
$${T_A} > {T_B}$$ (if $${r_A} > {r_B}$$)
2
JEE Main 2021 (Online) 20th July Morning Shift
+4
-1
A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.

A
(b)
B
(c)
C
(d)
D
(a)
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately : [Take g = 10 ms$$-$$2, the radius of earth, R = 6400 $$\times$$ 103 m, Take $$\pi$$ = 3.14]
A
84 minutes
B
1200 minutes
C
60 minutes
D
does not change
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $${\overrightarrow L }$$. The magnitude of the areal velocity of the planet is :
A
$${{2L} \over M}$$
B
$${{L} \over 2M}$$
C
$${{L} \over M}$$
D
$${{4L} \over M}$$
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