1
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $$\times$$ 103 km. Find the mass of Mars.

$$\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 \times {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} \right\}$$
A
5.96 $$\times$$ 1019 kg
B
3.25 $$\times$$ 1021 kg
C
7.02 $$\times$$ 1025 kg
D
6.00 $$\times$$ 1023 kg
2
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation

$$F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]$$

Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :
A
2F0T/M
B
F0T/2M
C
4F0T/3M
D
F0T/3M
3
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The resistance of a conductor at 15$$^\circ$$C is 16$$\Omega$$ and at 100$$^\circ$$C is 20$$\Omega$$. What will be the temperature coefficient of resistance of the conductor?
A
0.010$$^\circ$$C$$-$$1
B
0.033$$^\circ$$C$$-$$1
C
0.003$$^\circ$$C$$-$$1
D
0.042$$^\circ$$C$$-$$1
4
JEE Main 2021 (Online) 27th July Evening Shift
Numerical
+4
-1
Change Language
In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias $$\left( {{{{I_1}} \over {{I_2}}}} \right)$$ will be x : 1. The value of x will be _____________.
JEE Main 2021 (Online) 27th July Evening Shift Physics - Rotational Motion Question 76 English
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