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1
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1 English
Hindi

The escape velocity of a body on a planet 'A' is 12 kms$$-$$1. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :

A
12 kms$$-$$1
B
24 kms$$-$$1
C
36 kms$$-$$1
D
6 kms$$-$$1
2
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1 English
Hindi

Water falls from a 40 m high dam at the rate of 9 $$\times$$ 104 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydroelectric energy number of 100 W lamps, that can be lit, is :

(Take g = 10 ms$$-$$2)

A
25
B
50
C
100
D
18
3
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1 English
Hindi

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :

A
$${2 \over 9}$$ F
B
$${16 \over 9}$$ F
C
$${8 \over 9}$$ F
D
F
4
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1 English
Hindi

Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?

A
$$2r_A^2 = r_B^3$$
B
$$r_A^3 = 2r_B^3$$
C
$$r_A^3 = 4r_B^3$$
D
$$T_A^2 - T_B^2 = {{{\pi ^2}} \over {GM}}\left( {r_B^3 - 4r_A^3} \right)$$
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