1
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

The radii of two planets A and B are in the ratio 2 : 3. Their densities are 3$$\rho$$ and 5$$\rho$$ respectively. The ratio of their acceleration due to gravity is :

A
9 : 4
B
9 : 8
C
9 : 10
D
2 : 5
2
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

A
40 hours
B
36 hours
C
30 hours
D
25 hours
3
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

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
4
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

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
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