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

The excess pressure inside a liquid drop is 500 Nm$$-$$2. If the radius of the drop is 2 mm, the surface tension of liquid is x $$\times$$ 10$$-$$3 Nm$$-$$1. The value of x is _____________.

2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

A small spherical ball of radius 0.1 mm and density 104 kg m$$-$$3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of h will be ___________ m.

(Given g = 10 ms$$-$$2, viscosity of water = 1.0 $$\times$$ 10$$-$$5 N-sm$$-$$2).

3
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1

A liquid of density 750 kgm$$-$$3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 $$\times$$ 10$$-$$2 m2 to A2 = $${{{A_1}} \over 2}$$. The pressure difference between the wide and narrow sections of the pipe is 4500 Pa. The rate of flow of liquid is ___________ $$\times$$ 10$$-$$3 m3s$$-$$1.

4
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-section 1 cm2. A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is 40 cm above the bottom, will be ___________ cms$$-$$1. [Take g = 10 ms$$-$$2]