1
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at $$\mathrm{A}$$ is $$1.5 \mathrm{~cm}^{2}$$, and $$\mathrm{B}$$ is $$25 \mathrm{~mm}^{2}$$, if the speed of liquid at $$\mathrm{B}$$ is $$60 \mathrm{~cm} / \mathrm{s}$$ then $$\left(\mathrm{P}_{\mathrm{A}}-\mathrm{P}_{\mathrm{B}}\right)$$ is :

(Given $$\mathrm{P}_{\mathrm{A}}$$ and $$\mathrm{P}_{\mathrm{B}}$$ are liquid pressures at $$\mathrm{A}$$ and $$\mathrm{B}$$% points.

density $$\rho=1000 \mathrm{~kg} \mathrm{~m}^{-3}$$

$$\mathrm{A}$$ and $$\mathrm{B}$$ are on the axis of tube

A
$$27 \mathrm{~Pa}$$
B
$$175 \mathrm{~Pa}$$
C
$$135 \mathrm{~Pa}$$
D
$$36 \mathrm{~Pa}$$
2
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1

Under isothermal condition, the pressure of a gas is given by $$\mathrm{P}=a \mathrm{~V}^{-3}$$, where $$a$$ is a constant and $$\mathrm{V}$$ is the volume of the gas. The bulk modulus at constant temperature is equal to

A
$$\frac{P}{2}$$
B
2 P
C
3 P
D
P
3
JEE Main 2023 (Online) 12th April Morning Shift
+4
-1
Out of Syllabus

A body cools from $$80^{\circ} \mathrm{C}$$ to $$60^{\circ} \mathrm{C}$$ in 5 minutes. The temperature of the surrounding is $$20^{\circ} \mathrm{C}$$. The time it takes to cool from $$60^{\circ} \mathrm{C}$$ to $$40^{\circ} \mathrm{C}$$ is :

A
500 s
B
$$\frac{25}{3} \mathrm{~S}$$
C
450 s
D
420 s
4
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1

Eight equal drops of water are falling through air with a steady speed of $$10 \mathrm{~cm} / \mathrm{s}$$. If the drops coalesce, the new velocity is:-

A
$$40 \mathrm{~cm} / \mathrm{s}$$
B
$$16 \mathrm{~cm} / \mathrm{s}$$
C
$$10 \mathrm{~cm} / \mathrm{s}$$
D
$$5 \mathrm{~cm} / \mathrm{s}$$
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