JEE Main 2022 (Online) 26th July Morning Shift | Properties of Matter Question 111 | Physics

A water drop of radius $$1 \mathrm{~cm}$$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $$\mathrm{cm}$$, then the gain in surface energy upto first decimal place will be :

(Given $$\pi=3.14$$ )

$$8.5 \times 10^{-4} \mathrm{~J}$$

$$8.2 \times 10^{-4} \mathrm{~J}$$

$$7.5 \times 10^{-4} \mathrm{~J}$$

$$5.3 \times 10^{-4} \mathrm{~J}$$

JEE Main 2022 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

A drop of liquid of density $$\rho$$ is floating half immersed in a liquid of density $${\sigma}$$ and surface tension $$7.5 \times 10^{-4}$$ Ncm^$$-$$1. The radius of drop in $$\mathrm{cm}$$ will be :

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

$$ \frac{15}{\sqrt{(2 \rho-\sigma)}} $$

$$\frac{15}{\sqrt{(\rho-\sigma)}}$$

$$\frac{3}{2 \sqrt{(\rho-\sigma)}}$$

$$\frac{3}{20 \sqrt{(2 \rho-\sigma)}}$$

JEE Main 2022 (Online) 30th June Morning Shift

MCQ (Single Correct Answer)

-1

An air bubble of negligible weight having radius r rises steadily through a solution of density $$\sigma$$ at speed v. The coefficient of viscosity of the solution is given by :

$$\eta = {{4r\sigma g} \over {9v}}$$

$$\eta = {{2{r^2}\sigma g} \over {9v}}$$

$$\eta = {{2\pi {r^2}\sigma g} \over {9v}}$$

$$\eta = {{2{r^2}\sigma g} \over {3\pi v}}$$

JEE Main 2022 (Online) 29th June Morning Shift

MCQ (Single Correct Answer)

-1

A wire of length L is hanging from a fixed support. The length changes to L₁ and L₂ when masses 1 kg and 2 kg are suspended respectively from its free end. Then the value of L is equal to :

$$\sqrt {{L_1}{L_2}} $$

$${{{L_1} + {L_2}} \over 2}$$

$$2{L_1} - {L_2}$$

$$3{L_1} - 2{L_2}$$

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