MHT CET 2023 11th May Morning Shift | Fluid Mechanics Question 24 | Physics

A body of density '$$\rho$$' is dropped from rest at a height '$$h$$' into a lake of density '$$\sigma' (\sigma>\rho)$$. The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces)

$$\frac{\mathrm{h} \rho}{(\sigma-\rho)}$$

$$\frac{h \rho}{(\sigma+\rho)}$$

$$\frac{\mathrm{h} \rho}{(\rho-\sigma)}$$

$$\frac{2 \mathrm{~h} \rho}{(\sigma-\rho)}$$

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

-0

'$$n$$' number of liquid drops each of radius '$$r$$' coalesce to form a single drop of radius '$$R$$'. The energy released in the process is converted into the kinetic energy of the big drop so formed. The speed of the big drop is

$$[\mathrm{T}=$$ surface tension of liquid, $$\rho=$$ density of liquid.]

$$\sqrt{\frac{T}{\rho}\left[\frac{1}{r}-\frac{1}{R}\right]}$$

$$\sqrt{\frac{2 \mathrm{~T}}{\rho}\left[\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right]}$$

$$\sqrt{\frac{4 \mathrm{~T}}{\rho}\left[\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right]}$$

$$\sqrt{\frac{6 \mathrm{~T}}{\rho}\left[\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right]}$$

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

-0

At critical temperature, the surface tension of liquid is

zero

infinity

unity

same as that at any other temperature

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

-0

A metal sphere of mass '$$m$$' and density '$$\sigma_1$$' falls with terminal velocity through a container containing liquid. The density of liquid is '$$\sigma_2$$'. The viscous force acting on the sphere is

$$m g\left(1 + \frac{\sigma_2}{\sigma_1}\right)$$

$$m g\left(1-\frac{\sigma_1}{\sigma_2}\right)$$

$$\quad \mathrm{mg}\left(1-\frac{\sigma_2}{\sigma_1}\right)$$

$$m g\left(1+\frac{\sigma_1}{\sigma_2}\right)$$

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