MHT CET 2023 11th May Morning Shift | Fluid Mechanics Question 22 | Physics

Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio $$4: 3$$. The rise of liquid in two capillaries is '$$h_1$$' and '$$h_2$$' respectively. If the surface tensions of liquids are in the ratio $$6: 5$$, the ratio of heights $$\left(\frac{h_1}{h_2}\right)$$ is

(Assume that their angles of contact are same)

0.4

0.5

0.8

0.9

MHT CET 2023 11th May Morning Shift

MCQ (Single Correct Answer)

-0

A spherical liquid drop of radius $$\mathrm{R}$$ is divided into 8 equal droplets. If surface tension is $$\mathrm{S}$$, then the work done in this process will be

$$2 \pi R^2 S$$

$$3 \pi \mathrm{R}^2 \mathrm{~S}$$

$$4 \pi R^2 S$$

$$2 \pi \mathrm{RS}^2$$

MHT CET 2023 11th May Morning Shift

MCQ (Single Correct Answer)

-0

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.]

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

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

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

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

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