An ornament made of silver is suspected to be hollow. It weighs 288.75 gm in air. It can displace 30 cc of water. If the specific gravity of silver is 10.5 . The volume of cavity is

1. 2.5 cc

2. 3 cc

3. 5 cc

4. 7.5 cc

  Two soap bubbles of radii ${\mathrm{r}}_{\mathrm{a}} \mathrm{and} {\mathrm{r}}_2, {\mathrm{r}}_1>{\mathrm{r}}_2$ get attached to each other to have a common interface. The radius of this interface is

1. ${\mathrm{r}}_1-{\mathrm{r}}_2$

2. ${\mathrm{r}}_1+{\mathrm{r}}_2$

3. $\frac{{\mathrm{r}}_1{\mathrm{r}}_2}{{\mathrm{r}}_1+{\mathrm{r}}_2}$

4. $\frac{{\mathrm{r}}_1{\mathrm{r}}_2}{\mathrm{r}-{\mathrm{r}}_2}$

In the figure shown.

1. p₁ > p₀

2. p > p₀

3. p = p₀

4. p = 0

A large 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(given surface tension of liquid is T, density of liquid is $\rho$)

1. $\sqrt{\frac{\mathrm{T}}{\mathrm{\rho }}\left(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right)}$

2. $\sqrt{\frac{2\mathrm{T}}{\mathrm{\rho }}\left(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right)}$

3. $\sqrt{\frac{4\mathrm{T}}{\mathrm{\rho }}\left(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right)}$

4. $\sqrt{\frac{6\mathrm{T}}{\mathrm{\rho }}\left(\frac{1}{\mathrm{r}}-\frac{1}{\mathrm{R}}\right)}$

The intensive property among the following is

1. energy

2. volume

3. entropy

4. temperature

If the work done in blowing a soap bubbie of volume V is W, then the work done in blowing a soap bubble of volume 2V will be

1. W

2. 2W

3. $\sqrt{2}$W

4. W (4)^1/3

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards right. Pressure is

(i) maximum at, and (ii) minimum at

1. (i) B (ii) D

2. (i) C (ii) D

3. (i) B (ii) C

4. (i) B (ii) A

A tank is filled to a height H. The range of water coming out of a hole which is a depth H/4 from the surface of water level is

1. $\frac{2H}{\sqrt{3}}$

2. $\frac{\sqrt{3}\mathrm{H}}{2}$

3. $\sqrt{3}H$

4. $\frac{3H}{4}$

The material of a wire has density of 1.4 gm/$c{m}^3$.   If it is not wetted by a liquid of surface tension 44 dyne/cm then the maximum radius of the wire which can float on the surface of liquid is

1. $\frac{1}{7}cm$

2. $\frac{5}{7}cm$

3. $\frac{5}{14}cm$

4. $\frac{2}{7}cm$

Sudden fail of atmospheric pressure by a large amount indicates

(1) storm

(2) rain

(3) fair weather.

(4) cold wave.