A body weighs 160 g in air, 130 g in water and 136 g in oil. The specific gravity of oil is
1. 0.2 

2. 0.6

3. 0.7 

4. 0.8

Three liquids of densities \(d,\) \(2d\) and \(3d\) are mixed in equal proportions of weights. The relative density of the mixture is: 

By sucking through a straw, a student can reduce the pressure in his lungs to 750 mm of Hg $(\mathrm{density} = 13.6 \mathrm{gm}/{\mathrm{cm}}^3).$ Using the straw, he can drink water from a glass up to a maximum depth of :

1.  10 cm 

2.  75 cm

3.  13.6 cm 

4.  1.36 cm

If the terminal speed of a sphere of gold $(\mathrm{density} = 19.5 \mathrm{kg}/{\mathrm{m}}^3)$ is 0.2 m/s in a viscous liquid $(\mathrm{density} = 1.5 \mathrm{kg}/{\mathrm{m}}^3),$ find the terminal speed of a sphere of silver $(\mathrm{density} = 10.5 \mathrm{kg}/{\mathrm{m}}^3)$ of the same size in the same liquid

1.  0.4 m/s 

2.  0.133 m/s

3.  0.1 m/s 

4.  0.2 m/s

$\mathrm{A} \mathrm{spherical} \mathrm{solid} \mathrm{ball} \mathrm{of} \mathrm{volume} \mathrm{V} \mathrm{is} \mathrm{made} \mathrm{of} \mathrm{a} \mathrm{material} \mathrm{of} \mathrm{density} {\mathrm{\rho }}_1. \mathrm{It} \mathrm{is} \mathrm{falling} \mathrm{through} \mathrm{a} \mathrm{liquid} \mathrm{of} \mathrm{density} {\mathrm{\rho }}_1 ({\mathrm{\rho }}_2 < {\mathrm{\rho }}_1). \mathrm{Assume} \mathrm{that} \mathrm{the}$
$\mathrm{liquid} \mathrm{applies} \mathrm{a} \mathrm{viscous} \mathrm{force} \mathrm{on} \mathrm{the} \mathrm{ball} \mathrm{that} \mathrm{is} \mathrm{proportional} \mathrm{to} \mathrm{the} \mathrm{square} \mathrm{of} \mathrm{its} \mathrm{speed} \mathrm{v}, \mathrm{i}.\mathrm{e}., {\mathrm{F}}_{\mathrm{viscous}} = –{\mathrm{kv}}^2 (\mathrm{k} > 0). \mathrm{The} \mathrm{terminal}$
$\mathrm{speed} \mathrm{of} \mathrm{the} \mathrm{ball} \mathrm{is}$

1.  $\sqrt{\frac{\mathrm{Vg}\left({\mathrm{\rho }}_1 - {\mathrm{\rho }}_2\right)}{\mathrm{k}}}$

2.  $\frac{{\mathrm{Vg\rho }}_1}{\mathrm{k}}$

3.  $\sqrt{\frac{{\mathrm{Vg\rho }}_1}{\mathrm{k}}}$

4.  $\frac{\mathrm{Vg}\left({\mathrm{\rho }}_1 - {\mathrm{\rho }}_2\right)}{\mathrm{k}}$

$1 {\mathrm{m}}^3$ water is brought inside the lake up to 200 metres depth from the surface of the lake. What will be changed in the volume when the bulk modulus of elastically of water is 22000 atmosphere? 
$(\mathrm{density} \mathrm{of} \mathrm{water} \mathrm{is} 1 \times {10}^3 \mathrm{kg}/{\mathrm{m}}^3 \mathrm{atmosphere} \mathrm{pressure} = {10}^{5 }\mathrm{N}/{\mathrm{m}}^2 \mathrm{and} \mathrm{g} = 10 \mathrm{m}/{\mathrm{s}}^2 )$

1.  8.9 × ${10}^{–3} {\mathrm{m}}^3$

2.  7.8 × ${10}^{–3} {\mathrm{m}}^3$

3.  9.1 × ${10}^{–4 }{\mathrm{m}}^3$

4.  8.7 × ${10}^{–4 }{\mathrm{m}}^3$

Two horizontal pipes have radii in ratio 1 : 2 and
lengths in ratio 1 : 2. Same viscous fluid flows at
same pressure difference in both the pipes. The flow
rates are in the ratio

1. 1 : 2

2. 1 : 4

3. 1 : 8

4. 1 : 16

An ice block of volume $\frac{32\mathrm{\pi }}{3}c{m}^3$is placed in
gravity free space. When ice completely melts, then
its surface area - (Neglect difference in density of ice and water)

1. $4\mathrm{\pi } {\mathrm{cm}}^2$

2. $8\mathrm{\pi } {\mathrm{cm}}^2$

3. $16\mathrm{\pi } {\mathrm{cm}}^2$

4. $\mathrm{\pi } {\mathrm{cm}}^2$

The density of ice is x gm/cc and that of water is y gm/cc. What is the change in volume in cc, when m gm of ice melts?

1.  M(y-x)

2.  (y-x)/m

3.  mxy(x-y)

4.  m(1/y-1/x)

A soap bubble, having a radius of \(1~\text{mm}\), is blown from a detergent solution having a surface tension of \(2.5\times 10^{-2}~\text{N/m}\)$$. The pressure inside the bubble equals at a point \(Z_0\) below the free surface of the water in a container. Taking \(g = 10~\text{m/s}^{2}\)${\mathrm{}}^{}$, the density of water \(= 10^{3}~\text{kg/m}^3\)${\mathrm{}}^{}$, the value of \(Z_0\) is:
1. \(0.5~\text{cm}\)
2. \(100~\text{cm}\)
3. \(10~\text{cm}\)
4. \(1~\text{cm}\)