An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density 103 kg/m3. The pressure inside the bubble is 1100 Nm-2 greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid ? (g = 9.8 ms-2)

Question

An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density 103 kg/m3. The pressure inside the bubble is 1100 Nm-2 greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid ? (g = 9.8 ms-2) (A) 0.1 m (B) 0.15 m (C) 0.20 m (D) 0.25 m

Tardigrade Admin · Accepted Answer

h dg + (LT/r) = 1100 h × 103 × 4.8 = 1100 - (2× 0.06/0.1× 10-2) = 980 h = (980/9.8× 103) = 0.1 m

Q. An air bubble of radius $0.1 c m$ is in a liquid having surface tension $0.06 N / m$ and density $1 0^{3} k g / m^{3}$ . The pressure inside the bubble is 1100 $N m^{- 2}$ greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid ? $(g = 9.8 m s^{- 2})$

0.1 m

0.15 m

0.20 m

0.25 m

$h d g + \frac{L T}{r} = 1100$
$h \times 1 0^{3} \times 4.8 = 1100 - \frac{2 \times 0.06}{0.1 \times 1 0 ^{- 2}}$
$= 980$
$h = \frac{980}{9.8 \times 1 0 ^{3}} = 0.1 m$

Q. An air bubble of radius 0.1cm is in a liquid having surface tension 0.06N/m and density 103kg/m3. The pressure inside the bubble is 1100 Nm−2 greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid ? (g=9.8ms−2)