If an air bubble rises from the bottom of a mercury tank to the top its volume become 11-2times- When normal pressure is 76 cm of Hg then the depth of the Hg tank is

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Accelerating Containers

If an air bub...

Question

If an air bubble rises from the bottom of a mercury tank to the top its volume become $1 \frac{1}{2}$ times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is

38 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

132 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

76 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

49 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 38 cm
let the height be h
pressure at the bottom = h + 76 (atmospheric pressure)
now as it reaches at the top, pressure = 76 (only atmospheric pressure now)
at constant temperature we can apply Boyle's law
here $P_{1}$ = h + 76
$P_{2}$ = 76
$V_{2} = \frac{3}{2} V_{1}$
so by Boyle's law, we get
$P_{1} V_{1} = P_{2} V_{2}$
on solving this gives h = 38 cm

Suggest Corrections

Similar questions

Q. An air bubble situated at the bottom of an open kerosene tank rises to the top surface. It is observed that at the top the volume of the bubble is thrice its initial volume. If the atmospheric pressure is 72 cm of Hg, and mercury is 17 times heavier than kerosene the depth of the tank is:

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is

Q. At what depth in an ocean will a bubble of air have one fourth the volume it will have on reaching the surface? (Atmospheric pressure

= 76 c m

H g

and density of

H g = 13.6 g c m^{- 3}

)

An air bubble rises from bottom to top of a liquid of density 1.5 g/cm $^{3}$ . If its volume is doubled, the depth of liquids is

Join BYJU'S Learning Program

If an air bubble rises from the bottom of a mercury tank to the top its volume become 112times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is

If an air bubble rises from the bottom of a mercury tank to the top its volume become $1 \frac{1}{2}$ times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is