A bubble of volume V_0 is released from a dep | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) At depth $h$,the total pressure $P_1$ is given by $P_1 = P + \rho gh$,where $P$ is the atmospheric pressure,$\rho$ is the density of water,and $g$

Vedclass · Accepted Answer

$V_0(1 + \frac{\rho gh}{P})$

Vedclass · Answer

(D) At depth $h$,the total pressure $P_1$ is given by $P_1 = P + \rho gh$,where $P$ is the atmospheric pressure,$\rho$ is the density of water,and $g$ is the acceleration due to gravity.At the surface,the pressure $P_2$ is equal to the atmospheric pressure $P$.Since the temperature is constant,we apply Boyle's Law: $P_1 V_1 = P_2 V_2$.Here,$V_1 = V_0$ and $V_2 = V$ (the volume at the surface).Substituting the values: $(P + \rho gh) V_0 = P V$.Solving for $V$: $V = V_0 \frac{(P + \rho gh)}{P} = V_0 (1 + \frac{\rho gh}{P})$.

$A$ bubble of volume $V_0$ is released from a depth $h$ in a lake. If the atmospheric pressure is $P$ and the temperature is assumed to be constant,what is the new volume of the bubble when it reaches the surface? (Density of water is $\rho$)

Similar Questions

The density of the atmosphere is $1.29 \ kg/m^3$. If the atmospheric pressure is $1.013 \times 10^5 \ Pa$,how high would the atmosphere extend if the density were uniform? $(g = 9.81 \ m/s^2)$

From the adjacent figure,the correct observation is:

Torricelli's barometer used mercury. Pascal duplicated it using French wine of density $984 \; kg \; m^{-3}$. Determine the height (in $m$) of the wine column for normal atmospheric pressure.

The atmospheric pressure and height of the barometer column are $10^5 \, Pa$ and $760 \, mm$ respectively on the Earth's surface. If the barometer is taken to the Moon,then the column height will be ........ $mm$.

$A$ barometer kept in an elevator reads $76 \, cm$ when the elevator is accelerating upwards. The most likely pressure inside the elevator (in $cm$ of $Hg$) is ........

Vedclass Test Series

Exam Paper Generator

Online Exam Module