The height of a mercury barometer is 75 cm a | vedclass

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

Question

(B) The difference in pressure between sea level and the top of the hill is given by the change in the mercury column height:$\Delta P = (h_1 - h_2) \

Vedclass · Accepted Answer

$2.5$

Vedclass · Answer

(B) The difference in pressure between sea level and the top of the hill is given by the change in the mercury column height:$\Delta P = (h_1 - h_2) 	imes ho_{Hg} 	imes g = (75 - 50) 	imes 10^{-2} \ m 	imes ho_{Hg} 	imes g$ ... $(i)$The pressure difference is also equal to the weight of the air column of height $h$:$\Delta P = h 	imes ho_{air} 	imes g$ ... $(ii)$Equating $(i)$ and $(ii)$:$h 	imes ho_{air} 	imes g = 25 	imes 10^{-2} 	imes ho_{Hg} 	imes g$$h = 25 	imes 10^{-2} 	imes \left( \frac{ho_{Hg}}{ho_{air}} ight)$Given $\frac{ho_{Hg}}{ho_{air}} = 10^4$,we get:$h = 25 	imes 10^{-2} 	imes 10^4 = 2500 \ m$Converting to kilometers,the height of the hill is $2.5 \ km$.

The height of a mercury barometer is $75 \ cm$ at sea level and $50 \ cm$ at the top of a hill. The ratio of the density of mercury to that of air is $10^4$. The height of the hill is ....... $km$.

Similar Questions

The value of $g$ at a place decreases by $2\%$. The barometric height of mercury:

When an airplane flies at a higher altitude,it is not advisable to keep a fountain pen in one's pocket. Why?

What is the pressure in $atm$ on a swimmer $10\; m$ below the surface of a lake?

Discuss the variation of pressure with depth or pressure produced due to fluid depth $h$ and density of fluid $\rho$.

What does it mean when the height of a barometer is rising?

Vedclass Test Series

Exam Paper Generator

Online Exam Module