Answer :
Answer:
Option d - 204 m
Step-by-step explanation:
Given : The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0 kg/m³.
To find : The height of the building ?
Solution :
We have given atmospheric pressures,
[tex]P_{\text{top}}=96\ kPa[/tex]
[tex]P_{\text{bottom}}=98\ kPa[/tex]
The density of air is 1.0 kg/m³ i.e. [tex]\rho_a=1\ kg/m^3[/tex]
Atmospheric pressure reduces with altitude,
The height of the building is given by formula,
[tex]H=\frac{\triangle P}{\rho_a\times g}[/tex]
[tex]H=\frac{P_{\text{bottom}}-P_{\text{top}}}{\rho_a\times g}[/tex]
[tex]H=\frac{(98-96)\times 10^3}{1\times 9.8}[/tex]
[tex]H=\frac{2000}{9.8}[/tex]
[tex]H=204\ m[/tex]
Therefore, Option d is correct.
The height of the building is 204 meter.