Atmospheric Pressure — Prelims Questions

A mercury barometer reads $750,\text{mm}$ at sea level. If the density of mercury is $13.6 \times 10^3,\text{kg/m}^3$ and acceleration due to gravity is $9.8,\text{m/s}^2$, what is the atmospheric pressure in Pascals?

At higher altitudes, water boils at a lower temperature because:

A suction cup with a radius of $5,\text{cm}$ is pressed against a smooth wall. If the atmospheric pressure is $1.0 \times 10^5,\text{Pa}$ and the pressure inside the cup is negligible, what is the maximum force required to pull the cup off the wall?

Which of the following statements about atmospheric pressure is INCORRECT?

If a barometer uses water instead of mercury, what would be the approximate height of the water column at standard atmospheric pressure ($1.013 \times 10^5,\text{Pa}$)? (Density of water $ho_w = 1000,\text{kg/m}^3$, $g = 9.8,\text{m/s}^2$)

A mountain climber ascends from sea level to an altitude where the atmospheric pressure is $0.5,\text{atm}$. If the standard atmospheric pressure at sea level is $1.013 \times 10^5,\text{Pa}$, what is the approximate pressure experienced by the climber in Pascals?