Question

the height of mercury barometer is 75cm at the sea level and 50cm at the top of a hill . Ratio of density of mercury to that of air is 10000. the height of the hill is

Answer 1

According to question

it is given that

Height of barometer at sea level = h1 = 75 Cm
and
Height of barometer at hill = h2 = 50 Cm

Also
Ratio of density of mercury to that of air = 10000
We know

Height of the hill = ratio of density of mercury to that of air / (h1 - h2 )
                              = 10000/ 75-50
                            = 10000 / 25
                          = 400 Cm

Thus Height  of hill is 400 Cm