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Sagot :
The force exerted per unit of area by a column of mercury is 1.01×10⁵ Pa and height of column that will exert same force is 10.3 m.
We will be using the formula mentioned below for both the calculations.
P = rho×g×h, where P is pressure, rho is density, g is acceleration due to gravity and h is height.
Firstly converting the units to m and kg.
Height = 76 cm
100 cm = 1 m
So, height = 0.76 m
Density = 13.59×(10²)³/10³
Density = 13590 kg/m³
Keep the value in formula for calculation pressure, which is force per unit area
Pressure = 13590×9.81×0.76
Performing multiplication
Pressure = 1.01×10⁵ Pa
Now finding height of column in case same force and liqui being water
Calculating density = 1×(10²)³/10³
Density = 1×10³ kg/m³
h = P/rho×g
h = 1.01×10⁵/(9.81×10³)
Performing division
height = 10.3 m
Hence, pressure is 1.01×10⁵ Pa and height is 10.3 m.
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