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Calculate the pressure at the bottom of beaker when it is filled to a height of 12.5cm take density of water as 1g/cm3 and g=10N/kg

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Answer:

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Explanation:

To calculate the pressure at the bottom of the beaker, we need to consider the pressure due to the height of the water column as well as the atmospheric pressure.

Given:

Density of water, ρ = 1 g/cm³ = 1000 kg/m³

Height of water column, h = 12.5 cm = 0.125 m

Acceleration due to gravity, g = 10 N/kg

The pressure at the bottom of the beaker is the sum of the pressure due to the water column and the atmospheric pressure.

Pressure due to water column:

P_water = ρ * g * h

P_water = 1000 kg/m³ * 10 N/kg * 0.125 m

P_water = 1250 N/m²

Pressure at the bottom of the beaker:

P_total = P_atm + P_water

P_total = 101325 N/m² (standard atmospheric pressure at sea level) + 1250 N/m²

P_total = 102575 N/m²

Therefore, the pressure at the bottom of the beaker when it is filled to a height of 12.5 cm is 102575 N/m².

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