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The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm.calculate this pressure in SI and CGS units using the following data: specific gravity of Mercury=13.6, density of water=1000kg/metre cube ,g=9.8m/second square at calcutta.pressure =h×density×g in usual symbols.?
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The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm. We need to calculate this pressure in SI and CGS units using the given data.

Given:
Height of Mercury column (h) = 75 cm
Specific gravity of Mercury (SG) = 13.6
Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²

Conversion of Units:
We need to convert the height from cm to m, and the pressure from cm of Mercury to Pascal (SI unit) and dyne/cm² (CGS unit).

1 cm = 0.01 m
1 cm of Mercury = 1333.22 Pa (Pascal)
1 cm of Mercury = 1.33322 dyn/cm²

Calculating Pressure in SI Units:
Using the formula: pressure = h × density × g

Substituting the given values:
pressure = (75 cm × 0.01 m/cm) × (13.6 × 1000 kg/m³) × (9.8 m/s²)
pressure = 0.75 m × 13600 kg/m³ × 9.8 m/s²
pressure = 99960 Pa

Therefore, the pressure in SI units is 99960 Pascal.

Calculating Pressure in CGS Units:
Using the formula: pressure = h × density × g

Substituting the given values:
pressure = (75 cm) × (13.6 × 1000 kg/m³) × (9.8 m/s²) × (1.33322 dyn/cm² / 1333.22 Pa)
pressure = 99960 dyn/cm²

Therefore, the pressure in CGS units is 99960 dyn/cm².
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The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm.calculate this pressure in SI and CGS units using the following data: specific gravity of Mercury=13.6, density of water=1000kg/metre cube ,g=9.8m/second square at calcutta.pressure =h×density×g in usual symbols.?
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The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm.calculate this pressure in SI and CGS units using the following data: specific gravity of Mercury=13.6, density of water=1000kg/metre cube ,g=9.8m/second square at calcutta.pressure =h×density×g in usual symbols.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm.calculate this pressure in SI and CGS units using the following data: specific gravity of Mercury=13.6, density of water=1000kg/metre cube ,g=9.8m/second square at calcutta.pressure =h×density×g in usual symbols.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of Mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm.calculate this pressure in SI and CGS units using the following data: specific gravity of Mercury=13.6, density of water=1000kg/metre cube ,g=9.8m/second square at calcutta.pressure =h×density×g in usual symbols.?.
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