In a new system, unit of length is 6 m, unit of mass
is 2 kg, unit of time is 2 minute. In the new system
of units, unit of pressure is equal to
(1) 12 kgm mirr2 (2) 24 kgmrmin-2
(3) za kgm ' min?
(4) ia kgm "min
Answers
The unit of pressure is equal to 1/12 kgm⁻¹min⁻². hence, the correct option is (1)
In a new system, unit of length is 6m, unit of mass is 2kg, unit of time is 2 min. In the new system of units, unit of pressure is equal to ..
- 1/12 kgm⁻¹min⁻²
- 24 kgm⁻¹min⁻²
- 1/24 kgm⁻¹min⁻²
- 12 kgm⁻¹min⁻²
We know, pressure the force acting in a specific surface area.
i.e., pressure = force/area
∴ unit of pressure = unit of force/unit of area
= (unit of mass × unit of acceleration)/(unit of length²)
= (2kg × unit of length/unit of time²)/(6m)²
= (2kg × 6m/(2min)²)/36m²
= 12/144 kgm⁻¹min⁻²
= 1/12 kgm⁻¹min⁻²
Therefore the unit of pressure is equal to 1/12 kgm⁻¹min⁻².
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