Question

In a hypothetical system of units, the unit of mass is equal to 10 kg, that of time is 0.25 s
and that of length is 1 km. The numerical value of 1 pascal pressure in this new system
of units will be
O 3
2.5
O 6.25
010
h​

Answer 1

1 Pa pressure in this new system of units will be 6.25 × 10⁻⁶ Pa in SI units.

Explanation:

We know that 1 N = 1 kg×m/s²

If unit of mass is 10 kg, time is 0.25 s and length is 1 km = 1000 m

1 kg unit in new system = 1/10 kg unit in SI

1 m in new system = 1/1000 m in SI

1 s in new system = 1/0.25 s in SI

Then

1 Pascal of pressure in new system

= 1 N/m² of pressure in new system

= $(\frac{1}{10} kg)\times \frac{1/1000 m}{(1/0.25 s)^2}$ in SI system

= $\frac{1}{16}\times 10^{-4}$ Pa in SI system

= $6.25\times 10^{-6}$ Pa

Hope this answer is helpful.

Know More:

Q: In a new set of units, unit of mass is 10 kg, unit of length is 1 km and unit of time is 1 minute. The value of 1 joule in this new hypothetical system is :

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