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Which of the following quantities has the same S.I. unit as that of pressure?(a) Work(b) Energy / Velocity(c) Energy / Displacement(d) mass X (velocity)^2/VolumeI got this question at a job interview.Question is taken from Fluids Mechanical Properties Pressure topic in portion Mechanical Properties of Fluids of Physics – Class 11

Answer»

The correct choice is (d) mass X (velocity)^2/VOLUME

Best explanation: The S.I. unit of pressure is N/m^2.

Work has the unit of NM. Energy/Velocity has the unit of Nm/(m/s)= Ns.

The unit of energy/disp is Nm/m = N.

The unit of mass X (velocity) ^2/Volume is same as that of energy per unit volume becausemass X (velocity)^2 is EQUAL to energy,

which is in TURN equal to Nm/m^3 = N/m^2,therefore this is the correct option.



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