1.

Consider the following equation of Bernoulli theorem P+(1)/(2)rho v^(2)+ rhogh= K (constant) Which of the following quantity has same dimensions as that of (K)/(P)?

Answer»

Thrust
Pressure
Angle
Viscosity

Solution :`P+ (1)/(2)rhov^(2)+rhogh= K`
K has the same dimensions as each one of the FACTORS on the LHS i.e `P, (1)/(2)rhov^(2)` and `rhogh`
`:. [(K)/(P)]= [M^(0)L^(0)T^(0)]`
Angle has no dimensions , i.e `[THETA]= [M^(0)L^(0)T^(0)]`
Hence, `[(K)/(P)]= [theta]`


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