Correct Answer - Option 4 : 0.09 m
Concept:
Reynolds number \(Re = \frac{{\rho VL}}{\mu }\)
Where, ρ is density of fluid, V is fluid velocity, L is length of the plate and
µ is dynamics viscosity = \(ν\) × ρ (ν is kinematic viscosity)
Calculation:
Given, Re = 3 × 104, \(\nu\) = 72 × 10-6 m2/s, V = 24 m/s
\(Re = \frac{{ VL}}{\nu }\)
⇒ \(3 \times {10^4} = \frac{{24 \times L}}{{72 \times {{10}^{ - 6}}}}\)
L = 0.09 m