For coefficient of dynamic viscosity η, write [η] = MˣLʸTᶻ. Find x²+y²+z².
Physics · Mixed Chapter
JEE Main Practice

Question

For coefficient of dynamic viscosity η, write [η] = MˣLʸTᶻ. Find x²+y²+z².

G1 Physics · Accepted Answer

Step 1: Newton's viscosity law F = ηA(dv/dy). Step 2: Thus [η] = [F]/([A][dv/dy]) = (MLT⁻²)/(L²T⁻¹) = ML⁻¹T⁻¹. Step 3: x=1, y=−1, z=−1. Then x²+y²+z²=1+1+1=3.