`ML^(-1)T^(-2)` represents

Options

A. torque
B. work
C. energy
D. coefficient of viscosity

Answer

D

Explanation

Torque is defined as `vectau= vec r xx vec F`
`:. [tau]= [r][F]= [L][MLT^(-2)]= [ML^(2)T^(-2)]`
Similarly for work and energy the dimensions are same as that of torque i.e. `[ML^(2)T^(-2)]`
Now for viscosity , `F= 6pietarv`
or `eta= (F)/(6pirv) :. [eta]= ([F])/([r][v])= ([MLT^(-2)])/([L][LT^(-1)])= [ML^(-1)T^(-1)]`
Hence the given dimension are related to coefficient of viscosity.