A researcher hypothesizes that the magnitude of the torque applied to a wheel can be…

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A researcher hypothesizes that the magnitude of the torque

\tau

applied to a wheel can be modeled by

\tau = A\,m^{p}\,g^{q}\,r^{s}

, where

A

is a dimensionless constant,

m

is the wheel’s mass,

g

is the magnitude of the gravitational acceleration, and

r

is the wheel’s radius. Which set of exponents

\{p,\,q,\,s\}

makes the model dimensionally consistent with the SI base units of torque? (a)

\{1,\,2,\,0\}

(b)

\{0,\,1,\,2\}

(c)

\{1,\,1,\,1\}

(d)

\{1,\,1,\,0\}