AMU Engineering 2020 solved paper Solved Paper

Let M∝[FaLbTc]
Writing dimensions on both sides and using the principle of homogeneity of dimensions we have,
[M1L0T0]=k[MLT−2]a[L]b[T]c
on comparing the power on both sides we get
a=1,a+b=0
and −2a+c=0
on solving we have
b=−1,c=2,a=1
∴ units of mass is [FL−1T2 ]