Question

In the equation a+F=bP, F is force and P is momentum. Identify the physical quantities a and b.​

Answer 1

Answer:

⇒  Since F=at+bt2−−−(1)

∴ Dimension of at and bt2 must be equal to force only.

Hence [F]=[M1L1T−2]−−−(2)

F from (1) and (2)

⇒ [at]=a[T]=[F]

∴ a[T]=[M1L1T−2]

∴ [a]=[M1L1T−3]

and per bt2=b[T2]=[M1L1T−2]

∴ [b]=[M1L1T−4]