Question

13.) The
wave
equation is represented by
y = a sin(At - Bx +C), where A, B and Care
constant. Dimensions of A, B and C will be
(a) (T), [L], [M°L°T°)
(b)(T), [L], [M]
(c) IT'). [L-'], [M?)
(d) [T-'], [L-'], [M°L°T°)​

Answer 1

Answer:

F=A cos Bx+C sin Dt

It is a common saying in mathematics that the elements inside cos and sin function is always constant.

So here in the above equation

B x. & Dt must be dimensionless

Since x=[L] &t=[T]

So B=[L]^-1 & D=[T]^-1

So,D/B=[LT^-1]

Thanks