VITEEE 2009 Paper

Here, y = a sin (bt-cx)
Comparing this equation with general wave equation
y=a‌sin(

2πt

T

−

2πx

λ

)
we get b=

2π

T

,c=

2π

λ

(a) Dimensions of

y

a

=

[L]

[L]

=Dimensionless
(b) Dimensions of bt=

2π

T

.t=

[T]

[T]

= Dimensionless
(c) Dimensions of cx=

2π

λ

.x=

[L]

[L]

=Dimensionless
(d) Dimensions of

b

c

=

2π T 2π

λ

=

λ

T

=[LT−1]