On the basis of dimensions, decide which of the following relations
for the displacement of a particle undergoing simple harmonic
motion is not correct:
(a) y = a sin 2 / πt T
(b) y = a sin vt.
(c) y = sin a t
T a
(d) y =
2 2 2 sin cos t t
a
T T
π π −
Answers
Answered by
0
Answer:
I didn't get a answer plz
Answered by
0
Answer:
(a) and (d) the dimensions of y and a in L.H.S. and R.H.S. are equal to L and while in option (b) angle is v.t (where v is velocity)
∴ dimension of v.t is [LT
−1
][T]=[L].
So sinvt is not dimensionless so option (b) is wrong. In option (c) in R.H.S. dimension of amplitude
T
a
=
[T]
[L]
=[LT
−1
] which not equal to the dimension of y i.e L and angle
a
t
=
[L]
[T]
=[LT
−1
] is not dimensionless.
Hence, verifies the option (b) and (c)
I'm trying my best ....
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