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A book with many printing errors contai...

A book with many printing errors contains four different forumlae for the displacement y of a particle undergoing a certain periodic motion : (i) `y = a sin (2pi t)/(T)` (ii) `y = a sin upsilon t` (iii)`y = (a)/(T) sin (t)/(a)` (iv)`y= (a)/(sqrt2)[sin(2pi t)/(T) + cos (2pi t)/(T)]` Here, a is maximum displacement of particle, `upsilon` is speed of particle, T is time period of motion. Rule out the wrong forumlae on dimensinal grounds.

A

`y = A sin (2pi t//T)`

B

`y = A sin (Vt)`

C

`y = A//T sin(t//A)`

D

`y = (A)/(sqrt(2)) (sin omega t + cos omega t)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
By following dimensional analysis
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