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A book with many printing errors contain...

A book with many printing errors contains four different expressions for the displacement 'y' of a particle executing simple harmonic motion. The wrong formula on dimensional basis
(i) `y=A sin (2pi t//T)`
(ii) `y=A sin (Vt)`
(iii) `y=A//T sin (t//A)`
(iv) `y=(A)/(sqrt(2))(sin omega t+cos omega t)`

A

ii only

B

ii and iii only

C

iii only

D

iii and iv only

Text Solution

Verified by Experts

The correct Answer is:
C
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A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain peroidic motion : (a) y = asin2pi t//T (b) y=asinvt ("c") y=(a//T) sin t//a (d) y=(a//sqrt2) (sin 2pi t//T + cos 2pit//T) (a = maximum displacement of the particle, v=speed of the particle. T=time-period of motion). Rule out the wrong formulas on dimensional grounds)