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A book with printing error contains four...

A book with printing error contains four different formulae for displacement. Choose the correct formula/formulae
(a) y = a sin 2 πt /T (b) y = a sin vt (c) y = a/ T sin ( t/ a ) (d) y = a/ T ( sin ( 2 π )t/ T + cos ( 2 π )t/ T )

Text Solution

Verified by Experts

The argument of sine and cosine function must be dimensionless so (a) is the probable correct formula. Since
`y=(a)/(t)(sin.(2pi)/(T)t+cos.(2pit)/(T)):` Though `(2pit)/(T)` dimensionless `(a)/(T)` does not have dimensions of displacement so this is also incorrect.
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CBSE COMPLEMENTARY MATERIAL-DIMENSIONS AND MEASUREMENT -SHORT ANSWER QUESTIONS
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