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Question
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 is/are:
i. y=Asin(Vt)
ii. y=ATsin(tA)
iii. y=A√2(sin(wt)+cos(wt))
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 is/are:
i. y=Asin(Vt)
ii. y=ATsin(tA)
iii. y=A√2(sin(wt)+cos(wt))
i. y=Asin(Vt)
ii. y=ATsin(tA)
iii. y=A√2(sin(wt)+cos(wt))
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Solution
The correct option is A i and ii only
Given physical expression is dimensionally correct only when RHS and LHS has same dimensions.
Also in trigonometry expression the term inside a trigonometry function should be dimensionless.
Therefore expression 1 is wrong because Vt has dimension of length.Similarly expression 2.
So the answer is B.
Given physical expression is dimensionally correct only when RHS and LHS has same dimensions.
Also in trigonometry expression the term inside a trigonometry function should be dimensionless.
Therefore expression 1 is wrong because Vt has dimension of length.
Similarly expression 2.
So the answer is B.
So the answer is B.
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