A book with many printing errors contains four different formulae for the displacement of…
Physics · NEET · NTA Exams — Physics and Measurement
A book with many printing errors contains four different formulae for the displacement of a particle undergoing a certain periodic motion x. Which one is the WRONG formula on dimensional grounds (A = amplitude, ω = angular velocity, T = time period of motion)?
- \(x=A \sqrt{2}\left(\sin \left[\frac{2 \pi t}{T}\right]+\cos \left[\frac{2 \pi t}{T}\right]\right)\)
- \(x=\frac{A}{T} \sin \left(\frac{t}{A}\right)\)
- \(x=A \sin \left(\frac{2 \pi t}{T}\right)\)
- \(\mathbf{x}=A \sin (\omega t)\)
Answer
(B) x= A T ( t A )
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