JEE Mains · Physics · STD 11 - 13. oscillations
An object of mass \(0.2 \mathrm{~kg}\) executes simple harmonic motion along \(\mathrm{x}\) axis with frequency of \(\left(\frac{25}{\pi}\right) \mathrm{Hz}\). At the position \(\mathrm{x}=0.04 \mathrm{~m}\) the object has kinetic energy \(0.5 \mathrm{~J}\) and potential energy \(0.4 \mathrm{~J}\) The amplitude of oscillation is _______ cm.
- A \(3\)
- B \(5\)
- C \(6\)
- D \(7\)
Answer & Solution
Correct Answer
(C) \(6\)
Step-by-step Solution
Detailed explanation
\(\text { Total energy }=\text { K.E. }+ \text { P.E. }\) \(\text { at } \mathrm{x}=0.04 \mathrm{~m}, \text { T.E. }=0.5+0.4=0.9 \mathrm{~J}\) \(\text { T.E }=1 \mathrm{~m}^2 \mathrm{~A}^2=0.9\)…
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