Question

The amplitude and the time period in SHM are 0.8 cm and 0.2 s respectively. If the initial phase is $\frac{\pi}{2}$ radian, then the equation representing SHM is-

• A. y = 0.8 cos 10πt
• B. y = 0.8 sin πt
• C. y = 3 × 0.8 sin πt
• D. y = 0.8 sin 10πt

Answer 1

Answer: (A)

y = 0.8 cos 10πt

Answer 2

y = a sin (ωt + φ₀)

= 0.8 sin $\left\lbrack \frac{2\pi}{0.2}t + \frac{\pi}{2} \right\rbrack$

= 0.8 cos 10 πt