The displacement equations of two interfering waves are given by y₁=10 sin (ω t+(π)/3) cm, y₂=5[ sin ω t+√(3) cos ω t] cm respectively. The amplitude of the resultant wave is _ _ _ c m.

Oscillations and Waves: JEE Main 2023 Physics question

JEE Main 2023 · 31 Jan, Evening shift · Q82

JEE Main 202331 Jan, Evening shiftPhysicsMediumOscillations and Waves185× since 2002

The displacement equations of two interfering waves are given by

y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}, y_{2}=5[\sin \omega t+\sqrt{3} \cos \omega t] \mathrm{cm}

respectively. The amplitude of the resultant wave is _______

\mathrm{cm}

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Oscillations and Waves Question with Answer (31 Jan Evening shift, Q82) | JEE Arc

JEE Main 2023 · 31 Jan, Evening shift · Q82

JEE Main 202331 Jan, Evening shiftPhysicsMediumOscillations and Waves185× since 2002

The displacement equations of two interfering waves are given by

y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}, y_{2}=5[\sin \omega t+\sqrt{3} \cos \omega t] \mathrm{cm}

respectively. The amplitude of the resultant wave is _______

\mathrm{cm}

Your answerType your answer. Integers and decimals are accepted.