Q80 / 84 · JEE Advanced 2010 (Paper 1) · Physics

When two progressive waves $y_1=4 \sin (2 x-6 t) \quad$ and $y_2=3 \sin \left(2 x-6 t-\frac{\pi}{2}\right) \quad$ are superimposed, the amplitude of the resultant wave is

Correct answer: 5

Solution

Phase difference between the two waves is $90^{\circ}$. Amplitudes are added by vector method. $\therefore$ Answer is 5 .

Hence, the correct answer is 5.

More Oscillations Questions

A point mass is subjected to two simultaneous sinusoidal displacements in -direction, and . Adding a third sinusoidal displacement bring the2011 (Paper 2)Superposition of S.H.M's and Resonance
Function represents SHM.2006Superposition of S.H.M's and Resonance
A tank contains two immiscible liquids of densities and . The higher density liquid is filled up to a height from the bottom. A thin rod of 2026 (Paper 1)Angular oscillations
The center of a disk of radius and mass is attached to a spring of spring constant , inside a ring of radius as shown in the figure. The oth2025 (Paper 1)Simple Harmonic Motion
As shown in the figures, a uniform rod of length is hinged at the point and held in place vertically between two walls using two massless sp2025 (Paper 2)Applications of SHM
A block of mass moves along the -direction subject to the force , with the value of in metre. At time , it is at rest at position . The posi2024 (Paper 1)Simple Harmonic Motion