A sine wave is travelling in a medium. The minimum distance between the two particles, always having the same speed, is:

A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. The particle closest to it having zero displacement is at a distance:

Which of the following equations represents a wave travelling along the \(y\text-\)axis?
1. \(x=A \sin(ky-\omega t)\)
2. \(y=A \sin(kx-\omega t)\)
3. \(y=A \sin (ky)\cos \omega t\)
4. \(y=A \cos (ky) \sin \omega t\)

The equation; \(y = A \sin^2 (kx-\omega t)\) represents a wave motion with:

A cork floating in a calm pond executes simple harmonic motion of frequency \(\nu\) when a wave generated by a boat passes by it. The frequency of the wave is:
1. \(\nu\)
2. \(\nu/2\)
3. \(2\nu\)
4. \(\sqrt2\)\(\nu\)

Two waves are represented by; \(y=a\text{sin}(\omega t-kx)\) and \(y=a\text{cos}(\omega t-kx)\) are superposed. The resultant wave will have an amplitude:
1. \(a\)
2. \(\sqrt{2} a\)
3. \(2a\)
4. \(0\)

Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modulus of the wires are Y_A and Y_B whereas the densities are ρ_A>ρ_B. A transverse signal started at one end takes a time t₁ to reach the other end for A and t₂ for B.

1. t₁ < t₂

2. t₁ = t₂

3. t₁ > t₂

4. the information is insufficient to find the relation between t₁ and t₂

Two sine waves travel in the same direction in a medium. The amplitude of each wave is \(A\) and the phase difference between the two waves is \(120^\circ.\) The resultant amplitude will be:
1. \(A\)
2. \(2A\)
3. \(4A\)
4. \(\sqrt2 A\)

A mechanical wave propagates in a medium along the \(\mathrm{X}\)-axis. The particles of the medium:

Choose the correct option from the given ones:

A transverse wave travels along the Z-axis. The particles of the medium must move: