Question

A string is stretched along x-axis. Shape of string transferring wave at t = t₁ sec is given by y = e^–2x. If wave velocity is ‘v₀’ in negative x-direction, then equation of waves is –

• A. e^{–2(x – vt)}
• B. $e^{–2x–v(t–t_{0})}$
• C. $e^{–2\{ x–v(t–t_{0})\}}$
• D. $e^{–2\{ x + v(t–t_{0})\}}$

Answer 1

Answer: (D)

$e^{–2\{ x + v(t–t_{0})\}}$

Answer 2

If shape of string at t = t₀ is given by y = f(x), the equation of wave traveling in negative x-direction will be

y(x, t) = f{x + v(t – t₀)}.