A harmonic oscillator at x = 0 oscillates as y = a sinωt and generates a wave on a light string of speed v₁. At x = ℓ the string joins a heavier string on which the wave speed is v₂. Use the shown geometry.

Options

• Option A

  y = a sinω (t - x/v₁ )

• Option B

  y = a sinω (t + x/v₁ )

• Option C

  y = a sin [ω (t - x/v₁ ) + π]

• Option D

  y = a sin[ω (t + x/v₁ ) + π]

Options

• Option A

  y = at sinω (t - x/v₂ )

• Option B

  y = at sinω (t - ℓ/v₁ )

• Option C

  y = at sin ω [t - ℓ/v₁ - (x-ℓ)/v₂ ]

• Option D

  y = at sin ω (t - x/v₂ )

Options

• Option A

  y = aR sin ω (t - x/v₂ )

• Option B

  y = aR sin [ω {t - ℓ/v₁ - (ℓ-x)/v₁ }+ π]

• Option C

  y = aR sin[ω (t + x/v₁ ) + π]

• Option D

  y = aR sin{ω [t + (2ℓ+x)/v₁ ] + π}