A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and reflected) is

Question

A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and reflected) is (A) 20 m/s (B) 40 m/s (C) 5 m/s (D) 10 m/s

Tardigrade Admin · Accepted Answer

Frequency (v)=100 Hz and distance from fixed end =10 cm =0.1 m. When a stationary wave is produced, the fixed end behaves as a node. Thus wavelength (λ)=2 × 0.1=0.2 m. Therefore velocity v=v λ=100 × 0,2=20 m / s.

Q. A wave of frequency $100 Hz$ travels along a string towards its fixed end. When this wave travels back, after reflection, a node is formed at a distance of $10 c m$ from the fixed end. The speed of the wave (incident and reflected) is

20 m/s

40 m/s

5 m/s

10 m/s

Frequency $(v) = 100 Hz$ and distance from fixed end $= 10 c m = 0.1 m$ .
When a stationary wave is produced, the fixed end behaves as a node.
Thus wavelength $(λ) = 2 \times 0.1 = 0.2 m$ .
Therefore velocity $v = v λ = 100 \times 0, 2 = 20 m / s$ .

Q. A wave of frequency 100Hz travels along a string towards its fixed end. When this wave travels back, after reflection, a node is formed at a distance of 10cm from the fixed end. The speed of the wave (incident and reflected) is