question_answer

A wave of frequency 500 Hz, travels between X and y, a distance of 600 m in 2 s. How many wavelength are there in distance XY ?

A)  1000                                     

B)  300

C)  180                                       

D)  2000

Correct Answer: A

Solution :

                 Wavelength \[(\lambda )\] is defined as the distance between repeating units of a wave pattern. Also,      velocity \[=\frac{distance\,\,\left( d \right)}{time\,\,(t)}\]                 Given,   d = 600 m,           t = 2 s \[\therefore \]  \[v=\frac{600}{2}=300\,m/s\],    \[f=500\,Hz\] From equation \[v=f\lambda \], we have                 \[\lambda =\frac{v}{f}=\frac{300}{500}=\frac{3}{5}m\] Number of waves in 600 m \[=\frac{600}{3/5}=1000\].