question_answer

A tuning fork produces waves of wave length 60 cm in a medium P. Calculate the wave length of the wave produced by it in a medium Q, given that velocity of waves in the medium P is\[\text{3}00\text{ m}{{\text{s}}^{-\text{1}}}\]and in the medium Q is\[\text{48}0\text{ m}{{\text{s}}^{-\text{1}}}\].

Answer:

\[{{V}_{P}}=n{{\lambda }_{P}}\] \[\Rightarrow \] \[n={{V}_{P}}/{{\lambda }_{P}}\] \[=300/0.60\] \[=500Hz.\] Now,     \[{{V}_{Q}}=n{{\lambda }_{Q}}\] \[\Rightarrow \]               \[{{\lambda }_{Q}}={{V}_{Q}}/n\]                                 \[=480/500\]                                 \[=0.96\text{ }m.\]