Sound waves I and II are propagating with speeds 2v and 5v respectively The wavelength of sound wave I - Science - Sound

Question

Sound waves I and II are propagating with speeds 2v and 5v
respectively The wavelength of sound wave I is 10 times smaller
than that of sound wave II

What is the ratio of the time period for sound wave II to that of
sound wave I?

Zafar · Accepted Answer

Velocities of waves
V1 = 2V and V2 =5V             and    λ1 =10 λ2  [ given ]using the relation →   λ =Vf            ⇒λ = V
T    (1f = T )   ⇒λ1 =V1T1  ⇒λ1 = 2V × T1 
(1)Similarly   λ2  = 5V × T2  
(2)
Dividing equation (1) by (2)      λ1λ2 = 2V × T15V × T2   ⇒ 10 λ2λ2 = 25 (T1T2 )       T1T2  = 5 × 102  ⇒  T1T2  =251

Sound waves I and II are propagating with speeds 2v and 5v respectively. The wavelength of sound wave I is 10 times smaller than that of sound wave II. What is the ratio of the time period for sound wave II to that of sound wave I?

Sound waves I and II are propagating with speeds 2v and 5v respectively. The wavelength of sound wave I is 10 times smaller than that of sound wave II.

What is the ratio of the time period for sound wave II to that of sound wave I?