MHT CET20249 May 2024Evening ShiftPhysicsOscillationsActual
A musical instrument ' P ' produces sound waves of frequency ' n ' and amplitude ' A '. Another musical instrument ' Q ' produces sound waves of frequency n 4 . The waves produced by ' P ' and ' Q ' have equal energies. If the amplitude of waves produced by ' P ' is ' A _ P ', the amplitude of waves produced by ' Q ' will be
Options
- A2 ~A _ P
- B4 ~A _ P
- C6 ~A _ p
- D9 ~A _ P
Correct answer
B. 4 ~A _ P
Step-by-step solution
Energy of oscillations is given by E= 1 2 m ^2 A^2= 1 2 m(2 n)^2 A^2 E n ^2 ~A ^2 As the energies are equal, array ll & n ₁^2 ~A ₁^2= n ₂^2 ~A ₂^2 n ₁ ~A ₁= n ₂ ~A ₂ & ~A ₂ ~A ₁ = n ₁ n ₂ = n n / 4 =4 & ~A ₂=4 ~A ₁ & . ~A =4 ~A _ p ... (given, A ₁=A, ~A ₂= A _ p ) array