For aluminium, the bulk modulus and modulus of rigidity are 7.5xx10^(10)N//m^(2) and 2.01xx10^(10)N//m^(2) respectively. Find the velcoity of longitudinal and transverse wave in the medium. Given desity of aluminium is 2.7xx10^(3)kg//m^(3).

For aluminium, the bulk modulus and modulus of rigidity are 7.5xx10^(1

1.	For aluminium, the bulk modulus and modulus of rigidity are 7.5xx10^(10)N//m^(2) and 2.01xx10^(10)N//m^(2) respectively. Find the velcoity of longitudinal and transverse wave in the medium. Given desity of aluminium is 2.7xx10^(3)kg//m^(3).
Answer» Solution :Here, `K=7.5xx10^(10)N//m^(2)`, `eta=2.1xx10^(10)N//m^(2),` `rho=2.7xx10^(3)kg//m^(3).` velocity of longitudinal WAVES in SOLIDS `v=sqrt((K+(4)/(3)eta)/(rho))` `=sqrt((7.5xx10^(10)+(4)/(3)xx2.1xx10^(10))/(2.7xx10^(3)))` `=sqrt((10.3xx10^(10))/(2.7xx10^(3)))=6.18xx10^(3)m//s` And, velocity of transverse waves in solids `v=sqrt((eta)/(rho))=sqrt((2.1xx10^(10))/(2.7xx10^(3)))=2.7xx10^(3)m//s`