A rubber rope of length 8 m is hung from the ceiling of a room. What is the increases in length of the rope due to its own weight? (Given, Young's modulus of elasticity of rubber `= 5 xx 10^(6) Nm^(-2)` and density of rubber `= 1.5 xx 10^(3) kg m^(-3)` and `g = 10 ms^(-2)`)

Explanation

`Deltal=(rho gl^(2))/(2Y)=(1.5xx10^(3)xx10xx8xx8)/(2xx5xx10^(6))`
`=9.6xx10^(-2)m=9.6xx10^(-2)xx10^(3)mm=96mm`
`Deltal=(rho g l^(2))/(2Y)=(1.5xx10^(3)xx10xx8xx8)/(2xx5xx10^(6))`