A light rod with uniform cross-section of `10^(-4)m^(2)` is shown in the Fig. The rod consists of three different materials whose lengths are 0.1 m, 0.2 mad 0.15 mand whose Young's modulii are `2.5 xx 10^(10) N//m^(2), 4 xx 10^(10) N//m^(2)` and `1xx 10^(10)N//m^(2)` respectively. Assume that the string connecting the blocks and rod does not elongate. Match the following:

Explanation

A-r , B-q , C -p , D-p
`Deltal = (F)/(A) . (l)/(Y) [ F= mg = 10xx g = 10 xx 10 =100]`
`:. DeltaX_(CD) = (100)/(10^(-4)xx 1xx10^(10)) (0.15) = 15 xx 10^(-6)` m
`DeltaX_(BC) = (100) /(10^(-4)xx 4 xx 10^(10)) (0.2) = 5xx 10^(-6)` m
`Delta X_(AB) = (100)/(10^(-4) xx 2.5 xx 10^(10)) (0.1) = 4xx 10^(-6) ` m
`:.` Displacement of `B = DeltaX_(AB) = 4xx 10^(-6) m`
Displacement of C = `DeltaX_(AB) + Delta X_(BC) = 9xx 10^(-6) `m
Displacement of D `= DeltaX_(AB) + Delta X_(BC) + DeltaX_(CD) = 24 xx 10^(-6)` m
Displacement of load 10 kg = `X_(D) = 24 xx 10^(-6)` m