phy

(Q1)A wire of cross- sectional area of 0.00006m2 and length 50cm stretches by 0.2mm under a load of 3000n.Calculate the Young's modulus for the wire (a)80000000000Nm-2(b)125000000000Nm-2(c)25000000000Nm-2(d)5000000000Nm-2 (Q2)a square plate of side 10cm is made of a metal of linear expansivity0.00002/k.As the plate is heated from 30c to 100c.The area of one face of the plate will increase to (a)1056cm2(b)104.2cm2(c)102.8cm2(d)101.4cm2

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  1. Q1
    σ=Eε
    F/A = E ΔL/L
    E= F•L/A• ΔL= 3000•0.5/0.00006•0.2•10⁻³ = 125000000000 N/m²

    Q2
    α= ΔL/L•ΔT
    ΔL= α•L•ΔT=
    =0.00002 •0.1•70 =0.00014 m
    L₁=0.1+0.00014=0.10014 m
    S₁=(0.10014)²=0.010028 m²=100.28 cm²

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