Question

explain the graph developes using readings from searls apparTus

Answer 1

Consider a wire of length L and diameter d. Let length L increases by an amount l when wire is pulled by a longitudinal force F. The Young's modulus of the material of a wire is given by,Y=StressStrain=F/Al/L=4FLπd2l.

In Searle's method, the parameters L is measured by a scale, d is measured by a screw gauge, l is measured by a Micrometer or Vernier scale, and F is specified weight. Differentiate the expression for Y to get the error in measured Y,ΔYY=ΔLL+2Δdd+Δll,