Questions
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are p, q and s respectively, then the corresponding ratio of increase in their lengths would be
detailed solution
Correct option is B
As Y=FLAΔL=4FLπD2ΔL ΔL=4FLπD2Y ∴ ΔLSΔLC=FSFCLSLCDC2DS2YCYS where subscripts S and C refer to copper and steel respectively. Here, FS=(5m+2m)g=7mg FC=5mg LSLC=q,DSDC=p,YSYC=s ∴ ΔLSΔLC=7mg5mg(q)1p21s=7q5p2sTalk to our academic expert!
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A wire elongates by / mm when a load Wis hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm):
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