Mechanical Properties of Solids · Question 11

AIPMT 2014MCQEasy📈 Topic in 12% papers+4−1

Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is l. Which of the following graphs is a straight line ?

l versus 1l
l versus l2
l versus 1l2
l versus l

Answer

(2) l versus l2

Solution

Y = F/A l/l l = FlAY

Volume fixed: V = Al A = Vl

l = Fl2VY

l l2, so l versus l2 is a straight line.

Answer: (2)

AIPMT 2014

Keep practising — Mechanical Properties of Solids

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

length = 200 cm, diameter = 2 mm
length = 300 cm, diameter = 3 mm
length = 50 cm, diameter = 0.5 mm
length = 100 cm, diameter = 1 mm

NEET 2013

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 [figure]

( 5q7sp2 )
( 7q5sp2 )
( 2q5sp )
( 7q5sp )

NEET 2013 (Karnataka)

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