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Q.

Two wires of diameter 0.25 cm, one made of steel and other made of brass are loaded as shown in figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m. Young's modulus of steel is 2.0 x 1011 Pa and that of brass is 1.0 x 1011 Pa. The ratio of elongations of steel and brass wires. (∆lsteel∆lbrass = ?)

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a

1.25

b

l.5

c

2.0

d

0.5

answer is A.

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Detailed Solution

∆lbrass = 6g ×1.0A×1×1011∆lsteel = 10g × 1.5A×2×1011∆lsteel∆lbrass = 10g×1.5A×2×1011 ×A×1×10116g×1.0 = 1512 = 54 = 1.25

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Two wires of diameter 0.25 cm, one made of steel and other made of brass are loaded as shown in figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m. Young's modulus of steel is 2.0 x 1011 Pa and that of brass is 1.0 x 1011 Pa. The ratio of elongations of steel and brass wires. (∆lsteel∆lbrass = ?)