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Q.

A brass wire of length 300 cm when subjected to a force F produces an elongation "a" . Another wire of twice the diameter and of same length and material, when subjected to the force F produces an elongation b. Then  the value of 'ab' is

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a

1 : 1

b

4 : 1

c

2 : 1

d

1 : 2

answer is B.

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Detailed Solution

e∝1r2⇒e1e2=r22r12 ab=2rr2=41
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A brass wire of length 300 cm when subjected to a force F produces an elongation "a" . Another wire of twice the diameter and of same length and material, when subjected to the force F produces an elongation b. Then  the value of 'ab' is