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Questions  

The length of a metal wire is x when the tension in it is 'F' and '2x ' when the tension is '3F'. Then the natural length of the wire is

a
2x
b
x3
c
x2
d
x

detailed solution

Correct option is C

ℓ1−ℓ∝T1---(1)ℓ2−ℓ∝T2----(2)divide (1)÷(2) we gerℓ=T2ℓ1−T1ℓ2T2−T1 =3F×x−F×2x3F−F            =3x−2x2=x2

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