There are two wires of same material. Their radii and lengths are both in the ratio 1 : 2. If the extensions produced are equal, what is the ratio of the loads ?
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a
1:2
b
2:1
c
1:4
d
4:1
answer is A.
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Detailed Solution
Y1=Y2 and e1=e2 Y=FlAe⇒F∝Al∝πr 2l∝r 2lF1F2=r12ℓ2r22ℓ1=12221=12