Basic Maths and Units and DimensionsHard
Question
There are two wire of same naterial and same lengthwhile the diameter of second wire istwo time the diameter of first wire, then the ratio of extension produced in the wires by appying same load will be:
Options
A.1 : 1
B.2 : 1
C.1 : 2
D.4 : 1
Solution
∵ Both ire are same materials so both will have same Young′s modulus, and let it be Y.
Y =
F = applied force
A = area of cross - section of wire
Now,
Y1 = Y2 ⇒
Since load and length are same for both
⇒ r12ᐃL1 = r22ᐃL2
= 4ᐃL1 : ᐃL2 = 4 : 1
Y =
F = applied force
A = area of cross - section of wire
Now,
Y1 = Y2 ⇒
Since load and length are same for both
⇒ r12ᐃL1 = r22ᐃL2
= 4ᐃL1 : ᐃL2 = 4 : 1Create a free account to view solution
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