Two wires of same material and of same length are stretched between two fixed supports. Wire,{ is thicker than wire B. If the initial tensions are same (TA =TB) and temperature increases
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a
both TA and TB decrease equally
b
TA, decreases more than TB
c
TA decreases less than TB
d
both TA and TB remain same as before
answer is B.
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Detailed Solution
We know that Young's modulus of a material is given byY= stress strain =(F/A)(Δl/l)=F.lA⋅Δl F=Y⋅A⋅Δll or T=Y⋅A⋅Δll Given that TA=TB Given that TA= TB A/issmallerinthickerwire(4) Now consider the effect of heating. The decrease in strain is same and hence the decrease in tension in thicker whe is more than thinner wire. Thus TA decreases more than TB.