Q.1 A wire can be broken by suspending a minimum load of 30 kg. The minimum mass required to break the wire of twice the diameter is
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60 kg is the answer
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The minimum mass required to break the wire of twice the diameter is 120kg.
For, a wire radius 'r', the minimum breaking load is 30kgf (F). The breaking stress is represented as F/r².
The breaking stress is the same for the same material. So, it is equal to the wire with double the radius (2r) and with minimum breaking load with F'.
So, F/r² = F'/(2r)²
⇒ F/r² = F'/4r²
Replacing the value of F as 30.
⇒ F' = 30×4 = 120kgf
So, the minimum mass required is 120kg
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