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The wires A and B shown in Fig. are made...

The wires `A` and `B` shown in Fig. are made of the same material and have radii `r_(A)` and `r_(B)`, respectively. The block between them has a mass `m`. When the force `F` is `mg//3`, one of the wires breaks. Then

A

A will break before `B` if `r_(A) lt 2r_(B)`

B

A will before `B` if `r_(A) = r_(B)`

C

Either `A` or `B` will break if `r_(A) = r_(B)`

D

The lengths of `A` and `B` must be known to decide which wire will break

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Stress in wire `B = (mg)/(3pir_(B)^(2))`
Stress in wire `B = (4mg)/(3pir_(A)^(2))`
if `(mg)/(3pir_(B)^(2)) = (4mg)/(3pir_(A)^(2))` either wire will break.
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