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The wires A and B shown in the figur, ar...

The wires `A` and `B` shown in the figur, are made of the same material and have radii `r_(A)` and `r_(B)`. A block is mass `m kg` is find between them : If the force `F` is `mg//3`, one of the wires breaks.

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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Knowledge Check

  • 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)=r_(B)`
    B
    `A` will break before `B` if `r_(A)lt2r_(B)`
    C
    either `A` or `B` may break if `r_(A)=2r_(B)`
    D
    the lengths of `A` and `B` must be known to predict which wire will break.

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    equal to that of A
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