A and B Are Two Steel Wires and the Radius of a is Twice that of B. If They Are Stretched by the Same Load, Then the Stress on B is - Physics

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MCQ

A and B are two steel wires and the radius of A is twice that of B. If they are stretched by the same load, then the stress on B is .....

Options

  • four times that of A.

  • two times that of A.

  • three times that of A.

  • same as that of A.

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Solution

four times that of A.

(rA=2rB) ............(1)

`therefore stress=F/A`

`stress prop1/r^2`

`therefore (stress_A)/(stress_b)=r_B^2/r_A^2`

`"Stress of B"=r_A^2/r_B^2 xx " stress of "A`

`"Stress of B"=(2r_B)^2/r_B^2 xx " stress of "A`  .............. from equation 1

`"Stress of B"=(4r_B^2)/r_B^2 xx " stress of "A`

`"Stress on B"=4* "Stress on A"`

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2015-2016 (March)

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