# 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

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.

#### 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"

Concept: Behaviour of Metal Wire Under Increasing Load
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