AP EAMCET201923 Apr 2019Morning ShiftPhysicsMechanical Properties of SolidsActual
A uniform wire of length (10 ~m ) and diameter (0.6 ~mm ) is stretched by (6 ~mm ) with certain force. If the Poisson's ratio of the material of the wire is 0.3 , then the change in diameter of the wire is
Options
- A(108 10⁻⁸ ~m )
- B(108 10⁻⁶ ~m )
- C(10.8 10⁻⁸ ~m )
- D(1.08 10⁻⁸ ~m )
Correct answer
C. (10.8 10⁻⁸ ~m )
Step-by-step solution
Given, length of the wire, (L=10 ~m ), diameter, (D=0.6 10⁻³ ~m ), poisson's ratio, ( =0.3 ) and change in wire length, ( L=6 10⁻³ ~m ) As poisson's ratio, ( = lateral strain longitudinal strain ) ( = D D L L ) ( array rlrl & = D L D L & D = D L L & = 0.3 0.6 10⁻³ 6 10⁻³ 10 D & =10.8 10⁻⁸ ~m array ) Hence, the change in diameter of wire is (10.8 10⁻⁸ ~m ). So, the correct option is (c).