A uniform cylindrical rod of length and radius

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A uniform cylindrical rod of length

L

and radius

r

, is made from a material whose Young's modulus of Elasticity equals

Y

. When this rod is heated by temperature

T

and simultaneously subjected to a net longitudinal compressional force

F

, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to : (1)

9F/(\pi r^2 Y T)

(2)

6F/(\pi r^2 Y T)

(3)

3F/(\pi r^2 Y T)

(4)

F/(3\pi r^2 Y T)