A 5m aluminium wire (Y = 7 × 10 10 N/m 2 ) of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire (Y= 12 × 10 10 N/m 2 ) of the same length under the same weight, the diameter should be in mm
Text Solution
Verified by ExpertsThe correct answer is:
C
When strain is small, the ratio of the longitudinal stress to the corresponding longitudinal
strain is called Young's molulus (Y) of the material of the body.
Y = 
Given , Y 1 = 7 × 10 10 N/m 2
Y 2 = 12 × 10 10 N/m 2
r 1 = 
r 2 = 
∴ 
⇒ 
D 2 = 
≈ 2.3 mm
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