STANDARDPhysics-Properties of Solids and Liquids
STANDARD Physics Elasticity MCQ Question
Type: MCQ-numerical-Hard
The length of a rubber cord is l₁ m when the tension is 4 N and l₂ m when the tension is 6 N. The length when the tension is 9 N, is
A
(2.5 l₂ – 1.5 l₁) m
B
(6 l₂ – 1.5 l₁) m
C
(3 l₁ – 2 l₂) m
D
(3.5 l₂ – 2.5 l₁) m
Correct Answer
Option A
Detailed Explanation
Using the relation Y = T/A(l₀ - l), we derive two equations for the given tensions and solve them to find the length at 9 N tension, resulting in l₃ = (2.5 l₂ – 1.5 l₁) m.
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