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JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Physics
Chapter
Work, Power and Energy

JIPMER 2016 · Physics · Work, Power and Energy

Two wires are stretched through same distance. The force constant...

Two wires are stretched through same distance. The force constant of second wire is half as that of the first wire. The ratio of work done to stretch first wire and second wire will be

Options

  1. A2:1
  2. B1:2
  3. C3:1
  4. D1:3

Correct answer

A. 2:1

Step-by-step solution

AsW =12kx2=\frac{1}{2} k x^2 If both wires are stretched through same distance, then W∝kW \propto k. It is given that k2=k12k_2=\frac{k_1}{2} ∴W1W2=k1k2=k1k12=21=2:1\begin{aligned} \therefore \quad \frac{W_1}{W_2} & =\frac{k_1}{k_2} \\ & =\frac{k_1}{\frac{k_1}{2}}=\frac{2}{1}=2: 1\end{aligned}
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