TS EAMCET · Physics · Mechanical Properties of Solids
If the length of a string is ' \(P\) ' when the tension in it is 6 N and its length is ' \(Q\) ' when the tension in it is 8 N , then the original length of the string is
- A \(3 P+4 Q\)
- B \(3 P-4 Q\)
- C \(4 P+3 Q\)
- D \(4 P-3 Q\)
Answer & Solution
Correct Answer
(D) \(4 P-3 Q\)
Step-by-step Solution
Detailed explanation
Let L be the original length of the wire and k is force constant of wire. Final length \(=\) initial length + elongation \(\mathbb{L}^{\prime}=\mathrm{L}+\frac{\mathrm{F}}{\mathrm{~K}}\) In first condition, \(P=L+\frac{6}{K} \qquad ...\mathrm{(i)}\) In second condition,…
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