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JEE Mains · Physics · STD 11 - 5. work,energy,power and collision

An elastic spring under tension of \(3 \mathrm{~N}\) has a lengtha. Its length is \(b\) under tension \(2 \mathrm{~N}\). For its length\((3 a-2 b)\), the value of tension will be_______. \(\mathrm{N}\).

  1. A \(3\)
  2. B \(8\)
  3. C \(4\)
  4. D \(5\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(5\)

Step-by-step Solution

Detailed explanation

\(3=K(a-\ell)\) \(2=K(b-\ell)\) \(T=K(3 a-2 b-\ell)\) \(T=K(3(a-\ell)-2(b-\ell)\) \(=K\left[3\left(\frac{3}{K}\right)-2\left(\frac{2}{K}\right)\right]\) \(=9-4\) \(=5 \mathrm{~N}\)