An elastic spring under tension of 3 N has a length a. Its length is b under tension 2 N. For its length (3a - 2b), the value of tension will be _______ N. Numerical answer type. Work it out, then open the answer.

Answer: 5. a = L + 3c and b = L + 2c, so c = a - b and L = 3b - 2a For length 3a - 2b: Tc = (3a - 2b) - L = (3a - 2b) - (3b - 2a) = 5(a - b) T = (5(a - b))/(a - b) = 5 N

An elastic spring under tension of 3 N has a length a. Its length is… | JEE Main 2024 (4 Apr, Shift 1)

Q6JEE Main 2024 · 4 APR · SHIFT 1Medium

Wire Combinations & Special Cases

An elastic spring under tension of $3\text{ N}$ has a length $a$ . Its length is $b$ under tension $2\text{ N}$ . For its length $(3a - 2b)$ , the value of tension will be _______ N.

Numerical answer type. Work it out, then open the answer.

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Answer: 5

$a = L + 3c$ and $b = L + 2c$ , so $c = a - b$ and $L = 3b - 2a$
For length $3a - 2b$ : $Tc = (3a - 2b) - L = (3a - 2b) - (3b - 2a) = 5(a - b)$
$T = \frac{5(a - b)}{a - b} = 5\text{ N}$

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