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Length of an elastic string is 'a' metre when the tension is 4 newton and 'b' metre when the tension is 5 newton. Length in metre when the tension is 9 newton is:

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4a - 5b

5b - 4a

9b - 9a

a + b

answer is B.

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Detailed Solution

For an additional force of (5 - 4) = I N, the extension is (b -a) When the tension is 9N.
Then additional force = 9 - 4 = 5 N
Then additional extension= 5 (b - a)
length for 9 N = a + 5 (b - a)= 5b - 4a

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