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The extension of a stretched string is directly proportional...

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

A.

2

B.

1

C.

0

D.

3

Correct answer is D

Let the extension be E and the tension be T.

Then ET

E=kT

when T = 8N, E = 2cm

2=k×8

k=28=0.25

when T = 12N, E = 0.25 \times 12 = 3cm