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: Option D
Explanation
Let the extension be E and the tension be T.
Then (E propto T)
(E = kT)
when T = 8N, E = 2cm
(2 = k times 8)
(k = frac{2}{8} = 0.25)
(therefore E = 0.25T)
when T = 12N, (E = 0.25 times 12 = 3cm)
There is an explanation video available below.