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: 3
Explanation
Let the extension be E and the tension be T.
Then E∝T
E=kT
when T = 8N, E = 2cm
2=k × 8
k = 2/8 = 0.25
∴ E = 0.25T
when T = 12N, E = 0.25 × 12 =3 cm
Let the extension be E and the tension be T.
Then E∝T
E=kT
when T = 8N, E = 2cm
2=k × 8
k = 2/8 = 0.25
∴ E = 0.25T
when T = 12N, E = 0.25 × 12 =3 cm