passpadi

2015

Mathematics

JAMB

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
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