Question

The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.3 cm, then what weight would produce an extension of 13.8 cm?

Answer 1

Correct option is

A

900 gram

Let x gm be the weight that would produce an extension of 17.4cm

Weight ( in gm ) 150 x

Length ( in cm ) 2.9 17.4

Since, the amount of extension in an elastic string and the weight hung on it are in direct variation.

∴

x

150

=

17.4

2.9

⇒ 17.4×150=2.9×x

⇒ x=

2.9

17.4×150

⇒ x=

2.9

2610

∴ x=900

∴ The required weight will be 900 gm.