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Q.

The amount of extension in an elastic spring varies directly with the weight hanging on it. If a weight of 250 gm produces an extension of 3.5 cm, what is the extension produced by the weight of 700 gm?

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a

9.8 cm

b

9.7 cm

c

9.6 cm

d

9.5 cm

answer is A.

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Detailed Solution

Given, the amount of extension in the elastic string and the weight are in direct variation. A weight of 250 gm produces an extension of 3.5 cm.
Let the extension produced by the weight of 700 gm be x cm.
Take the corresponding ratios equal and solve.

\frac{250}{3.5} = \frac{700}{x}

250x = 700(3.5)
250x = 2450
x = 9.8
Thus, the extension produced by the weight of 700 gm is 9.8 cm.
Hence, option 4 is correct.

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