If 12 m uniform rod weight 42 kg, then the weight of 5 m rod of the same type will be

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17.5 m

20 m

18 m

16.5 m

answer is A.

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Detailed Solution

Given a 12 m uniform rod weight of 42 kg.
We need to find the weight of 5 m rod of the same type.
Assume that the weight of 5 m rod would be

w

kg.
Understand the fact that mass of rod is in direct proportion with length of rod and hence the ratio of mass and length would be constant.

\frac{mass of rod}{length of rod} = constant

Equate the ratio of 42 kg mass and length 12 m with ratio of

w

kg mass and 5 m length to solve for

w

\frac{w}{5} = \frac{42}{12}

w = \frac{5 \times 42}{12}

w = \frac{210}{12}

w = 17.5

The weight of 5 m rod of the same type will be 17.5 m
Hence, the correct option is 1.

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