GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 9 of 65

Marks: +1, -0

The price of a wire made of a superalloy material is proportional to the square of its length. The price of

10 {m}

length of the wire is Rs.

1600 .

What would be the total price (in Rs.) of two wires of lengths

4 {m}

and 6

{m} ?

Solution:

C ∞ W^{2}

C=k W^{2}

⇒ \;\; C=k(10)^{2}=100 k=1600 ⇒ k=16

C_{1}=k(4)^{2}=16 k

C_{2}=k(6)^{2}=36 k

Now total cost

=52 k=52 × 16=832

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