Question

pre board class question..




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Answer 1

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Answer 2

Thickness of the copper wire is 1/15 cm.

Explanation:

Given:

• Diameter of the copper rod = 1 cm
• Length of the copper rod = 8 cm
• Length of the wire = 18 m = 1800 cm [ 1 m = 100 cm]

Required to Find:

• Thickness of the wire i.e., diameter of the wire.

Solution:

Since,

copper rod and wire both are in shape of cylinder. and copper rod is drawn in to a wire,

Therefore,

Volume of the copper rod = Volume of the copper wire.

Let radius of the copper wire be r cm.

Since diameter of the copper rod is 1 cm

So, Radius of the copper rod = 1/2 cm = 0.5 cm

Now,

=> πR²H = πr²h

[Assuming that R and H be the radius and length (height) of the copper rod and r and h be the radius and length (height) of the copper wire]

=> R²H = r²h

=>(0.5)²*8 = r²*1800

=>2 = r²*1800

=>r² = 2/1800

=> r² = 1/900

=> r =√(1/900)

=> r = 1/30 cm

Therefore, Diameter of the wire = 2*r = 2*(1/30) = 1/15 cm.

So, the required thickness of the wire is 1/15 cm.

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