AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Offline Centres

What will be the length of 13.2 kg copper wire with a diameter of 4 mm, if 1 cubic cm of copper weighs 8.4 gm?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

120m

115m

125m

130m

answer is C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that,
The weight of the copper wire is 13.2 kg and its diameter is 4 mm.
One cubic centimetre of the copper wire weighs 8.4 grams.

Density = weight volume

So,

volume = weight density

The volume of the cylinder =

π r 2 l

l = v o l u m e π r 2

Here,
l = length
h = height
The density of the copper wire,

8.4 1 = 8.4 g m / c m 3

Volume of the cylinder,

= 13.2 8.4 = 1.57143 k g = 1571.43 g [∵ 1 k g = 1000 g]

The length of the wire,

l = 1571.43 m 3 π (0.2 c m) 2 l = 7 × 1571.43 m 3 22 (0.2 c m) 2 l = 12500 c m [∵ 1 m = 100 c m] l = 125 m

Thus, the length of the given amount of copper will be 125m.
Therefore, the correct option is 3.

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test