Question

[" A metallic thin wire has uniform thickness."],[" From this wire,two circular loops of "2^(" ad ")" loop "],[" 2"r" are made.If moment of inertia of "2^(" ad ")" loop "],[" about its natural aris is n times moment of "],[" inertia of "1" st loop about its natural axis.The "],[" value of "n" is "]​

Answer 1

Answer:

Please send biology doubts in biology section. Don't send any of the questions like you gave in biology..

Answer 2

Answer:

The Value of n is 8.

Explanation:

Let us suppose the mass of the wire is A and length of the wire is B.  

Radius of the 1st loop = r

Circumference of the 1st segment = 2 πr.  

Radius of the 2nd loop = 2 r.

Circumference of the 2nd segment = $2 \pi \times 2 r=4 \pi r$

Total length of the wire = B = $2 \pi r+4 \pi r=6 \pi r$

So, the mass of the wire = A = 6 πr

So, mass of 2 $\pi r=\frac{A}{3}$

Mass of 4 $\pi r=\frac{2 A}{3}$

$I_{2}=n I_{1}$

$\frac{2 A}{3} \times 4 r^{2}=n \times \frac{m}{3} \times r^{2}$

So, n = 8