Answer:
The total number of small cylinder = 7.
Explanation:
Lets take
Radius of the large cylinder = R
length = L
L = 10 R
The total area A = 2 π R² + π R L
The length of the small cylinder = l
The number of small cylinder = n
L = n l
The total area of small cylinders
A'=n (2 π R² + π R l)
As we know that emissive power given as
P = A ε σ T⁴
For large cylinder
P = A ε σ T⁴ -----------1
For small cylinders
P'=A' ε σ T⁴ ------2
From 1 and 2
Given that
P'= 2 P
A' ε σ T⁴ =2 A ε σ T⁴
A'=2 A (All others are constant)
n (2 π R² + π R l) =(2 2 π R² + π R L)
n (2 R² + R l) = (2 R² + R L)
L = 10 R
2 n +10 = 2 x 12
2 n +10 = 24
2 n = 24 -10
2 n = 14
n = 7
The total number of small cylinder = 7.