The size of molecules is smaller than the wavelength of visible light.
The light gets scattered towards the earth.
1
lout Tod uniform area of cross section 'A
Answers
Answered by
0
Answer:
Consider a small element of length dx at a distance x from the axis of rotation
Mass of the element, dm=
L
m
dx=μdx
where μ=
L
m
The centripetal force acting on the element is
dT=dmω
2
x=μω
2
xdx
As this force is provided by tension in the rod (due to elasticity), so the tension in therod at a distance x from the axis of rotation will be due to the cetripetal force due to all elements between x=x to x=L
∴T=∫
x
L
μω
2
xdx=
2
μω
2
[L
2
−x
2
]....(i)
Let dl be increase in length of the element. Then
Y=
dl/dx
T/A
dl=
YA
Tdx
=
2YA
μω
2
[L
2
−x
2
]dx [Using (i)]
So the total elongation of the whole rod is
l=∫
0
L
2YA
μω
2
[L
2
−x
2
]dx
=
2YA
μω
2
[L
2
x−
3
x
3
]
0
L
=
3
1
YA
μω
2
L
3
=
3
1
YA
mω
2
L
2
Similar questions