You're not given the acceleration
, so you should use the equation that doesn't involve it (the last choice).
The question is incomplete. The complete question is :
A plate of uniform areal density
is bounded by the four curves:




where x and y are in meters. Point
has coordinates
and
. What is the moment of inertia
of the plate about the point
?
Solution :
Given :




and
,
,
.
So,

, 



![$I=2 \int_1^2 \left( \left[ (x-1)^2y+\frac{(y+2)^3}{3}\right]_{-x^2+4x-5}^{x^2+4x+6}\right) \ dx$](https://tex.z-dn.net/?f=%24I%3D2%20%5Cint_1%5E2%20%5Cleft%28%20%5Cleft%5B%20%28x-1%29%5E2y%2B%5Cfrac%7B%28y%2B2%29%5E3%7D%7B3%7D%5Cright%5D_%7B-x%5E2%2B4x-5%7D%5E%7Bx%5E2%2B4x%2B6%7D%5Cright%29%20%5C%20dx%24)



So the moment of inertia is
.
Answer:
Refractive index of liquid C > Refractive index of liquid B > Refractive index of liquid A
Explanation:
Let the depth of each section is h.
That means the real depth for each section is h.
Apparent depth is liquid A is 7 cm.
Apparent depth in liquid B is 6 cm.
Apparent depth in liquid C is 5 cm.
by the formula of the refractive index
n = real depth / apparent depth
where, n is the refractive index of the liquid.
For liquid A:
.... (1)
For liquid B:
..... (2)
For liquid C:
..... (3)
By comparing all the three equations
nc > nB > nA
Refractive index of liquid C > Refractive index of liquid B > Refractive index of liquid A
Distillation is a process in many laboratories for the purpose of
separating and/or purifying components of a liquid mixture. The distillation apparatus used consists of
three major parts: <span>distillation flask - to heat the mixture and volatilize the components,
a condenser to cool the vapors back to liquid state, and a collection vessel. The apparatus is typically made of glass and
therefore subject to breakage.</span> <span>All components of the distillation apparatus
should be protected to a stable stand or rack to avoid it from falling over.</span>