A horizontal turntable is made from a uniform solid disk and is initially rotating with angular velocity of 7.7 rad/s about a fixed vertical axis through its center. The turntable has a radius of 0.25 m and a moment of inertia of 0.0625 kg m2 about the rotation axis. A piece of clay, initially at rest, is dropped onto the turntable and sticks to it at a distance d= 0.28 m from its center as shown in the figure. The final angular velocity of the turntable and the clay after the collision is 3.7 rad/s. Treat the piece of clay as a point particle and assume that there are no external torques acting on the system around the rotation axis.

1)Which of these quantities are conserved during the collision?

a. The total linear momentum of the clay and the turntable.
b. The total angular momentum of the clay and the turntable about the rotation axis.
c. The angular momentum of the turntable about the rotation axis.
d. The angular momentum of the clay about the rotation axis.
e. The mechanical energy of the clay and the turntable

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

i would say