The refractive index for glycerine is

, while for air it is

.
When the light travels from a medium with greater refractive index to a medium with lower refractive index, there is a critical angle over which there is no refraction, but all the light is reflected. This critical angle is given by:

where n1 and n2 are the refractive indices of the two mediums. If we susbtitute the refractive index of glycerine and air in the formula, we find the critical angle for this case:
Answer:
1. An increase in the core temperature
2. A decrease in the core radius.
Explanation:
The sun is a Main Sequence star. A Main Sequence star is powered by fusing hydrogen into Helium within its core.
For this fusion to take place, a temperature of at least 10 million Kelvin is required, beyond this point, the fusion rate is directly related to the core temperature. If the temperature increases, the fusion rate will greatly increase.
Something similar happens if the core reduces its radius. This can happen at the end of the star's lifetime, shortly before it becomes a red giant. Once the hydrogen is depleted, the core will start to shrink because the force of gravity, and as it gets smaller, gets more compressed, and its temperature increases. The outer layers of remaining Hydrogen that were outside the core now begin to heat up, and as the core continues to shrink, the star gets hot enough to begin the fusion process again, and the fusion rate can even be higher than it was during the first phase of the star, as the star becomes a Red Giant.
Answer:
Mass=3,height=50 and time=15,g=10,P=?
P=mgh/t....which is 3×10×50=1500/15=100Watts
Answer:
Part a)

Part b)
Since the radius is decreasing so induced current will increase the flux through the coil
So it would be clockwise in direction
Explanation:
As we know that magnetic flux linked with the coil is given as

now the rate of change in flux is given as

now we know that circumference is decreasing at rate of 15 cm/s
so here we know the length of circumference as

So rate of change in circumference is


final length of circumference at t = 8 s

Part a)
Now the induced EMF is given as



Part b)
Since the radius is decreasing so induced current will increase the flux through the coil
So it would be clockwise in direction
Answer:
0.15 mV
Explanation:
In order to exhibit wave nature, the de Broglie wavelength of the electron must be of the same size of the diameter of the pinhole, therefore:

The de Broglie wavelength of an electron is

where
is the Planck constant
is the mass of the electron
v is the electron's speed
Therefore, the electron's speed must be

When accelerated through a potential difference
, the kinetic energy gained by the electron is equal to the change in electric potential energy, therefore

where
is the magnitude of the charge of the electron
So, we can find the potential difference needed:
