<u>Answer:</u> The photon was emitted from the 4th energy level
<u>Explanation:</u>
To calculate the wavelength of light, we use the equation:

where,
= wavelength of the light
c = speed of light = 
= frequency of light = 
Putting the values in above equation, we get:
To calculate the initial level, we use the equation given by Rydberg's equation, which is:

where,
= Wavelength of radiation 
= Rydberg's Constant = 
= Final energy level = 1
= Initial energy level = ?
Putting the values, in above equation, we get


Hence, the photon was emitted from the 4th energy level
Answer: It will take 0.50 minutes for it to decompose to 28.2% of its initial value
Explanation:
Integrated rate law for second order kinetics is given by:

a= concentration left after time t = 
k = rate constant =
= initial concentration = 1.77
t= time taken for decomposition


Thus it will take 0.50 minutes for it to decompose to 28.2% of its initial value
The density of water at 20 °C is 0.9982 g/cm^{3} or 998.2 g/L. The volume of water is 0.127 L thus, its mass can be calculated from the following formula:
d=\frac{m}{V}
Here, d is density, m is mass and V is volume of water.
On rearranging,
m=d×V=(998.2 g/L)(0.127 L)=126.7 g
Thus, mass of water is 126.7 g.