Afission-based nuclear bomb such as those used in world war ii) uses the nuclear reactions (8.5x 10^13 j) and amount of fuel of 9.4 kg. however, by alloweing an uncontrolled chain reaction to occur, all of the bomb's energy can be released in about 1.0 x 10^-6 s. what is the average power of the nuclear bomb?

To solve this problem we must use the mathematical relations concerning the Power as a function of the energy released in a certain period of time. In other words:

Where,

Energy

time

Replacing this values we have that

Therefore the average power of the nuclear bomb is

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m