Wilhelm Wien was a very productive researcher of Blackbody Radiation. In addition to his Displacement Law of 1893 in the previous problem, he also derived his Distribution Law of 1896 through careful thermodynamic analysis of the energy and momentum in an electromagnetic field. The Distribution Law says that whatever function would eventually be found to describe Blackbody Radiation, it had to be of the form g(λT)/λ^5 . He proposed an exponential form for the function g(λT), leading here to:
Rwien (λ,T)= f(T) * (λ0/λ)^5 / exp(λ0/λ)
where f(T) is the same function as in the Planck formula above.
1. At a fixed temperature, calculate the value of λ, in units of λ0, at which the Wien formula is maximized.

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

another example of kinetic energy would be,

kinetic energy   >     moving energy

answer   >   letter choice (c),   a hammer falling off a table.

hope that !                                         : )