The correct answer to the question is : C) The horizontal momentum and the vertical momentum are both conserved.
EXPLANATION :
Before coming into any conclusion, first we have to understand the law of conservation of momentum.
As per the law of conservation of momentum, the total linear as well as angular momentum of an isolated system is always conserved . The law of conservation of energy is a universal fact.
Hence, during any type of collision, the total momentum is always conserved.
Hence, the total horizontal momentum as well as total vertical momentum are always conserved during both elastic as well as inelastic collision.
Displacement = 0, assuming that he runs back to original position
Average velocity is displacement/ time, since displacement =0, velocity is also 0
claim
[klām]
VERB
state or assert that something is the case, typically without providing evidence or proof.
"he claimed that he came from a wealthy, educated family" · [more]
synonyms:
assert · declare · profess · maintain · state · hold · affirm · avow · aver · [more]
NOUN
an assertion of the truth of something, typically one that is disputed or in doubt.
"he was dogged by the claim that he had CIA links" · [more]
synonyms:
assertion · declaration · profession · affirmation · avowal · averment · protestation · representation · contention · submission · case · allegation · pretense · asseveration
a demand or request for something considered one's due.
"the court had denied their claims to asylum"
The indicated data are of clear understanding for the development of Airy's theory. In optics this phenomenon is described as an optical phenomenon in which The Light, due to its undulatory nature, tends to diffract when it passes through a circular opening.
The formula used for the radius of the Airy disk is given by,

Where,
Range of the radius
wavelength
f= focal length
Our values are given by,
State 1:



State 2:



Replacing in the first equation we have:


And also for,


Therefor, the airy disk radius ranges from
to 