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The name of the element having atomic number , was adopted in the honour of:
A.Alfred Nobel
B.Enrico Fermi
C.Dmitri Mendeleev
D.Albert Einstein

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Answer
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Hint: Name of the elements are given by scientists according to their name or according to the place where they were found or may be given by the name of the reaction through the existence of the metal was found.

Complete step by step answer:
First we will describe the elements, atomic mass, atomic number and then we will come to the point how they got names.
Elements: It is defined as a substance which cannot be further broken down by chemical or any physical method. Elements are made up of atoms. Atoms contain three types of particles: Electrons, protons and neutrons.
Elements are classified into two categories: Metals and non-metals. There is also a third category known as metalloids which act as metals as well as non-metals.
Metals : Metals are generally solid at room temperature. They are silvery-grey in colour. They are shiny in nature. They are hard to cut. They are malleable (which can be hammered to thin sheets) and ductile (which can be drawn into thin wires). They are good conductors of heat and electricity. They have high melting and boiling points. They are sonorous (produce sound when stuck).
Non-metals : Non- metals found in every state (i.e. solid, liquid and gas) at room temperature. They are different colours. They are dull to see. They are soft to cut. They are non-malleable (which cannot be hammered to thin sheets) and non-ductile (which cannot be drawn into thin wires). They are bad conductors of heat and electricity. They have low melting and boiling points. They are non-sonorous (does not produce sound when stuck).
Atomic number: It is defined as the number of protons in the atom of an element. It is represented by the symbol Z.
Atomic mass: It is defined as the sum of the number of protons and number of neutrons present in the nucleus of an atom of an element. It is represented by the symbol A.
The name of the element is given either according to the name of the scientist or according to the place where they were found.
The name of the element of atomic number $100$ is given by the scientist Enrico Fermi.

So, the correct answer is Option B .

Note:
In the atom there is a room where protons and neutrons are present and outside of that room electrons revolve in a fixed orbit. That room is known as the nucleus. And the size of the nucleus is very small as compared to the size of the atom.