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Question: One fermi is equivalent to: A. \[\text{1}{{\text{0}}^{\text{14}}}\text{meter}\] B. \[\text{1}{{\...

One fermi is equivalent to:
A. 1014meter\text{1}{{\text{0}}^{\text{14}}}\text{meter}
B. 10-14meter\text{1}{{\text{0}}^{\text{-14}}}\text{meter}
C. 1015meter\text{1}{{\text{0}}^{\text{15}}}\text{meter}
D. 10-15meter\text{1}{{\text{0}}^{\text{-15}}}\text{meter}

Explanation

Solution

Hint: Another name for the unit Fermi is Femto that comes from a Danish work meaning fifteen.

Complete step by step answer:
The fermi-meter is a Prefix of length in the metric system and it is equal to 10−15{{10}^{-15}}meters. Another name for Fermi is Femto . The name Fermi was given in the honour of a famous experimental physicist Enrico Fermi from Italy, who had a great contribution in the field of Nuclear Physics and won a Nobel prize in Physics for his work on radioactivity. Enrico Fermi got his Nobel prize in 1938 for his work on radioactive substances and nuclear bombardment and he was also the head of the group that produced the first controlled nuclear reaction in 1942. Fermi is an important length scale in nuclear physics as the Radius of a nucleus is of the order of fermi.
Now, we know that
1Fermi=10-15meters\text{1Fermi=1}{{\text{0}}^{\text{-15}}}\text{meters}
The correct answer is option D. 10-15meter\text{1}{{\text{0}}^{\text{-15}}}\text{meter}

Additional Information: The fermi is a useful length scale in nuclear physics as we have to study the elements at atomic scale. The interatomic spacing between two nucleons ranges in the order of fermi. Protons and neutrons collectively known as nucleons are packed together in a space of a few fermis.
Some other commonly used prefixes in the metric system of units are:
Giga (G) =109\text{=1}{{\text{0}}^{9}}
Mega (M) =106\text{=1}{{\text{0}}^{6}}
Kilo (k) =103\text{=1}{{\text{0}}^{3}}
Hecto(h) =102\text{=1}{{\text{0}}^{2}}
Deka(da) =101\text{=1}{{\text{0}}^{1}}
Deci(d) =10−1\text{=1}{{\text{0}}^{-1}}
Centi(c) =10−2\text{=1}{{\text{0}}^{-2}}
Milli(m) =10−3\text{=1}{{\text{0}}^{-3}}
Micro (μ)(\mu ) =10−6\text{=1}{{\text{0}}^{-6}}
Nano(n) =10−9\text{=1}{{\text{0}}^{-9}}
Pico(p) =10−12\text{=1}{{\text{0}}^{-12}}

Note: Students should not get confused between 10-15meter\text{1}{{\text{0}}^{\text{-15}}}\text{meter} and 1015meter\text{1}{{\text{0}}^{\text{15}}}\text{meter}. Since it is a unit mostly used in atomic scale measurements it would definitely be 10-15meter\text{1}{{\text{0}}^{\text{-15}}}\text{meter}.