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Question: The number of fermi in 1 meter is A. \({10^{13}}\) B. \({10^{14}}\) C. \({10^{15}}\) D. \...

The number of fermi in 1 meter is
A. 1013{10^{13}}
B. 1014{10^{14}}
C. 1015{10^{15}}
D. 1016{10^{16}}

Explanation

Solution

Hint Fermi is a unit of measurement. It is used as a prefix. Its value is equal to 10−15{10^{ - 15}} . If fermi is used as the prefix for the measurement of length than one fermi is equal to 10−15{10^{ - 15}} meter. So, crossing over one meter has 1015{10^{15}} fermi. Nuclear distances are usually measured in Fermi.

Complete Step by step solution
1fermi=1×10−15  m1fermi = 1 \times {10^{ - 15}}\;m
Therefore 1015{10^{15}} fermi = 1meter
The metric unit prefix femto means one quadrillionth, or one (1) with fourteen (14) nulls in front of it, i.e. 0.000,000,000,000,01 or 1×10−151 \times {10^{ - 15}} . That makes one femtometer equal to one quadrillionth of a meter.
The unit was named after an Italian physicist Enrico Fermi. Nuclear distances are usually of this order so they are measured in Fermi. Use of Fermi has become obsolete now and instead a femtometer is used.

So we can also say that 11 fermi =1 = 1 femtometer

Note: Using 1fermi=1×10−15  m1fermi = 1 \times {10^{ - 15}}\;m , we get that 1015{10^{15}} fermi = 1meter . We also know that nuclear distances are of order 10−15{10^{ - 15}} and they are measured in Fermi. Femtometer is used instead of Fermi these days. Very short distance and physical quantities like in radius, mass and other quantities in atoms are usually measured in terms of fermi.