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Question: What is the value of 1 fermi in m? A) \[{10^{ - 3}}\] B) \[{10^{ - 6}}\] C) \[{10^{15}}\] ...

What is the value of 1 fermi in m?
A) 10−3{10^{ - 3}}
B) 10−6{10^{ - 6}}
C) 1015{10^{15}}
D) 10−15{10^{ - 15}}

Explanation

Solution

Length is a measure of the distance a body travels or the size of the object. We will use the conversion of 1 meter to fermi to determine the value of 1 fermi in metres.

Complete step by step answer:
The value of fermi is also known sometimes as a femtometer.
We know that the relation between 1 meter and 1 femtometer is given as
1 m=1015 fm1\,m = {10^{15}}\,fm
Since a fermi is equal to the length of a femtometer, there are 1015{10^{15}} femtometers in 1 meter. This relation can be inverted and we can write that the number of metres in 1 fermi will be
1 fm=10−15m1\,fm = {10^{ - 15}}m
Hence the value of 1 fermi in metres is 10−15{10^{ - 15}} metres which correspond to option (D).
Additional information: A fermi is a small unit of measurement that measures length. It is another name for a femtometer which is one- quadrillionth of a meter. The unit of femtometers is used in many fields, such as nuclear physics where the typical distance between particles is of the order of a few fermis. For example, the charge radius of a proton is approximately 0.8310.831 fermi while the radius of a gold nucleus is approximately 8.458.45 fermi.
The relation of the meter with different units is given as
1 centimetre (cm) = 0.01 m
1 millimetre (mm) = 0.001 m
1 micrometre (μm) = 10−6{10^{ - 6}}m
1 nanometre (nm) = 10−9 {10^{ - 9}}\,m

Note: To solve such questions, we must memorize the relations between different units of length. The fermi is just another word for a femtometer of length and we should realize to directly utilize the relation with a meter and a femtometer to convert the length in fermi to metres.