
The radius of the nucleus of an atom of mass number is :
Answer
473.4k+ views
Hint: This is a simple question of finding the radius of the nucleus. We can do that using the formula, which is readily available and is widely used to find the radius of the nucleus. All the values related to the formula are given in the question, we need to just substitute the value in the formula and we will get the answer directly.
Formula used:
Complete Step-by-Step solution :
We know that, radius of the nucleus can be calculated using the below formula,
where, is a constant and the value for which is given in the question, and
is the mass number of an atom, which is also given in the question.
So, after substituting the value in the above equation, we get –
Hence, the radius of the nucleus of an atom is .
Therefore, the correct answer is Option (A).
Additional Information:
The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment. After the discovery of the neutron in 1932, models for a nucleus composed of protons and neutrons were quickly developed by Dmitri Ivanenko and Werner Heisenberg. An atom is composed of a positively-charged nucleus, with a cloud of negatively-charged electrons surrounding it, bound together by electrostatic force. Almost all of the mass of an atom is located in the nucleus, with a very small contribution from the electron cloud. Protons and neutrons are bound together to form a nucleus by the nuclear force.
Note:
This is a simple question of substituting the value given in the question in the formula, just the one important thing that we should know is the formula for finding the radius of the nucleus of an atom. If the formula is known, then it becomes a simple question of finding the answer by substituting the value.
Formula used:
Complete Step-by-Step solution :
We know that, radius of the nucleus can be calculated using the below formula,
where,
So, after substituting the value in the above equation, we get –
Hence, the radius of the nucleus of an atom is
Therefore, the correct answer is Option (A).
Additional Information:
The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment. After the discovery of the neutron in 1932, models for a nucleus composed of protons and neutrons were quickly developed by Dmitri Ivanenko and Werner Heisenberg. An atom is composed of a positively-charged nucleus, with a cloud of negatively-charged electrons surrounding it, bound together by electrostatic force. Almost all of the mass of an atom is located in the nucleus, with a very small contribution from the electron cloud. Protons and neutrons are bound together to form a nucleus by the nuclear force.
Note:
This is a simple question of substituting the value given in the question in the formula, just the one important thing that we should know is the formula for finding the radius of the nucleus of an atom. If the formula is known, then it becomes a simple question of finding the answer by substituting the value.
Latest Vedantu courses for you
Grade 9 | CBSE | SCHOOL | English
Vedantu 9 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹35,000 per year
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
Give 10 examples of unisexual and bisexual flowers

Draw a labelled sketch of the human eye class 12 physics CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Differentiate between insitu conservation and exsitu class 12 biology CBSE

What are the major means of transport Explain each class 12 social science CBSE

Franz thinks Will they make them sing in German even class 12 english CBSE
