Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 4

What is the approximate value of the Radius of a nucleus? (a) \(10^{-14} \mathrm{~m}\) (b) \(10^{-31} \mathrm{~m}\) (c) \(10^{-19} \mathrm{~m}\) (d) \(10^{-15} \mathrm{~m}\)

Short Answer

Expert verified
The appropriate value of the radius of a nucleus is approximately \(10^{-15} \mathrm{~m}\) (option d).

Step by step solution

01

Recall the size of an atom

Atoms are typically on the order of \(10^{-10}\) meters (1 Ångström) in diameter.
02

Compare the size of a nucleus to an atom

A nucleus is much smaller than an atom. It is composed of protons and neutrons and constitutes only a tiny part of the total volume of an atom, with the electrons occupying most of the atom's space.
03

Evaluate each option

(a) \(10^{-14} \mathrm{~m}\): This value is 1000 times smaller than the diameter of a typical atom, and it is within the appropriate range for the size of a nucleus. (b) \(10^{-31} \mathrm{~m}\): This value is far too small, as it is many orders of magnitude smaller than even the Planck length. (c) \(10^{-19} \mathrm{~m}\): This value is also too small, as it is smaller than the size of a proton or neutron. (d) \(10^{-15} \mathrm{~m}\): This value is of the same order of magnitude as a femtometer, a unit commonly used to measure nuclear dimensions. Therefore, it is reasonable to consider this value.
04

Select the correct option

The appropriate value of the radius of a nucleus is approximately \(10^{-15} \mathrm{~m}\), which corresponds to the given option (d).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

100 picometer \(=\ldots \ldots \ldots \ldots\) (a) \(10^{-8} \mathrm{~cm}\) (b) \(10^{-7} \mathrm{~m}\) (c) \(10 \times 10^{-6} \mu \mathrm{m}\) (d) \(10 \times 10^{-8} \mu \mathrm{m}\)

Write the dimensional formula of the ratio of linear momentum to angular momentum. (a) \(\mathrm{M}^{0} \mathrm{~L}^{-1} \mathrm{~T}^{0}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{0}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{0}\) (d) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{1}\)

Write the dimensional formula of r.m.s (root mean square) speed. (a) \(\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2}\) (b) \(\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{-2}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{0} \mathrm{~T}^{-1}\)

\([(1\) femtometer \() /(100\) nanometer \()]=\ldots \ldots \ldots \ldots \ldots\) (a) \(10^{-6}\) (b) \(10^{-8}\) (c) \(10^{24}\) (d) \(10^{-24}\)

Which of the following numerical value have significant figure \(4 ?\) (a) \(1.011\) (b) \(0.010\) (c) \(0.001\) (d) \(0.100\)
See all solutions

Recommended explanations on English Textbooks

Lexis and Semantics Summary

Read Explanation

Essay Prompts

Read Explanation

Phonetics

Read Explanation

Graphology

Read Explanation

Research and Composition

Read Explanation

Prosody

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free