JEE Mains · Chemistry · STD 11 - 2. structure of atom
Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter \(10^{-15} \mathrm{~m}\) is _______ \(\times 10^9 \mathrm{~ms}^{-1}\). (nearest integer) [Given : mass of electron \(=9.1 \times 10^{-31} \mathrm{~kg}\), Plank's constant \((\mathrm{h})=6.626 \times 10^{-34} \mathrm{JS}\) ] (Value of \(\pi=3.14\) )
- A \(12\)
- B \(65\)
- C \(58\)
- D \(20\)
Answer & Solution
Correct Answer
(C) \(58\)
Step-by-step Solution
Detailed explanation
\( \mathrm{m} \Delta \mathrm{V} \cdot \Delta \mathrm{x}=\frac{\mathrm{h}}{4 \pi} \) \(\Delta \mathrm{V} \)\( =\frac{6.626 \times 10^{-34}}{9.1 \times 10^{-31} \times 10^{-15} \times 4 \times 3.14} \) \( =57.97 \times 10^{+9} \mathrm{~m} / \mathrm{sec}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- Two isomers \('A'\) and \('B'\) with molecular formula \(C _{4} H _{8}\) give different products on oxidation with \(KMnO _{4}\) in acidic medium. Isomer ' \(A\) ' on reaction with \(KMnO _{4} / H ^{+}\)results in effervescence of a gas and gives ketone. The compound ' \(A\) ' is ...... .JEE Mains 2022 Medium
- The number of \(N\) atoms is \(681 \,g\) of \(C _{7} H _{5} N _{3} O _{6}\) is \(x \times 10^{21}\). The value of \(x\) is \(.....\) \(\left( N _{ A }=6.02 \times\right.\) \(10^{23}\, mol ^{-1}\) ) (Nearest Integer)JEE Mains 2022 Hard
- ' X ' is the number of acidic oxides among \(\mathrm{VO}_2\), \(\mathrm{V}_2 \mathrm{O}_3, \mathrm{CrO}_3, \mathrm{~V}_2 \mathrm{O}_5\) and \(\mathrm{Mn}_2 \mathrm{O}_7\). The primary valency of cobalt in \(\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{NCH}_2 \mathrm{CH}_2 \mathrm{NH}_2\right)_3\right]_2\left(\mathrm{SO}_4\right)_3\) is Y. The value of \(\mathrm{X}+\mathrm{Y}\) is _______.JEE Mains 2025 Medium
- Quantitative analysis of an organic compound (X) shows following % composition.
C : \(14.5 \%\)
Cl : 64.46%
H: 1.8 %
(Empirical formula mass of the compound \((\mathrm{X})\) is __________ \(\times 10^{-1}\)
(Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1}\) of \(\mathrm{C}: 12, \mathrm{H}: 1, \mathrm{O}: 16, \mathrm{Cl}: 35.5\))JEE Mains 2025 Medium - The electron affinity value are negative for _______. \(A\). \(\mathrm{Be} \rightarrow \mathrm{Be}^{-}\) \(B\). \(\mathrm{N} \rightarrow \mathrm{N}^{-}\) \(C\). \(\mathrm{O} \rightarrow \mathrm{O}^{2-}\) \(D\). \(\mathrm{Na} \rightarrow \mathrm{Na}^{-}\) \(E\). \(\mathrm{Al} \rightarrow \mathrm{Al}^{-}\) Choose the most appropriate answer from the options given below :JEE Mains 2024 Medium
- \(A.\) Phenyl methanamine \(B.\) \(N , N\) -Dimethylaniline \(C.\) N-Methyl aniline \(D.\) Benzenamine Choose the correct order of basic nature of the above amines.JEE Mains 2021 Easy
More PYQs from JEE Mains
- The plane passing through the poin \((4, -1, 2)\) and parallel to the lines \(\frac{{x + 2}}{3} = \frac{{y - 2}}{{ - 1}} = \frac{{z + 1}}{2}\) and \(\frac{{x - 2}}{1} = \frac{{y - 3}}{2} = \frac{{z - 4}}{3}\) also passes through the pointJEE Mains 2019 Hard
- When Uranium is bombarded with neutrons, it undergoes fission. The fission reaction can be written as \({}_{92}{U^{235}} + {}_0{n^1} \to {}_{56}B{a^{141}} + {}_{36}K{r^{92}} + 3x + Q{\rm{( energy)}}\) where three particles named \(x\) are produced and energy \(Q\) is released. What is the name of the particle \(x\) ?JEE Mains 2013 Medium
- Considering only the principal values of the inverse trigonometric functions, the domain of the function \(f(x)=\cos ^{-1}\left(\frac{x^{2}-4 x+2}{x^{2}+3}\right)\) is.JEE Mains 2022 Medium
- The area (in sq. units) of the region \(\left\{(\mathrm{x}, \mathrm{y}) \in \mathrm{R}^{2} | 4 \mathrm{x}^{2} \leq \mathrm{y} \leq 8 \mathrm{x}+12\right)\) isJEE Mains 2020 Hard
- In an experiment to verify Stokes law, a small spherical ball of radius \(r\) and density \(\rho\) falls under gravity through a distance \(h\) in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of \(h\) is proportional to : (ignore viscosity of air)JEE Mains 2020 Medium
- \(2.0\) g of a bromo hydrocarbon \((X)\) was subjected to Carius analysis, gave \(3.36\) g of \(AgBr\). The percentage of carbon in the compound \((X)\) is \(26.7\%\). Total number of carbon atoms in the empirical formula for compound \((X)\) is _____. (Given molar mass in g mol\(^{-1}\) H:\(1\), C:\(12\), Br:\(80\), Ag:\(108\))JEE Mains 2026 Hard