Learning Materials
Features
Discover
Chapter 1: Problem 2
Physics' comes from a ............ word meaning nature (A) Hindi (B) German (C) Greek (D) Sanskrit
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
In the relation $P=(\alpha / \beta) \mathrm{e}[\\{-\alpha z\\} /\\{(\mathrm{k}) \beta \theta\\}], \mathrm{P}\( is pressure, \)\mathrm{z}$ is distance, \(\mathrm{k}\) is Boltzmann constant and \(\theta\) is the temperature. The dimensional formula of \(B\) will be (a) \(\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{0}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{0} \mathrm{~T}^{1}\) (c) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{0}\) Copyright \(\odot\) StemEZ.com. All rights reserved.
The periodic time of simple pendulum is $\mathrm{T}=2 \pi \sqrt{(\ell / \mathrm{g})}\( relative error in the measurement of \)\mathrm{T}\( and \)\ell$ are \(\pm \mathrm{a}\) and \(\pm \mathrm{b}\) respectively find relative error in the measurement of \(g\) (a) \(a+b\) (b) \(2 \mathrm{~b}+\mathrm{a}\) (c) \(2 \mathrm{a}+\mathrm{b}\) (d) \(a-b\)
Equation of physical quantity \(\mathrm{v}=\mathrm{at}+\mathrm{bt}^{2}\) where \(\mathrm{v}=\) velocity \(\mathrm{t}=\) time so write the dimensional formula of a in this equation (a) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{-2}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{0}\)
Test if the following equation are dimensionally correct \((\mathrm{S}=\) surface tension \(\rho=\) density \(\mathrm{P}=\) pressure \(\mathrm{v}=\) volume \(\mathrm{n}=\) coefficient of viscosity \(\mathrm{r}=\) radius \()\) (a) \(\mathrm{h}=[(2 \mathrm{~S} \cos \theta) /(\rho \mathrm{rg})]\) (b) \(\mathrm{v}=\sqrt{(p / \rho)}\) (c) $\mathrm{v}=\left[\left(\pi \mathrm{pr}^{4} \mathrm{t}\right) /(8 \mathrm{n} \ell)\right]$ (d) all correct
The resistance \(\mathrm{R}=\mathrm{V} / \mathrm{I}\) where $\mathrm{V}=100 \pm 5\( volts and \)\mathrm{I}=10 \pm 0.3$ amperes calculate the percentage error in \(\mathrm{R}\) (a) \(8 \%\) (b) \(10 \%\) (c) \(12 \%\) (d) \(14 \%\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App