(C) The volume of a cylinder is given by $V = \pi r^2 l$.The relative error in volume is given by $\frac{\Delta V}{V} = 2 \frac{\Delta r}{r} + \frac{\

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The volume of a cylinder is given by $V = \pi r^2 l$.The relative error in volume is given by $\frac{\Delta V}{V} = 2 \frac{\Delta r}{r} + \frac{\Delta l}{l}$.Given:Length $l = 5.0 \, cm$,$\Delta l = 0.1 \, cm$.Radius $r = 2.0 \, cm$,$\Delta r = 0.01 \, cm$ (since the least count of the vernier caliper applies to the diameter,the error in radius is the same as the least count of the instrument,$0.01 \, cm$).Percentage error in volume = $\left( 2 \frac{\Delta r}{r} + \frac{\Delta l}{l} \right) \times 100$.$= \left( 2 \times \frac{0.01}{2.0} \times 100 + \frac{0.1}{5.0} \times 100 \right) \%$.$= (1 + 2) \% = 3 \%$.

Class 11 Physics Units, Dimensions and Measurement Mix Examples-Units, Dimensions and Measurement

Medium

The length of a cylinder is measured with a meter rod having a least count of $0.1 \, cm$. Its diameter is measured with vernier calipers having a least count of $0.01 \, cm$. Given that the length is $5.0 \, cm$ and the radius is $2.0 \, cm$,the percentage error in the calculated value of the volume will be ......... $\%$

A
$1$
B
$2$
C
$3$
D
$4$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Units, Dimensions and Measurement

Subtopic

Mix Examples-Units, Dimensions and Measurement

Match List $I$ with List $II$:

List $I$ List $II$

$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$

$B$. Magnetic field $II$. $[L^2 A^1]$

$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$

$D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$

Choose the correct answer from the options given below:

DifficultJEE MAIN 2024

View Solution

Identify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$

Medium

View Solution

The quantities which have the same dimensions as those of solid angle are:

MediumNEET 2024

View Solution

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$

MediumJEE MAIN 2026

View Solution

Match the entries in List-$I$ with those in List-$II$.
$A$. Unified interaction reducing the number of fundamental forces from four to three $(i)$ Strong interaction
$B$. Force between two molecules separated by a distance near about the sum of the molecular radii $(ii)$ Gravitational force
$C$. Nuclear binding force $(iii)$ Electroweak interaction
$D$. Bodies of astronomical proportions $(iv)$ Electromagnetic interaction

EasyTS EAMCET 2018

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

List $I$	List $II$
$A$. Torque	$I$. $[M^1 L^1 T^{-2} A^{-2}]$
$B$. Magnetic field	$II$. $[L^2 A^1]$
$C$. Magnetic moment	$III$. $[M^1 T^{-2} A^{-1}]$
$D$. Permeability of free space	$IV$. $[M^1 L^2 T^{-2}]$

$LIST$-$I$	$LIST$-$II$
$A$. Planck's constant	$I$. $ML^2T^{-2}$
$B$. Stopping potential	$II$. $T^{-1}$
$C$. Work function	$III$. $ML^2T^{-1}$
$D$. Threshold frequency	$IV$. $ML^2T^{-3}A^{-1}$

$A$. Unified interaction reducing the number of fundamental forces from four to three	$(i)$ Strong interaction
$B$. Force between two molecules separated by a distance near about the sum of the molecular radii	$(ii)$ Gravitational force
$C$. Nuclear binding force	$(iii)$ Electroweak interaction
$D$. Bodies of astronomical proportions	$(iv)$ Electromagnetic interaction

Similar Questions

Match List $I$ with List $II$: List $I$ List $II$ $A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$ $B$. Magnetic field $II$. $[L^2 A^1]$ $C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$ $D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$ Choose the correct answer from the options given below:

Identify the physical parameters from the list given below that have the same dimensions:$(i)$ Magnetic field $(B)$$(ii)$ Energy density $(u)$$(iii)$ Refractive index $(\mu)$$(iv)$ Young's modulus $(Y)$$(v)$ Dielectric constant $(K)$

The quantities which have the same dimensions as those of solid angle are:

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:$LIST$-$I$$LIST$-$II$$A$. Planck's constant$I$. $ML^2T^{-2}$$B$. Stopping potential$II$. $T^{-1}$$C$. Work function$III$. $ML^2T^{-1}$$D$. Threshold frequency$IV$. $ML^2T^{-3}A^{-1}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Match List $I$ with List $II$:

List $I$ List $II$

$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$

$B$. Magnetic field $II$. $[L^2 A^1]$

$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$

$D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$

Choose the correct answer from the options given below:

Identify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$