Medium
Match the physical quantities given in List-$I$ with their dimensions in List-$II$.
List-$I$ List-$II$ $A$. Gravitational potential $I$. $M^0 L^2 T^{-2} K^{-1}$ $B$. Stefan's constant $II$. $M^0 L^2 T^{-2}$ $C$. Permittivity $III$. $M L^0 T^{-3} K^{-4}$ $D$. Specific heat capacity $IV$. $M^{-1} L^{-3} T^4 I^2$
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
| List-$I$ | List-$II$ |
| $A$. Gravitational potential | $I$. $M^0 L^2 T^{-2} K^{-1}$ |
| $B$. Stefan's constant | $II$. $M^0 L^2 T^{-2}$ |
| $C$. Permittivity | $III$. $M L^0 T^{-3} K^{-4}$ |
| $D$. Specific heat capacity | $IV$. $M^{-1} L^{-3} T^4 I^2$ |
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
- A$A-IV, B-I, C-III, D-II$
- B$A-I, B-IV, C-II, D-III$
- C$A-III, B-II, C-I, D-IV$
- D$A-II, B-III, C-IV, D-I$
Explore More
Similar Questions
State whether the following statements are true or false:
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.
Medium
View SolutionIdentify the physical quantity that has the unit $N\,m^{-1}\,s^{-2}$.
Medium
View SolutionThe quantities which have the same dimensions as those of solid angle are:
MediumNEET 2024
View SolutionMatch List-$I$ with List-$II$ and select the correct answer.
List-$I$ List-$II$ $A$. Spring constant $1$. $M^1L^2T^{-2}$ $B$. Pascal $2$. $M^0L^0T^{-1}$ $C$. Hertz $3$. $M^1L^0T^{-2}$ $D$. Joule $4$. $M^1L^{-1}T^{-2}$
| List-$I$ | List-$II$ |
|---|---|
| $A$. Spring constant | $1$. $M^1L^2T^{-2}$ |
| $B$. Pascal | $2$. $M^0L^0T^{-1}$ |
| $C$. Hertz | $3$. $M^1L^0T^{-2}$ |
| $D$. Joule | $4$. $M^1L^{-1}T^{-2}$ |
Medium
View SolutionNames of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultAP EAMCET 2005
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo