Medium
Match List $I$ with List $II$ :
List $I$ (Physical Quantity) List $II$ (Dimensional Formula) $(A)$ Pressure gradient $(I)$ $[M^0 L^2 T^{-2}]$ $(B)$ Energy density $(II)$ $[M^1 L^{-1} T^{-2}]$ $(C)$ Electric Field $(III)$ $[M^1 L^{-2} T^{-2}]$ $(D)$ Latent heat $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$
Choose the correct answer from the options given below:
| List $I$ (Physical Quantity) | List $II$ (Dimensional Formula) |
|---|---|
| $(A)$ Pressure gradient | $(I)$ $[M^0 L^2 T^{-2}]$ |
| $(B)$ Energy density | $(II)$ $[M^1 L^{-1} T^{-2}]$ |
| $(C)$ Electric Field | $(III)$ $[M^1 L^{-2} T^{-2}]$ |
| $(D)$ Latent heat | $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$ |
Choose the correct answer from the options given below:
- A$(A)-(III), (B)-(II), (C)-(I), (D)-(IV)$
- B$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
- C$(A)-(III), (B)-(II), (C)-(IV), (D)-(I)$
- D$(A)-(II), (B)-(III), (C)-(I), (D)-(IV)$
Explore More
Similar Questions
Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$.
Column $I$ Column $II$ $(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$ $(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$ $(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) $(r)$ $(\text{m})^2(\text{s})^{-2}$ $(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$
| Column $I$ | Column $II$ |
| $(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) | $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$ |
| $(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) | $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$ |
| $(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) | $(r)$ $(\text{m})^2(\text{s})^{-2}$ |
| $(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) | $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$ |
Choose the physical quantity pair with the same dimensions.
Identify the pair that has the same dimensions.
Medium
View SolutionChoose the correct match:
List-$I$ List-$II$ $(i)$ Curie $(A)$ $MLT^{-2}$ $(ii)$ Light year $(B)$ $M$ $(iii)$ Dielectric strength $(C)$ Dimensionless $(iv)$ Atomic weight $(D)$ $T$ $(v)$ Decibel $(E)$ $ML^2T^{-2}$ $(F)$ $MT^{-3}$ $(G)$ $T^{-1}$ $(H)$ $L$ $(I)$ $MLT^{-3}I^{-1}$ $(J)$ $LT^{-1}$
| List-$I$ | List-$II$ |
|---|---|
| $(i)$ Curie | $(A)$ $MLT^{-2}$ |
| $(ii)$ Light year | $(B)$ $M$ |
| $(iii)$ Dielectric strength | $(C)$ Dimensionless |
| $(iv)$ Atomic weight | $(D)$ $T$ |
| $(v)$ Decibel | $(E)$ $ML^2T^{-2}$ |
| $(F)$ $MT^{-3}$ | |
| $(G)$ $T^{-1}$ | |
| $(H)$ $L$ | |
| $(I)$ $MLT^{-3}I^{-1}$ | |
| $(J)$ $LT^{-1}$ |
MediumIIT 1992
View SolutionEstimate the average mass density of a sodium atom assuming its size to be about $2.5 \; \mathring{A}$. (Use the known values of Avogadro's number and the atomic mass of sodium). Compare it with the mass density of sodium in its crystalline phase: $970 \; kg \; m^{-3}$. Are the two densities of the same order of magnitude? If so,why?
Medium
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