Which two of the following five physical paramenters have the same dimensions ? (1) energy density (2) refractive index (3) dielectric constant (4) Young's modulus

Q: Which two of the following five physical paramenters have the same dimensions $?$ $(1) $ energy density $(2)$ refractive index $(3) $ dielectric constant $(4) $ Young's modulus $(5)$ magnetic field

a Energy density = $[ {\frac{{workd\,done}}{{volume}}} ] = \frac{{ML{T^{ - 2}} \cdot L}}{{{L^3}}} = [ {M{L^{ - 1}}{T^{ - 2}}}$ Young's modulus = $\left[ Y \right] = \left[ {\frac{{Force}}{{Area}}} \right] \times \frac{{\left[ l \right]}}{{\left[ {\Delta l} \right]}}$ $= \frac{{ML{T^{ - 2}}}}{{{L^2}}}\, \cdot \frac{L}{L} = \left[ {M{L^{ - 1}}{T^{ - 2}}} \right]$ The dimensionsof $1$ and $4$ are the same.

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

Which two of the following five physical paramenters have the same dimensions $?$

$(1) $ energy density

$(2)$ refractive index

$(3) $ dielectric constant

$(4) $ Young's modulus

$(5)$ magnetic field

A$1$ and $4$
B$1$ and $5$
C$2$ and $4$
D$3$ and $5$

AIPMT 2008, Medium

STD 11 Science
JEE
STD 11 - 1. units,dimensions and measurement
Physics

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