Consider the following statements:(A) Any phy | vedclass

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(A) Statement $(A)$ is correct: $A$ physical quantity can be measured in different units (e.g.,length can be measured in $m, cm, ft, inch$).Statement

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(A) Statement $(A)$ is correct: $A$ physical quantity can be measured in different units (e.g.,length can be measured in $m, cm, ft, inch$).Statement $(B)$ is correct: The dimensional formula of a physical quantity is unique,representing its fundamental nature.Statement $(C)$ is correct: Different physical quantities can share the same dimensions (e.g.,work and energy both have dimensions $[ML^2T^{-2}]$).Statement $(D)$ is correct: According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.Since all four statements are correct,the total number of correct statements is $4$.

$A$. $Pa \cdot s$	$(i)$. $[L^2 T^{-2} K^{-1}]$
$B$. $N \cdot m \cdot K^{-1}$	$(ii)$. $[MLT^{-3} K^{-1}]$
$C$. $J \cdot kg^{-1} \cdot K^{-1}$	$(iii)$. $[ML^{-1} T^{-1}]$
$D$. $W \cdot m^{-1} \cdot K^{-1}$	$(iv)$. $[ML^2 T^{-2} K^{-1}]$

$\text{LIST-I}$	$\text{LIST-II}$
$A$. Boltzmann constant	$I$. $ML^2 T^{-1}$
$B$. Coefficient of viscosity	$II$. $MLT^{-3} K^{-1}$
$C$. Planck's constant	$III$. $ML^2 T^{-2} K^{-1}$
$D$. Thermal conductivity	$IV$. $ML^{-1} T^{-1}$

Similar Questions

Identify the pair whose dimensions are equal.

Which of the following pairs of physical quantities does not have the same dimensional formula?

Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$

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