Match List-I with List-II and choose the corr | vedclass

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

Question

(A) The dimensional formulas for the given constants are as follows:
$A$. Boltzmann constant $(k_B)$: Since $E = k_B T$, the dimension is $[ML^2T^{-2

Vedclass · Accepted Answer

$A-III, B-IV, C-II, D-I$

Vedclass · Answer

(A) The dimensional formulas for the given constants are as follows:
$A$. Boltzmann constant $(k_B)$: Since $E = k_B T$, the dimension is $[ML^2T^{-2}K^{-1}]$. This matches $III$.
$B$. Stefan's constant $(\sigma)$: Since $I = \sigma T^4$, where $I$ is intensity $(MT^{-3})$, the dimension is $[MT^{-3}K^{-4}]$. This matches $IV$.
$C$. Planck's constant $(h)$: Since $E = h
u$, the dimension is $[ML^2T^{-1}]$. This matches $II$.
$D$. Gravitational constant $(G)$: Since $F = G(m_1m_2)/r^2$, the dimension is $[M^{-1}L^3T^{-2}]$. This matches $I$.
Therefore, the correct matching is $A-III, B-IV, C-II, D-I$.

List-$I$	List-$II$
$A$. Boltzmann constant	$I$. $[M^{-1}L^3T^{-2}]$
$B$. Stefan's constant	$II$. $[ML^2T^{-1}]$
$C$. Planck's constant	$III$. $[ML^2T^{-2}K^{-1}]$
$D$. Gravitational constant	$IV$. $[ML^0T^{-3}K^{-4}]$

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $Nms^{-1}$
$(B)$ Stress	$(II)$ $Jkg^{-1}$
$(C)$ Latent Heat	$(III)$ $Nm$
$(D)$ Power	$(IV)$ $Nm^{-2}$

Similar Questions

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Torque $(I)$ $Nms^{-1}$

$(B)$ Stress $(II)$ $Jkg^{-1}$

$(C)$ Latent Heat $(III)$ $Nm$

$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

The pair$(s)$ of physical quantities that have the same dimensions,is (are)

$Erg \cdot m^{-1}$ can be the unit of measure for

Which of the following pairs of physical quantities possess the same dimension?

Vedclass Test Series

Exam Paper Generator

Online Exam Module