Units for constants in Column-I and SI unit i | vedclass

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

Question

(D) $1$. Wien's displacement law states that $\lambda_{max} T = b$,where $b$ is Wien's constant. The unit of wavelength $\lambda$ is $m$ and temperatu

Vedclass · Accepted Answer

$(a-iii), (b-i)$

Vedclass · Answer

(D) $1$. Wien's displacement law states that $\lambda_{max} T = b$,where $b$ is Wien's constant. The unit of wavelength $\lambda$ is $m$ and temperature $T$ is $K$. Thus,the unit of Wien's constant is $m K$,which corresponds to $(iii)$.$2$. Stefan-Boltzmann's law states that the power radiated per unit area is $P/A = \sigma T^4$,where $\sigma$ is the Stefan-Boltzmann constant. The unit of power is $W$ (Watt),area is $m^2$,and temperature is $K$. Thus,the unit of $\sigma$ is $W m^{-2} K^{-4}$,which corresponds to $(i)$.$3$. Therefore,the correct matching is $(a-iii), (b-i)$.

Column-$I$	Column-$II$
$(a)$ Wien's constant	$(i)$ $W m^{-2} K^{-4}$
$(b)$ Stefan-Boltzmann's constant	$(ii)$ $W m^{-1} K^{4}$
	$(iii)$ $m K$

$A$. Unified interaction reducing the number of fundamental forces from four to three	$(i)$ Strong interaction
$B$. Force between two molecules separated by a distance near about the sum of the molecular radii	$(ii)$ Gravitational force
$C$. Nuclear binding force	$(iii)$ Electroweak interaction
$D$. Bodies of astronomical proportions	$(iv)$ Electromagnetic interaction

Units for constants in Column-$I$ and $SI$ unit is given in Column-$II$. Match the followings:

Column-$I$ Column-$II$

$(a)$ Wien's constant $(i)$ $W m^{-2} K^{-4}$

$(b)$ Stefan-Boltzmann's constant $(ii)$ $W m^{-1} K^{4}$

$(iii)$ $m K$

Similar Questions

The maximum percentage errors in the measurement of mass $(M)$,radius $(R)$,and angular velocity $(\omega)$ of a ring are $2 \%$,$1 \%$,and $1 \%$ respectively. Find the maximum percentage error in the measurement of its rotational kinetic energy $(K = \frac{1}{2} I \omega^{2})$. (in $\%$)

Which physical quantities have the same dimension?

Identify the pair of physical quantities which have different dimensions.

Fill in the blanks by suitable conversion of units:
$(a)$ $1\; kg\; m^{2}\; s^{-2} = \ldots\; g\; cm^{2}\; s^{-2}$
$(b)$ $1\; m = \ldots\; ly$
$(c)$ $3.0\; m\; s^{-2} = \ldots\; km\; h^{-2}$
$(d)$ $G = 6.67 \times 10^{-11}\; N\; m^{2}\; kg^{-2} = \ldots\; cm^{3}\; s^{-2}\; g^{-1}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Units for constants in Column-$I$ and $SI$ unit is given in Column-$II$. Match the followings: Column-$I$ Column-$II$ $(a)$ Wien's constant $(i)$ $W m^{-2} K^{-4}$ $(b)$ Stefan-Boltzmann's constant $(ii)$ $W m^{-1} K^{4}$ $(iii)$ $m K$