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 $(ii)$ $W m^{-1} K^{4}$ $(iii)$ $m K$
| 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$(a-i), (b-ii)$
- B$(a-i), (b-iii)$
- C$(a-ii), (b-i)$
- D$(a-iii), (b-i)$
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Similar Questions
State whether the following statements are true or false:
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.
Medium
View SolutionThe two principal thrusts in physics are
Match the physical quantities given in List-$I$ with their dimensions in List-$II$.
List-$I$ List-$II$ $A$. Gravitational potential $I$. $M^0 L^2 T^{-2} K^{-1}$ $B$. Stefan's constant $II$. $M^0 L^2 T^{-2}$ $C$. Permittivity $III$. $M L^0 T^{-3} K^{-4}$ $D$. Specific heat capacity $IV$. $M^{-1} L^{-3} T^4 I^2$
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
| List-$I$ | List-$II$ |
| $A$. Gravitational potential | $I$. $M^0 L^2 T^{-2} K^{-1}$ |
| $B$. Stefan's constant | $II$. $M^0 L^2 T^{-2}$ |
| $C$. Permittivity | $III$. $M L^0 T^{-3} K^{-4}$ |
| $D$. Specific heat capacity | $IV$. $M^{-1} L^{-3} T^4 I^2$ |
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
Write the unit and dimensional formula of the ratio of the gravitational constant $(G)$ to the acceleration due to gravity $(g)$.
Medium
View SolutionNames of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultAP EAMCET 2005
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