The density of a material in $CGS$ system of units is $4 \, g \, cm^{-3}$. In a system of units in which the unit of length is $10 \, cm$ and the unit of mass is $100 \, g$,the value of the density of the material will be:

  • A
    $0.04$
  • B
    $0.4$
  • C
    $40$
  • D
    $400$

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Similar Questions

Which of the following does not have the same unit as the others?

$A$ cube has numerically equal volume and surface area. The volume of such a cube is ........... $units$.

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Angular Impulse $(I) [M^0 L^2 T^{-2}]$
$(B)$ Latent Heat $(II) [M L^2 T^{-3} A^{-1}]$
$(C)$ Electrical resistivity $(III) [M L^2 T^{-1}]$
$(D)$ Electromotive force $(IV) [M L^3 T^{-3} A^{-2}]$

Choose the correct answer from the options given below:

Match List-$I$ with List-$II$:
List-$I$List-$II$
$(A)$ Torque$(I)$ $ML^{-2}T^{-2}$
$(B)$ Stress$(II)$ $ML^2T^{-2}$
$(C)$ Pressure gradient$(III)$ $ML^{-1}T^{-1}$
$(D)$ Coefficient of viscosity$(IV)$ $ML^{-1}T^{-2}$

Choose the correct answer from the options given below:

Names 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)$. $[ML^2 T^{-2} K^{-1}]$

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