Answer
Verified
387.9k+ views
Hint: Define density and relative density. Relative density is the ratio of the density of the material to the density of the reference material. Obtain the relation of the relative density and the density of the material.
Complete step by step answer:
Density of a body or material can be defined as the ratio of the mass and the volume occupied by the body. The relative density of a material can be defined as the density of a material with respect to the density of a reference material. The SI unit of density is $kg{{m}^{-3}}$ while the relative density us a dimensionless quantity.
In the question, the relative density of silver is given as,
${{\rho }_{sr}}=10.8$
The relative density of the silver is given as the ratio of the density of the silver to the density of the water. So, we can write that,
$\text{relative density of silver = }\dfrac{\text{density of silver}}{\text{density of water}}$
Now, the density of the water is given as, ${{\rho }_{w}}=1\times {{10}^{3}}kg{{m}^{-3}}$
Now, putting the given values on the above equation, we get that,
$\begin{align}
& {{\rho }_{sr}}=\dfrac{{{\rho }_{s}}}{{{\rho }_{w}}} \\
& {{\rho }_{s}}={{\rho }_{sr}}\times {{\rho }_{w}} \\
& {{\rho }_{s}}=10.8\times 1\times {{10}^{3}}kg{{m}^{-3}} \\
& {{\rho }_{s}}=10.8\times {{10}^{3}}kg{{m}^{-3}} \\
\end{align}$
So, the density of the silver is $10.8\times {{10}^{3}}kg{{m}^{-3}}$.
So, the correct answer is “Option B”.
Note:
The reference material selected to find the relative density can be anything. For solid and liquid, to find the relative density the reference material is water. For gas, to find the relative density, the reference material is air.
Complete step by step answer:
Density of a body or material can be defined as the ratio of the mass and the volume occupied by the body. The relative density of a material can be defined as the density of a material with respect to the density of a reference material. The SI unit of density is $kg{{m}^{-3}}$ while the relative density us a dimensionless quantity.
In the question, the relative density of silver is given as,
${{\rho }_{sr}}=10.8$
The relative density of the silver is given as the ratio of the density of the silver to the density of the water. So, we can write that,
$\text{relative density of silver = }\dfrac{\text{density of silver}}{\text{density of water}}$
Now, the density of the water is given as, ${{\rho }_{w}}=1\times {{10}^{3}}kg{{m}^{-3}}$
Now, putting the given values on the above equation, we get that,
$\begin{align}
& {{\rho }_{sr}}=\dfrac{{{\rho }_{s}}}{{{\rho }_{w}}} \\
& {{\rho }_{s}}={{\rho }_{sr}}\times {{\rho }_{w}} \\
& {{\rho }_{s}}=10.8\times 1\times {{10}^{3}}kg{{m}^{-3}} \\
& {{\rho }_{s}}=10.8\times {{10}^{3}}kg{{m}^{-3}} \\
\end{align}$
So, the density of the silver is $10.8\times {{10}^{3}}kg{{m}^{-3}}$.
So, the correct answer is “Option B”.
Note:
The reference material selected to find the relative density can be anything. For solid and liquid, to find the relative density the reference material is water. For gas, to find the relative density, the reference material is air.
Recently Updated Pages
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE