Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2019

PhysicsEasysingle choice

The density of a material in $S I$ units is $128 k g m^{- 3} .$ In certain units in which the unit of length is $25 c m$ and the unit of mass is $50 g,$ the numerical value of density of the material is:

Options:

Answer:

Solution:

$ρ = \frac{M}{L^{3}}$

$n_{1} u_{1} = n_{2} u_{2}$

$∴ 128 [M_{1} L_{1}^{- 3}] = n_{2} [M_{2} L_{2}^{- 3}]$

$∴ n_{2} = 128 \times [\frac{M_{1}}{M_{2}}] {[\frac{L_{2}}{L_{1}}]}^{3}$

$= 128 \times [\frac{1000}{50}] \times {[\frac{25}{100}]}^{3}$

$= 128 \times 20 \times \frac{1}{64}$

$= 40$

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2019

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