Density of a material in CGS system of units is 4, g, cm^{-3} . In a system of units in w

English

Gujarati

Hindi

1.Units, Dimensions and Measurement

medium

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

A$0.04$

B$0.4$

C$40$

D$400$

(AIPMT-2011)

Solution

As, ${n_1}{u_1} = {n_2}{u_2}$
$4\frac{g}{{c{m^3}}} = {n_2}\frac{{100g}}{{{{\left( {10\,cm} \right)}^3}}} \Rightarrow {n_2} = 40$

Standard 11

Physics

Share

Similar Questions

If the acceleration due to gravity is $10\,m{s^{ – 2}}$ and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is

medium

If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.

medium

If force $(F)$, velocity $(V)$ and time $(T)$ are considered as fundamental physical quantity, then dimensional formula of density will be:

medium

(JEE MAIN-2023)

If momentum $[ P ]$, area $[ A ]$ and time $[ T ]$ are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :

medium

(JEE MAIN-2022)

Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of $L$, which of the following statement ($s$) is/are correct ?

$(1)$ The dimension of force is $L ^{-3}$

$(2)$ The dimension of energy is $L ^{-2}$

$(3)$ The dimension of power is $L ^{-5}$

$(4)$ The dimension of linear momentum is $L ^{-1}$

easy

(IIT-2019)