Which of the following pairs of physical quantities possess the same dimension?
- AForce and surface tension
- BFrequency and velocity gradient
- CAngular speed and solid angle
- DStefan's constant and Planck's constant
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The mechanical equivalent of heat $J$ is
Easy
View SolutionSome physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$ List-$II$ $(1)$ Planck's constant $(i)$ $[ML^{-1} T^{-2}]$ $(2)$ Gravitational constant (ii) $[ML^{-1} T^{-1}]$ $(3)$ Bulk modulus (iii) $[ML^2 T^{-1}]$ $(4)$ Coefficient of viscosity (iv) $[M^{-1} L^3 T^{-2}]$
The correct answer is:
| List-$I$ | List-$II$ |
| $(1)$ Planck's constant | $(i)$ $[ML^{-1} T^{-2}]$ |
| $(2)$ Gravitational constant | (ii) $[ML^{-1} T^{-1}]$ |
| $(3)$ Bulk modulus | (iii) $[ML^2 T^{-1}]$ |
| $(4)$ Coefficient of viscosity | (iv) $[M^{-1} L^3 T^{-2}]$ |
The correct answer is:
In a new system,the unit of mass is $10 \ kg$,the unit of length is $5 \ m$,and the unit of time is $10 \ s$. Then,in this new system,$20 \ g/cm^3$ is equal to:
Medium
View SolutionState,for each of the following physical quantities,if it is a scalar or a vector: volume,mass,speed,acceleration,density,number of moles,velocity,angular frequency,displacement,angular velocity.
Easy
View SolutionIf $\epsilon_0$, $E$, and $t$ represent the free space permittivity, electric field, and time respectively, then the unit of $\frac{\epsilon_0 E}{t}$ will be:
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