Units and Measu...

The deBroglie wavelength associated with a particle of mass $$m$$ and energy $$E$$ is $$\dfrac{h}{\sqrt {2mE}}$$. The dimensional formula of Planck's constant h is

Let $$[\epsilon_0]$$ denote the dimensional formula of the permittivity of vacuum. If $$M=mass, L=length, T=time$$ and $$A=electric$$ current, then

Match List I with List II and select the correct answer using the codes given below the list

If g is the acceleration due to gravity and $$\lambda$$ is wavelength then which physical quantity does $$\sqrt {\lambda g}$$ represent?

The dimensions of $$\dfrac {1}{\epsilon_0}\dfrac {e^2}{hc}$$ are

If $$e$$ is the charge, $$V$$ the potential difference, $$T$$ the temperature, then the units of $$\dfrac {eV}{T}$$ are the same as that of

The length, breadth and thickness of a block are given by $$l = 12\  cm$$, $$b = 6\  cm$$ and $$t = 2.45 cm$$. The volume of the block according to the idea of significant figures should be :

If time $$T$$, acceleration $$A$$ and force $$F$$ are regarded as base units, then the dimensional formula of work is

Using mass $$(M)$$, length $$(L)$$, time $$(T)$$ and electric current $$(A)$$ as fundamental quantities the dimensions of permittivity will be

The dimensional formula of farad is