Units and Measu...

The physical quantity having the dimensions $$[{ M }^{ -1 }{ L }^{ -3 }{ T }^{ 3 }{ A }^{ 2 }]$$ is

Order of $$\frac { 1 } { 8 \times 10 ^ { 9 } }$$ is:

A boy wants to buy new shoes. To find out his correct shoe size the ________ of his feet should be measured.

The time of 25 oscillations of a simple pendulum is measured to be $$50.0 s$$ by a watch of least count $$0.1 s$$. The percentage error in time is

'The parallax angle in radians is: $$\theta = \left( 1 + \frac { 54 } { 60 } \right) \times \frac { \pi } { 180 } = 0.03316 \mathrm { rad }$$
  Hence, the distance between moon and earth: 

The length of a rod is (11.05 $$\pm$$ 0.2) cm. What is the length of the two rods?

If C is the capacity and V is the potential across the condenser, what will be the dimensional representation of  $$\dfrac1 2 C V ^ { 2 }$$?

The dimensions of electric potential are:

The dimensions of elelctrical permittivity are

The quantity $$X$$ is given by $${\varepsilon _o}L\frac{{\Delta V}}{{\Delta T}}$$, where $${\varepsilon _o}$$ is the permittivity of free space, $$L$$ is a length, $${\Delta V}$$ is a potential difference and $${\Delta T}$$ is a time interval. The dimensional formula for $$X$$ is the same as that of