Question 1 :
The dimensions of quantity $ \dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$ are:$ [\mu_0= $ permeability of free space, $ \displaystyle E^1= $ electric field strength, $ \displaystyle B^1=$ magnetic  field  induction $] $ 
Question 4 :
The physical quantity which has the dimensional formula ${ M }^{ 1 }{ T }^{ -3 }$ is:
Question 5 :
Velocity '$V$'  of a wave is directly proportional to modulus of elasticity '$E$' and density '$d$' of a medium. The expression of '$V$' using dimensional analysis is:
Question 6 :
N divisions on the main scale of vernier callipers coincide with (N+1) divisions on the vernier scale. If each divisions on the main scale of a units, determine the least count of instrument.<br>
Question 7 :
When a current of $(2.5 0\pm 0.5)A$ flows through a wire, it develops a potential difference of $(20\pm 1)V$. The resistance of the wire is :
Question 10 :
If force $F$, acceleration $A$ and time $T$ are taken as fundamental quantities then the dimensions of energy are :
Question 11 :
The physical quantity having the dimensions $\displaystyle \left[ { M }^{ -1 }{ L }^{ -3 }{ T }^{ 3 }{ A }^{ 2 } \right] $ is :
Question 13 :
Which of the following pair of quantities do not have the same dimensions?
Question 14 :
The distance traveled by a body in time $'t'$ is given by $x=a+bt+{ ct }^{ 2 }$ where $x$ is distance, $t$ is time $a, b$ and $c$ are constants. The dimensional formula for $a, b$ and $c$ respectively are :
Question 15 :
Which of the following is used to measure the volume of a liquid or an irregular shaped object?
Question 18 :
If $y$ represents the pressure and $x$ represents the position then dimensional expression of $\int { \dfrac { dx }{ \sqrt { p^{ 2 }- y^2}  }  } $
Question 20 :
On dividing dimension of gravitational constant by the dimension of surface tension we get
