dimensional formula

if the dimensional formula of X = MLT^-2 and of Y = MT^-1 ,so X/Y expresses ……

• acceleration

• speed

• density

all of the following are unit of work except……………

• joules

• N.m

• kg m² s^-2

• kg m s^-2

If the dimensional formula of A and B are M and $LT^{-1}$   ,Find the dimensional formula of C =   $\frac{3}{2}$  $BA^2$  

•  $M^2LT^{-1}$  

•  $ML^2T^{-2}$  

•  $MLT^{-1}$  

if the dimensional formula  X = $MLT^{-1}$   , K = $LT^{-2}$  and of Y = MT ,so the possible relation that can include these physical quantity is  ……

•  $X=\frac{Y}{K}$  

•  $Y=\frac{X}{K}$  

•  $Y\ =\ X\ K$  

the radius of helium atom is 0.0045 nm , then it is equivalent to ………

• 0.045× 10^-7 m

• 45× 10^-13 m

• 0.45× 10^-10 m

The dimensional formula of force is M ^X L ^YT ^-2Z , So X- Y + Z =….……..

• 1

• 0

• 2

3 mm is .......................... nm

• $3\times10^6$

• $3\times10^{-6}$

• $3\times10^{-3}$