Q 21 :

If force (F), velocity (V) and time (T) are considered as fundamental physical quantities, then dimensional formula of density will be:

• $F{V}^{-2}{T}^2$

   

• $F{V}^{-4}{T}^{-2}$

   

• $F{V}^4{T}^2$

   

• $F^2{V}^{-2}{T}^6$

   

Q 22 :

The electric resistance of medium depends upon permeability $\left(\mu \right)$ and permittivity $\left(\epsilon \right)$ as given below $R\propto {\left(\mu \right)}^a{\left(\epsilon \right)}^b$. If $a-b=N$. The value of N is ...........

Q 23 :

An expression of energy density is given by $u=\frac{\alpha }{\beta }\sin \left(\frac{\alpha x}{kt}\right)$. Where $\alpha ,\beta$ are constants, $x$ is displacement, $k$ is Boltzmann constant and $t$ is the absolute temperature. The dimensions of $\beta$ will be:

• $\left[M{L}^2{T}^{-2}{\theta }^{-1}\right]$

   

• $\left[M^0{L}^2{T}^{-2}\right]$

   

• $\left[M^0{L}^0{T}^0\right]$

   

• $\left[M^0{L}^2{T}^0\right]$

   

Q 24 :

If F is force, V is velocity, H is latent heat, and s is specific heat, then match the quantity given in Column I with the dimensions given in Column II.

	Column I		Column II
i.	F	a.	$L^2{T}^{-2}$
ii.	V	b.	$L^2{T}^{-2}{K}^{-1}$
iii.	H	c.	$ML{T}^{-2}$
iv.	S	d.	$L{T}^{-1}$

 

• i → c, ii → d, iii → a, iv → b

   

• i → a, ii → b, iii → c, iv → d

   

• i → d, ii → a, iii → b, iv → c

   

• i → c, ii → a, iii → b, iv → d

   

Q 25 :

Match list I with list II:

	List I		List II
a)	Torque	(i)	$ML{T}^{-1}$
b)	Impulse	(ii)	$M{T}^{-2}$
c)	Tension	(iii)	$M{L}^2{T}^{-2}$
d)	Surface tension	(iv)	$ML{T}^{-2}$

 

Choose the most appropriate answer from the options given below:

• a)-(iii), b)-(iv), c)-(i), d)-(ii)

   

• a)-(iii), b)-(i), c)-(iv), d)-(ii)

   

• a)-(i), b)-(iii), c)-(iv), d)-(ii)

   

• a)-(ii), b)-(i), c)-(iv), d)-(iii)