Different physical quantities are given in Co | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) $1$. Viscous force $(F)$ is a type of force, and the dimensional formula for force is $[M^1 L^1 T^{-2}]$. Thus, $(a)$ matches with $(i)$.$2$. Acco

Vedclass · Accepted Answer

$(a-i), (b-ii)$

Vedclass · Answer

(B) $1$. Viscous force $(F)$ is a type of force, and the dimensional formula for force is $[M^1 L^1 T^{-2}]$. Thus, $(a)$ matches with $(i)$.$2$. According to Newton's law of viscosity, $F = \eta A \frac{dv}{dx}$, where $\eta$ is the coefficient of viscosity, $A$ is the area, and $\frac{dv}{dx}$ is the velocity gradient.$3$. Rearranging for $\eta$: $\eta = \frac{F}{A (dv/dx)}$.$4$. Substituting dimensions: $[\eta] = \frac{[M^1 L^1 T^{-2}]}{[L^2] [T^{-1}]} = [M^1 L^{-1} T^{-1}]$. Thus, $(b)$ matches with $(ii)$.

Column-$I$	Column-$II$
$(a)$ Viscous force	$(i)$ $[M^1 L^1 T^{-2}]$
$(b)$ Coefficient of viscosity	$(ii)$ $[M^1 L^{-1} T^{-1}]$
	$(iii)$ $[M^1 L^{-1} T^{-2}]$

List-$I$	List-$II$
$(a)$ $h$ (Planck's constant)	$(i)$ $[M L T^{-1}]$
$(b)$ $E$ (kinetic energy)	$(ii)$ $[M L^2 T^{-1}]$
$(c)$ $V$ (electric potential)	$(iii)$ $[M L^2 T^{-2}]$
$(d)$ $P$ (linear momentum)	$(iv)$ $[M L^2 I^{-1} T^{-3}]$

Different physical quantities are given in Column-$I$ and their dimensional formulas are given in Column-$II$. Match them appropriately.

Column-$I$ Column-$II$

$(a)$ Viscous force $(i)$ $[M^1 L^1 T^{-2}]$

$(b)$ Coefficient of viscosity $(ii)$ $[M^1 L^{-1} T^{-1}]$

$(iii)$ $[M^1 L^{-1} T^{-2}]$

Similar Questions

The dimensions of the interatomic force constant are

If $L$ and $R$ are respectively the inductance and resistance,then the dimensions of $\frac{L}{R}$ will be

The dimensional formula of $\frac{B^2}{2\mu_0}$ is . . . . . . .

If mass $(M)$,length $(L)$,time $(T)$,and electric current $(A)$ are taken as fundamental quantities,then the dimensional formula of permittivity $(\epsilon_0)$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Different physical quantities are given in Column-$I$ and their dimensional formulas are given in Column-$II$. Match them appropriately. Column-$I$ Column-$II$ $(a)$ Viscous force $(i)$ $[M^1 L^1 T^{-2}]$ $(b)$ Coefficient of viscosity $(ii)$ $[M^1 L^{-1} T^{-1}]$ $(iii)$ $[M^1 L^{-1} T^{-2}]$