The dimension of stopping potential mathrm{V} | vedclass

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

Question

$\mathrm{v}_{0}=\mathrm{h}^{\mathrm{x}} \mathrm{c}^{\mathrm{y}} \mathrm{G}^{\mathrm{z}} \mathrm{A}^{\mathrm{w}}$
$\frac{\mathrm{ML}^{2} \mathrm{T}^{-

Vedclass · Accepted Answer

$\mathrm{h}^{0} \mathrm{c}^{5} \mathrm{G}^{-1} \mathrm{A}^{-1}$

Vedclass · Answer

$\mathrm{v}_{0}=\mathrm{h}^{\mathrm{x}} \mathrm{c}^{\mathrm{y}} \mathrm{G}^{\mathrm{z}} \mathrm{A}^{\mathrm{w}}$
$\frac{\mathrm{ML}^{2} \mathrm{T}^{-2}}{\mathrm{AT}}=\left(\mathrm{ML}^{2} \mathrm{T}^{-1}ight)^{\mathrm{x}}\left(\mathrm{LT}^{-1}ight)^{\mathrm{y}}\left(\mathrm{M}^{-1} \mathrm{L}^{3} \mathrm{T}^{-2}ight)^{\mathrm{z}} \mathrm{A}^{\mathrm{w}}$
$\Rightarrow \mathrm{w}=-1$
$(\mathrm{x}-\mathrm{z}=1)$
$(\mathrm{x}-\mathrm{z}=1)$
$-\mathrm{x}-\mathrm{x}=1-2 \mathrm{z}=2$
$-\mathrm{x}-\mathrm{y}-2 \mathrm{z}=-3$
$\mathrm{x}-\frac{1}{2} \mathrm{x}=0$
$\mathrm{x}=0$
$\mathrm{x}=-1$
$2 	imes 0+\mathrm{y}+3 \mathrm{x}-1=2$
$y=5$
$\Rightarrow \mathrm{v}_{0}=\mathrm{h}^{0} \mathrm{c}^{5} \mathrm{G}^{-1} \mathrm{A}^{-1}$

List $I$	List $II$
$A$ Torque	$I$ ${\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-2}\right]}$
$B$ Magnetic fileld	$II$ $\left[\mathrm{L}^2 \mathrm{~A}^1\right]$
$C$ Magnetic moment	$III$ ${\left[\mathrm{M}^1 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]}$
$D$ Permeability of free space	$IV$ $\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$

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

The dimension of stopping potential $\mathrm{V}_{0}$ in photoelectric effect in units of Planck's constant $h$, speed of light $c$, Gravitational constant $G$ and ampere $A$ is

Similar Questions

Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ and $\beta$ are

Given that $\int {{e^{ax}}\left. {dx} \right|} = {a^m}{e^{ax}} + C$, then which statement is incorrect (Dimension of $x = L^1$) ?

If time $(t)$, velocity $(u)$, and angular momentum $(I)$ are taken as the fundamental units. Then the dimension of mass $({m})$ in terms of ${t}, {u}$ and ${I}$ is