The work functions of Silver and Sodium are 4.6 eV and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is _____. [2013]

Question

The work functions of Silver and Sodium are 4.6 eV and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is _____. [2013]

Smart Achievers · Accepted Answer

(1)

For photoelectric effect

$h ν - ϕ = e V_{0}$

$\Rightarrow \frac{h ν}{e} - \frac{ϕ_{0}}{e} = V_{0}$

The slope of $V_{0}$ versus $ν$ graph is a straight line with slope

$\tan θ = \frac{h}{e} = constant$

$∴$ The ratio of two slopes will be 1.

Solution

Q.
The work functions of Silver and Sodium are 4.6 eV and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is _____. [2013]

Ans.
(1)

For photoelectric effect

$h ν - ϕ = e V_{0}$

$\Rightarrow \frac{h ν}{e} - \frac{ϕ_{0}}{e} = V_{0}$

The slope of $V_{0}$ versus $ν$ graph is a straight line with slope

$\tan θ = \frac{h}{e} = constant$

$∴$ The ratio of two slopes will be 1.

Want Us to Email you About Special Offers & Updates?

Solution

Q. The work functions of Silver and Sodium are 4.6 eV and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is _____. [2013]

Ans. (1) For photoelectric effect hν-ϕ=eV0 ⇒hνe-ϕ0e=V0 The slope of V0 versus ν graph is a straight line with slope tanθ=he=constant ∴ The ratio of two slopes will be 1.

Want Us to Email you About Special Offers & Updates?

Q.
The work functions of Silver and Sodium are 4.6 eV and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is _____. [2013]

Ans.
(1)

For photoelectric effect

$h ν - ϕ = e V_{0}$

$\Rightarrow \frac{h ν}{e} - \frac{ϕ_{0}}{e} = V_{0}$

The slope of $V_{0}$ versus $ν$ graph is a straight line with slope

$\tan θ = \frac{h}{e} = constant$

$∴$ The ratio of two slopes will be 1.