Figure shows the graph of stopping potential versus the frequency of a photosensitive metal. The plank's constant and work function of the metal are:

Question

Figure shows the graph of stopping potential versus the frequency of a photosensitive metal. The plank's constant and work function of the metal are: (A) (( V 2+ V 1/v2+v2)) e ,(( V 2 v1+ V 1 v2/v2+v1)) e (B) (( V 2+ V 1/v2-v1)) e ,(( V 2 v1+ V 1 v2/v2-v1)) e (C) (( V 2- V 1/v2+v1)) e ,(( V 2 v1- V 1 v2/v2+v1)) e (D) (( V 2- V 1/v2-v1)) e ,(( V 2 v1- V 1 v2/v2-v1)) e

Tardigrade Admin · Accepted Answer

Equation of straight line (V-V1/v-v1)=(V2-V1/v2-v1) ⇒ V=((V2-V1/v2-v1)) v-((V2 v1-V1 v2/v2-v1)) But V=((h/e)) v-(φ0/e) ⇒ h=((V2-V1/v2-v1)) e φ0=(( V 2 v1- V 1 v2/v2-v1)) e

Q. Figure shows the graph of stopping potential versus the frequency of a photosensitive metal. The plank's constant and work function of the metal are:

$(\frac{V _{2} + V _{1}}{v _{2} + v _{2}}) e, (\frac{V _{2} v _{1} + V _{1} v _{2}}{v _{2} + v _{1}}) e$

$(\frac{V _{2} + V _{1}}{v _{2} - v _{1}}) e, (\frac{V _{2} v _{1} + V _{1} v _{2}}{v _{2} - v _{1}}) e$

$(\frac{V _{2} - V _{1}}{v _{2} + v _{1}}) e, (\frac{V _{2} v _{1} - V _{1} v _{2}}{v _{2} + v _{1}}) e$

$(\frac{V _{2} - V _{1}}{v _{2} - v _{1}}) e, (\frac{V _{2} v _{1} - V _{1} v _{2}}{v _{2} - v _{1}}) e$

Q. Figure shows the graph of stopping potential versus the frequency of a photosensitive metal. The plank's constant and work function of the metal are:

(v2​+v2​V2​+V1​​)e,(v2​+v1​V2​v1​+V1​v2​​)e

(v2​−v1​V2​+V1​​)e,(v2​−v1​V2​v1​+V1​v2​​)e

(v2​+v1​V2​−V1​​)e,(v2​+v1​V2​v1​−V1​v2​​)e

(v2​−v1​V2​−V1​​)e,(v2​−v1​V2​v1​−V1​v2​​)e

Equation of straight line v−v1​V−V1​​=v2​−v1​V2​−V1​​ ⇒V=(v2​−v1​V2​−V1​​)v−(v2​−v1​V2​v1​−V1​v2​​) But V=(eh​)v−eϕ0​​ ⇒h=(v2​−v1​V2​−V1​​)e & ϕ0​=(v2​−v1​V2​v1​−V1​v2​​)e

$(\frac{V _{2} + V _{1}}{v _{2} + v _{2}}) e, (\frac{V _{2} v _{1} + V _{1} v _{2}}{v _{2} + v _{1}}) e$

$(\frac{V _{2} + V _{1}}{v _{2} - v _{1}}) e, (\frac{V _{2} v _{1} + V _{1} v _{2}}{v _{2} - v _{1}}) e$

$(\frac{V _{2} - V _{1}}{v _{2} + v _{1}}) e, (\frac{V _{2} v _{1} - V _{1} v _{2}}{v _{2} + v _{1}}) e$

$(\frac{V _{2} - V _{1}}{v _{2} - v _{1}}) e, (\frac{V _{2} v _{1} - V _{1} v _{2}}{v _{2} - v _{1}}) e$