In photoelectric effect, the stopping potential $ V_0 $ vs frequency $ \nu $ curve is plotted. $ h $ is the Planck's constant and $ \phi_0 $ is the work function of metal. (A) $ V_0 $ vs $ \nu $ is linear. (B) The slope of $ V_0 $ vs $ \nu $ curve is $ \frac{\phi_0}{h} $. (C) $ h $ constant is related to the slope of $ V_0 $ vs $ \nu $ line. (D) The value of electric charge of electron is not required to determine $ h $ using the $ V_0 $ vs $ \nu $ curve. (E) The work function can be estimated without knowing the value of $ h $. \text{Choose the correct answer from the options given below:}

Question

In photoelectric effect, the stopping potential $ V_0 $ vs frequency $ \nu $ curve is plotted. $ h $ is the Planck's constant and $ \phi_0 $ is the work function of metal.   (A) $ V_0 $ vs $ \nu $ is linear.  (B) The slope of $ V_0 $ vs $ \nu $ curve is $ \frac{\phi_0}{h} $.  (C) $ h $ constant is related to the slope of $ V_0 $ vs $ \nu $ line.  (D) The value of electric charge of electron is not required to determine $ h $ using the $ V_0 $ vs $ \nu $ curve.  (E) The work function can be estimated without knowing the value of $ h $. \text{Choose the correct answer from the options given below:}

cdquestions Admin · Accepted Answer

The photoelectric equation is given by: $$ V_0 = \frac{h\nu}{e} - \phi_0, $$ where: - $ V_0 $ is the stopping potential, - $ \nu $ is the frequency of incident light, - $ h $ is Planck's constant, - $ e $ is the charge of the electron, - $ \phi_0 $ is the work function. From this equation, we can see that $ V_0 $ is linear with respect to $ \nu $, with a slope of $ \frac{h}{e} $, and the intercept gives the value of $ \phi_0 $. - (A) is true because the relation between $ V_0 $ and $ \nu $ is linear. - (B) is also true because the slope of the line gives $ \frac{h}{e} $, and rearranging gives $ \frac{\phi_0}{h} $. - (C) is true because the slope of the $ V_0 $ vs $ \nu $ line is related to $ h $. - (D) is false because the value of the electric charge $ e $ is required to find $ h $ from the slope. - (E) is false because to determine the work function, knowing $ h $ is essential, and the value of $ h $ cannot be determined from the $ V_0 $ vs $ \nu $ curve alone without knowing $ e $. Final Answer: (3) (A), (B) and (C) only.

Answer

(C) and (D) only

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(D) and (E) only

Answer

(A), (B) and (C) only

Answer

(A), (C) and (E) only

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The Correct Option is C

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