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In photoelectric effect, the stopping potential (V₀) v/s frequency ( u) curve is plotted. (h is the Planck's constant and φ₀ is work function of metal) (A) V₀ v/s u is linear. (B) The slope of V₀ v/s u curve =(φ₀)/h. (C) h constant is related to the slope of V₀ v/s u line. (D) The value of electric charge of electron is not required to determine h using the V₀ v/s u curve. (E) The work function can be estimated without knowing the value of h. Choose the correct answer from the options given below.

Asked in JEE Main 24th Jan 2nd Shift 2025 · Stopping potential and kinetic energy graphs

Answer: (3) (A), (C) and (E) only

Step-by-step solution

Write the relation as V₀=h/e u-(φ₀)/e.

(A) The relation is of the form y=mx+c, so the plot is a straight line. True.

(B) The slope is h/e, not φ₀/h. False.

(C) The slope does carry h, since h=e×slope. True.

(D) That same expression needs e, so the charge is required. False.

(E) The intercept on the V₀ axis is -φ₀/e, so φ₀=e×|intercept| with no h anywhere. True.

Correct set: (A), (C) and (E).

Why the other options are wrong

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