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PhysicsMediumMCQ2023 · 11 Apr Shift 1

Q18.Two radioactive elements 𝐴 and 𝐵 initially have same number of atoms. The half life of 𝐴 is same as the average life of 𝐵. If 𝜆𝐴 and 𝜆𝐵 are decay constants of 𝐴 and 𝐵 respectively, then choose the correct relation from the given options. (1) 𝜆𝐴ln2 = 𝜆𝐵 (2) 𝜆𝐴= 𝜆𝐵 (3) 𝜆𝐴= 𝜆𝐵ln2 (4) 𝜆𝐴= 2𝜆𝐵

What This Question Tests

This question requires solving simultaneous equations derived from Einstein's photoelectric equation for two different wavelengths and stopping potentials to find the threshold wavelength.

Concepts Tested

Einstein's photoelectric equationStopping potentialThreshold wavelength

Formulas Used

eV₀ = hc/λ - φ₀

φ₀ = hc/λ_th

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