Jee Main 2024 31 01 2024 Shift 1 - Question15

Question 15

When light of wavelength $\lambda$ is incident on a metal, the stopping potential is $8 V$. If the wavelength is made $3 \lambda$ the stopping potential becomes $2 V$. Find the threshold wavelength for the photoelectric effect.

(1) $2.6 \times 10^{-6} m$

(2) $2.8 \times 10^{-7} m$

(3) $1.24 \times 10^{-6} m$

(4) $1.24 \times 10^{-7} m$

Show Answer

Answer: (3)

Solution:

$(8 e)=\frac{h c}{\lambda}-\phi _0$

(2e) $\frac{h c}{3 \lambda}-\phi _0$

$\phi _0=1 eV$

$\therefore \quad \lambda _{\text {th }}=12400 \mathring{A}$

$\lambda _{\text {th }}=1.24 \times 10^{-6} m$



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