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Q.

Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the materials is :

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a

1.6×1015 Hz

b

5×1015 Hz

c

2.5×1015 Hz

d

4×1015 Hz

answer is C.

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Detailed Solution

For the transition, n=2 → n=1, energy of the photon released

E=13.6112-122=10.2 eV

Using photoelectricity equation,

φ0=E-eVs=10.2-3.57 eV=6.63 eV

⇒   hν0=6.63 eV

⇒   ν0=6.63×1.6×10-196.63×10-34=1.6×1015 Hz

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