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A light source of frequency 6 × 10^15 Hz is subjected to a metal sheet having work function equal to 22.6 eV . Then , the velocity of photo-electrons emitted having maximum kinetic energy will be. 1) 4.43 * 10^5 m/s 2) 3.21 * 10^7 m/s 3) 8.89 * 10^5 m/s 4) 8.73 * 10^6 m/s

A light source of frequency 6 × 10^15 Hz is subjected to a metal sheet having work function equal to 22.6 eV . Then , the velocity of photo-electrons emitted having maximum kinetic energy will be.
 
1) 4.43 * 10^5 m/s
2) 3.21 * 10^7 m/s
3) 8.89 * 10^5 m/s
4) 8.73 * 10^6 m/s

Grade:11

1 Answers

Paarth Chhabra
26 Points
5 years ago
hv= 6.626×6x10-¹²x10-⁴x10-³
= 39.756x10^-19 
~ 39.76 x 10^-19
 
hv°= 22.6×1.6x10^-19
= 36.16x 10^-19
 
hv=hv°+1/2mv²
1/2mv²= hv-hv° = 3.6 x10^-19
9.1x10^-31 x v² = 7.2 x 10^-19
v² = (7.2/9.1)x 10¹²
v = 0.889 x 10^6 = 8.89 x 10^5
 
Hence 3)

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