Consider a thin target (10–2m square, 10–3m thickness) of sodium, which produces a photocurrent of 100μA when a light of intensity 100W/m2(λ = 660nm) falls on it. Find the probability that a photoelectron is produced when a photons strikes a sodium atom. [Take density of Na = 0.97 kg/m3]

Explanation- A= 10-4m2So d= 10-3 and i= 100-4AI= 100W/m2?=600nm=600×10-9?Na=0.97kg/m3volume=A×d 10-4(10-3)=10-7m3for23kgofsoidumSo volume Na atoms=23/0.97m3Volume occupied by one Na atom= 230.97×6×1026=3.95×10-26m3Number of Na atoms in target 10-73.95×10-26=2.53×1018So energy falling per sec= nhc?=IASo n= IA?hc = 100×10-4×660×10-96.62×10-34×3×108=3.3×1016N=P ×n×Na=P×3.3×1016×2.53×1018I = 100 ×10-6=10-4 AI=Ne= P×3.3×1016×2.53×1018 ( 10-4 A)P= 7.48 ×10-21 it is less than 1.

Ask & Answer Question

Consider a thin target (10^–2m square, 10^–3m thickness) of sodium, which produces a photocurrent of 100μA when a light of intensity 100W/m²(λ = 660nm) falls on it. Find the probability that a photoelectron is produced when a photons strikes a sodium atom. [Take density of Na = 0.97 kg/m³]

5 Views | Posted 3 months ago

Asked by Shiksha User

1 Answer

Answered by

Pallavi Pathak | Contributor-Level 10

3 months ago

Explanation- A= 10^-4m²

So d= 10^-3 and i= 100^-4A

I= 100W/m²

$? = 600 n m = 600 * 10^{- 9}$

$?_{N a} = 0.97 k g / m^{3}$

$v o l u m e = A * d$ 10^-4(10^-3)=10^-7m³

$f o r 23 k g o f s o i d u m$

So volume Na atoms=23/0.97m³

Volume occupied by one Na atom= $\frac{23}{0.97 * 6 * 10^{26}} = 3.95 * 10^{- 26} m^{3}$

Number of Na atoms in target $\frac{10^{- 7}}{3.95 * 10^{- 26}} = 2.53 * 10^{18}$

So energy falling per sec= $\frac{n h c}{?} = I A$

So n= $\frac{I A ?}{h c}$ = $\frac{100 * 10^{- 4} * 660 * 10^{- 9}}{6.62 * 10^{- 34} * 3 * 10^{8}} = 3.3 * 10^{16}$

N=P $* n * N a = P * 3.3 * 10^{16} * 2.53 * 10^{18}$

I = 100 $* 10^{- 6} = 10^{- 4}$ A

I=Ne= $P * 3.3 * 10^{16} * 2.53 * 10^{18}$ ( $10^{- 4}$ A)

P= 7.48 $* 10^{- 21}$ it is less than 1.

0 Upvotes 0 Downvotes

Get authentic answers from experts, students and alumni that you won't find anywhere else

On Shiksha, get access to

65k Colleges
1.2k Exams
688k Reviews
1800k Answers

Community GuidelinesUser Points System

QuestionsDiscussionsTags

Consider a thin target (10^–2m square, 10^–3m thickness) of sodium, which produces a photocurrent of 100μA when a light of intensity 100W/m²(λ = 660nm) falls on it. Find the probability that a photoelectron is produced when a photons strikes a sodium atom. [Take density of Na = 0.97 kg/m³]

1 Answer

Learn more about...

Most viewed information

Most viewed information

Share Your College Life Experience

Didn't find the answer you were looking for?

Need guidance on career and education? Ask our experts

Your Question