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Q.150 Physics ⭐ 360° Option Elimination Active
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NEET 2020 Physics Question 150 Solution

Topic: Electromagnetic Waves · Official NTA Booklet Code E1
NEET 2020 Physics Question 150: Radiation Energy Calculation: Energy = Flux × Area × Time

Question

Light with an average flux of 20 W/cm² falls on a non-reflecting surface at normal incidence having surface area 20 cm². The energy received by the surface during time span of 1 minute is:

✓
Verified Against NTA Final Answer Key
Option (3) : 24×103 J
📚 Electromagnetic Waves Easy
📋 Given Parameters & Problem Setup
Average Radiant Flux / Intensity (S) 20 W/cm^2
Surface Area (A) 20 cm^2
Time Span (t) 1 minute = 60 seconds
Surface Property Non-reflecting (completely absorbing)
⚡

The 30-Second Exam Hall Shortcut: ⚡ "Energy = Flux × Area × Time = (20 W/cm^2) × (20 cm^2) × 60 s = 400 × 60 = 24,000 J = 24 × 10^3 J!"

⏱️ 15 seconds

Radiant energy incident on a surface is given by U=Flux×Area×TimeU = \text{Flux} \times \text{Area} \times \text{Time}. The power incident is P=20 W/cm2×20 cm2=400 WP = 20\text{ W/cm}^2 \times 20\text{ cm}^2 = 400\text{ W}. In 1 minute (60 seconds60\text{ seconds}), total energy received is U=400 W×60 s=24,000 J=24×103 JU = 400\text{ W} \times 60\text{ s} = 24,000\text{ J} = 24 \times 10^3\text{ J}. Mark Option (3) in 5 seconds!

1 Total incident power: P = Flux × Area = 20 W/cm^2 × 20 cm^2 = 400 W (Joules/sec).
2 Convert time to seconds: t = 1 min = 60 s.
3 Total energy: U = P × t = 400 W × 60 s = 24000 J.
4 Express in scientific notation: 24 × 10^3 J.
5 Select Option (3).
🛡️
Why You Can 100% Trust This Shortcut: NCERT Physics · Electromagnetic Waves (Energy Transport and Momentum of EM Waves)
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Define Radiant Flux / Intensity

The radiant flux (or intensity II) of an electromagnetic wave is defined as the radiant energy falling per unit area per unit time perpendicular to the beam: I=UA⋅t=PAI = \frac{U}{A \cdot t} = \frac{P}{A} where UU is total energy, AA is surface area, and tt is time duration.

Step 2

Calculate Incident Power

Given: - Flux I=20 W cm−2I = 20\text{ W cm}^{-2} - Area A=20 cm2A = 20\text{ cm}^2 P=I⋅A=(20 W cm−2)×(20 cm2)=400 W=400 J s−1P = I \cdot A = (20\text{ W cm}^{-2}) \times (20\text{ cm}^2) = 400\text{ W} = 400\text{ J s}^{-1} (Notice that the units of cm2\text{cm}^2 cancel immediately, avoiding tedious conversion to m2\text{m}^2).

Step 3

Convert Time to Seconds and Calculate Energy

Given time span t=1 minute=60 secondst = 1\text{ minute} = 60\text{ seconds}. U=P⋅t=(400 J s−1)×(60 s)=24000 J=24×103 JU = P \cdot t = (400\text{ J s}^{-1}) \times (60\text{ s}) = 24000\text{ J} = 24 \times 10^3\text{ J} This confirms Option (3).

⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 A
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; arithmetic error.

⚠️
Student Fallacy (Why candidates pick this trap): Dividing by 2.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; corresponds to taking area as 10 cm^2 or multiplying by 30 seconds.

⚠️
Student Fallacy (Why candidates pick this trap): Using 30 seconds instead of 60 seconds.
3 C
✓ 100% Correct
Verdict & Scientific Reason:

Factually and mathematically exact; U=20×20×60=24000 J=24×103 JU = 20 \times 20 \times 60 = 24000\text{ J} = 24 \times 10^3\text{ J}.

💡
Why this is airtight: None; clean energy calculation.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; double the correct energy, possibly confusing non-reflecting surface with reflecting surface momentum transfer (2U/c2U/c).

⚠️
Student Fallacy (Why candidates pick this trap): Multiplying by 2 as if calculating reflecting momentum.
⚠️

NTA Trap Alert: Minute to Seconds Conversion

Power is in Watts (Joules per second). You must multiply by 60 seconds, NOT by 1! 400×60=24000 J400 \times 60 = 24000\text{ J}.

🛡️ How to avoid the -1 mark: Remember: 1 minute = 60 seconds in SI units!
📖

Core NEET Syllabus Standard

Physics · Electromagnetic Waves Standard Benchmark
Core Scientific Principle Tested:

""

Syllabus Focus: Radiation Energy Calculation: Energy = Flux × Area × Time
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗

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