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AAI ATC Physics — Dual Nature of Matter and Radiation Important Notes by mycollegeverse
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1. What is Dual Nature?

It means matter and radiation both show wave and particle nature under different conditions.

GenZ Example

Light can be a wave (like rainbow) or particle (like laser beam hitting electrons).


2. Important AAI ATC Focused Concepts

3. Photoelectric Effect

When light of suitable frequency falls on a metal surface, it emits electrons.

\( h\nu = W + K.E. \)

Where:

  • h: Planck’s constant (6.63 × 10⁻³⁴ J·s)
  • ν: frequency
  • W: work function (minimum energy to eject electron)
  • K.E.: max kinetic energy of emitted electron

PYQ Type: Formula MCQ

4. Cut-off Frequency (ν₀)

Minimum frequency needed to eject an electron.

\( h\nu_0 = W \)

PYQ Type: Concept MCQ

5. de Broglie Wavelength

For matter waves associated with moving particles.

\( \lambda = \frac{h}{p} = \frac{h}{mv} \)

PYQ Type: Numerical formula MCQ

6. Key Properties

Characteristics of light behavior.

  • Light behaves as wave in diffraction/interference
  • Light behaves as particles (photons) in photoelectric effect

PYQ Type: Concept theory MCQ

7. AAI ATC PYQ Analysis (2021–2023)

Year Question Asked

2021 Shift 2: Unit of Planck’s constant (J·s)

2022 Shift 3: de Broglie formula MCQ

2023 Feb Shift 1: Photoelectric equation conceptual MCQ

8. Dual Nature Formula Quick Revision

Concept Formula
Photoelectric \( h\nu = W + K.E. \)
Cutoff frequency \( \nu_0 = \frac{W}{h} \)
de Broglie wavelength \( \lambda = \frac{h}{p} \)
Momentum \( p = mv \)

9. Quick Concept Recap

Concept GenZ Example
Light knocks electrons out UV light triggering sensors
de Broglie waves for electrons Like wave-particle dual personality
Cut-off frequency No photoelectric effect if light’s too low frequency

10. Final AAI ATC Takeaway

Focus Areas:

  • 1 MCQ nearly every shift
  • de Broglie wavelength formula
  • Einstein’s photoelectric equation
  • Unit of Planck’s constant
  • Conceptual nature MCQs

11. 10-Question AAI ATC-Style MCQ Mock Test — Dual Nature

Q1. SI unit of Planck’s constant is:
a) J·s
b) Wb
c) Tm/A
d) A·m
Ans: a

Q2. Photoelectric equation is:
a) \( h\nu = W + K.E. \)
b) \( E = mc^2 \)
c) \( V = IR \)
d) \( q = mc\Delta T \)
Ans: a

Q3. de Broglie wavelength formula is:
a) \( \lambda = \frac{h}{p} \)
b) \( p = \frac{h}{\lambda} \)
c) \( E = h\nu \)
d) None
Ans: a

Q4. If frequency is below cut-off frequency:
a) No photoelectric emission
b) Emission doubles
c) Photon energy increases
d) None
Ans: a

Q5. SI unit of de Broglie wavelength is:
a) Tesla
b) Meter
c) Joule
d) Henry
Ans: b

Q6. de Broglie concept applies to:
a) Only light
b) Only electron
c) All moving particles
d) None
Ans: c

Q7. Which shows wave-particle duality?
a) Light only
b) Matter only
c) Both light and matter
d) None
Ans: c

Q8. Maximum kinetic energy in photoelectric effect depends on:
a) Intensity
b) Frequency
c) Surface area
d) All
Ans: b

Q9. Cut-off frequency is:
a) Minimum frequency to emit photoelectrons
b) Maximum allowed frequency
c) Average frequency
d) None
Ans: a

Q10. When frequency increases in photoelectric effect:
a) K.E. increases
b) Number of electrons increases
c) Both increase
d) Neither
Ans: a