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Dual Nature of Radiation and Matter · Question 23

JEE Main 2025 (Online) 29th January Morning ShiftMCQEasy📈 Topic in 35% papers+4−1
1

If and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass, the correct graphical representation for the particle will be :

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]

Answer

(4) [figure]

Solution

de Broglie wavelength: = hp = h 2mK

2 = h22mK

1K = 2mh2 2

m is constant, 1K 2: a parabola through the origin, opening upward (slope increasing with ).

the correct graph is option (4).

Answer: (4)

JEE Main 2025 (Online) 29th January Morning Shift

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2

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the most appropriate answer from the options given below :

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
  3. (A) is false but (R) is true
  4. (A) is true but (R) is false
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3

A proton of mass 'mp' has same energy 'E' as that of a photon of wavelength ' '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is

  1. 1c Emp
  2. 1c 2Emp
  3. 12c Emp
  4. 1c E2mp
JEE Main 2025 (Online) 28th January Morning Shift
4

Which of the following phenomena cannot be explained by wave theory of light?

  1. Refraction of light
  2. Reflection of light
  3. Diffraction of light
  4. Compton effect
JEE Main 2025 (Online) 28th January Evening Shift

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