The two lines A and B, shown in the graph of Fig. 20 . 18 , plot the de-Broglie wavelength λ as a function of 1 V V is the accelerating potential for two particles, having the same charge q . Which of the two represents particle of the heavier mass?

The de-Broglie wavelength of particle A of mass m A at a particular value of stopping potential V = V ' can be given as: λ A = h 2 m A q V ' Where h is the Planck's constant ⇒ λ A = h 2 m A q × 1 V ' . . . 1 The de-Broglie wavelength of particle B of mass m B at a particular value of stopping potential V = V ' can be given as: λ B = h 2 m B q V ' Where h is the Planck's constant ⇒ λ B = h 2 m B q × 1 V ' . . . 2 On comparing the equations 1 and 2 with the equation of straight line y = m x + c , we get that the slope of the line for particle A is h 2 m A q and the slope of the line for particle B is h 2 m B q . We know that the line making more angle with the positive side of x-axis will be the line having greater value of slope. Hence, from the given graph, it is clear that the slope of line B is more than that of line A . ∴ h 2 m B q > h 2 m A q ⇒ m A > m B Hence, particle A is heavier than particle B .

Name the phenomenon which illustrate the particle nature of light.

Photoelectric effect illustrates the particle nature of light. The photoelectric effect is the emission of electrons when electromagnetic radiation, such as light, hits a material. When electromagnetic radiation(light) strikes a suitable substance , it transfers its momentum to the electrons in the target and knock them out of the surface . As only particle can have mass ( and thus momentum), This proves that light is a particle.

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Gamma Question Bank for Medical Physics>Chapter 28 - Dual Nature of Radiation and Matter>Assigment>Q 15

EASY

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IMPORTANT

Earn 100

What is a photon? State its properties.

Important Questions on Dual Nature of Radiation and Matter

MEDIUM

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IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 28 - Dual Nature of Radiation and Matter>Assigment>Q 16

An electron and an alpha particle have same kinetic energy. How are the de Broglie wavelengths associated with them related?

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IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 28 - Dual Nature of Radiation and Matter>Assigment>Q 22

The two lines A and B, shown in the graph of Fig. $20.18$ , plot the de-Broglie wavelength $(λ)$ as a function of $\frac{1}{\sqrt{V}} (V is the accelerating potential)$ for two particles, having the same charge $q$ . Which of the two represents particle of the heavier mass?