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Chapter 6: Q44E (page 335)

Question:Which of the following equations describe particle-like behavior? Which describe wavelike behavior? Do any

involve both types of behavior? Describe the reasons for your choices.

(a)c=位谓

(b)E=尘谓2

2

(c)r=n2a0

Z

(d)E = h谓

(e)位=h

尘谓

Short Answer

Expert verified
  1. wave-like properties
  2. particle- like properties
  3. wave as well as particle like properties
  4. wave-like properties.
  5. particle- like properties

Step by step solution

01

determining the behavior of equation given in part (a).

Since, 位 in the given equation is wavelength and it is a characteristic property of waves. C = 位 v show the wave-like properties.

02

determining the behavior of equation given in part (b).

Waves are generally defined by radiations and particles defined by mass. In the given equation, m = mass. Hence, the equation displays particle- like properties.

03

determining the behavior of equation given in part (c).

The equation displays wave as well as particle like properties. Since, radius is a physical quantity determined by a fixed position of an electron at a time. However, there is no mention of mass and velocity hence, it shows both properties.

04

determining the behavior of equation given in part (d).

In the given equation, E = energy of wave and v = frequency. Hence, it shows wave-like properties.

05

determining the behavior of equation given in part (e).

The equation displays wave as well as particle- like properties. Since, in the equation,位 is wavelength. However, m = mass and v = velocity.

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