Question

100 POINTS!!! PLEASE HELP!

1. If the uncertainty of the magnitude of momentum approaches zero, the uncertainty in the location ____.
goes to infinity
is undefined
goes to zero
remains constant

2. What is the de Broglie wavelength of a 1.22 kg discus moving at a speed of 12 m/s? (h = 6.626 x 10-34 J·s)
5.68 x 10-35 m
4.53 x 10-35 m
5.53 x 10-35 m
3.42 x 10-35 m

3. Which of the following are true? Select all that apply.
Light exhibits wave characteristics when interacting with solid matter.
All matter exhibits both wave and particle characteristics.
Light exhibits particle characteristics when interacting with solid matter.
All matter has a specific de Broglie wavelength.

4. With what speed would a particle with a mass of 1.05 x 10-17 kg have to move if it had a de Broglie wavelength of 3.78 x 10-25 m?
2.03 x 108 m/s
3.94 x 108 m/s
1.68 x 108 m/s
6.31 x 108 m/s

5. Which of these scientists is most known for their postulate that all matter can exhibit wave-like behavior?
De Broglie
Einstein
Young
Planck

TROLLS AND POINT FARMING WILL BE REPORTED!!!!

Answer 1

Question 1 - Answer (A) Goes to infinity

Question 2 - (B) 4.53 x 10^-35 m

Question 3 - Answer (C) Light exhibits particle characteristics when interacting with solid matter.

• Answer (B) All matter exhibits both wave and particle characteristics.

Question 4- (C) 1.68 x 10^8 m/s

Question 5- (A) De Broglie

Step-by-step explanation:

Question 1: (A) Goes to Infinity

(Explanation: - In accordance with Heisenberg's uncertainty principle, which states that the product of the uncertainties in position and momentum of a particle cannot be less than Planck's constant divided by 4π. Therefore, if the uncertainty in momentum approaches zero, the uncertainty in position must approach infinity to satisfy this principle).

Question 2:

The De Broglie wavelength of a 1.22 kg discusses moving at a speed of 12 m/s is approximately.

4.53 x 10^-35 m

Calculation:

De Broglie wavelength is given by the equation:

wavelength = h/mv, Where:

1. h is the Planck's constant (6.626 x 10^-35 J.s)
2. m is the mass of the object (1.22 kg in this case)
3. v is the velocity of the object (12 m/s in this case)

So, substituting these values into the equation you get:

wavelength = 6.626 x 10^-34 / 1.22 * 12

Answer (B) = 4.53 x 10^-35 m

Question 3:

• Answer (C) Light exhibits particle characteristics when interacting with solid matter. (Explanation: - Such as diffraction and interference patterns. This is the basis for techniques like X-ray crystallography used to determine molecular structures.)
• Answer (B) All matter exhibits both wave and particle characteristics. (Explanation: - This was first proposed by Louis de Broglie in his Ph.D. thesis in 1924.)
• Statement (D) is false, because, all matter will have a specific De Broglie wavelength only when only when matter is moving or having momentum.
• Statement (A) is also False!

Question 4:

Given:

Mass = 1.05 x 10^-17 kg

wavelength = 3.78 x 10^-25 m

De Broglie wavelength:

wavelength = h/mv, Where:

h = Planck's constant = 6.63 x 10^-34

3.78 x 10^-25 = 6.63 x 10^-34 / 1.05 x 10^-17 x v

V = 6.63 x 10^-34 / 3.78 x 10^-25 x 1.05 x 10^-17

v = 1.68 x 108 m/s

So, the Speed of the Particle:

Answer : (C) 1.68 x 108 m/s

Question 5: Self Explanatory

Answer: (A) De Broglie

(Explanation:- Louis de Broglie proposed that all matter can exhibit wave-like behavior. This means that particles can display properties of both waves and particles, depending on how they are observed.)

Hope this helps you to further understand your studies!

I have explained the best way that I can!

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