What is matter wave? What do you understand by in phase and out phase waves? Calculate the wavelength associated with a body of mass 1.5 kg moving with a velocity of 100 m s1.? Please Give me Full Solution Beacuse i dont know chemistry.
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Matter waves are a central part of the theory of quantum mechanics.
The concept that matter behaves like a wave is also referred to as the de Broglie hypothesis due to having been proposed by Louis de Broglie.
Solution:
Wave is an oscillation which lead to the energy transfer though a medium. In common waves
consist of oscillations or vibrations around almost fixed locations. The waves can be a mechanical
like a sound and electromagnetic one like visible light, for instance.
Phase is the position of a point in time (an instant) on a wave cycle. Phase can also be an
expression of relative displacement between two corresponding features
of two waves with the same frequency.
Two waves that have the same frequency and phase are in phase. Two waves that have the same
frequency but different phases are out of phase with each other.
In phase Out of phase
Calculation of the wavelength:
1
st step is the kinetic energy calculation:
E=1/2mv²
=1/2×1.5 kg×100m/s²
= 7500 kg.m²/s²
= 7500 J
2nd step is the calculation of the wavelength with the Broglie equation:
^= h/p =h/✓2Em
=6.626×10-³⁴J.s/✓2.7500 J.kg
=4.4×10-³6
where h is the Planck’s constant and p is the moment of the body.
= 4.4 ∙ 10−36
Answer: the wavelength is 4.4·10-³6 m.
The concept that matter behaves like a wave is also referred to as the de Broglie hypothesis due to having been proposed by Louis de Broglie.
Solution:
Wave is an oscillation which lead to the energy transfer though a medium. In common waves
consist of oscillations or vibrations around almost fixed locations. The waves can be a mechanical
like a sound and electromagnetic one like visible light, for instance.
Phase is the position of a point in time (an instant) on a wave cycle. Phase can also be an
expression of relative displacement between two corresponding features
of two waves with the same frequency.
Two waves that have the same frequency and phase are in phase. Two waves that have the same
frequency but different phases are out of phase with each other.
In phase Out of phase
Calculation of the wavelength:
1
st step is the kinetic energy calculation:
E=1/2mv²
=1/2×1.5 kg×100m/s²
= 7500 kg.m²/s²
= 7500 J
2nd step is the calculation of the wavelength with the Broglie equation:
^= h/p =h/✓2Em
=6.626×10-³⁴J.s/✓2.7500 J.kg
=4.4×10-³6
where h is the Planck’s constant and p is the moment of the body.
= 4.4 ∙ 10−36
Answer: the wavelength is 4.4·10-³6 m.
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