what is matter wave?what do you understand by in phase and out phase waves?calculate the wavelength associated with a body mass 1.5kg moving with a velocity of 100m per second.
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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=1/2 mv²
1/2×1.5kg×100m/s²
= 7500kg.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 ∙ 10−36m
where h is the Planck’s constant and p is the moment of the body.
Answer: the wavelength is 4.4·10-36 m.
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=1/2 mv²
1/2×1.5kg×100m/s²
= 7500kg.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 ∙ 10−36m
where h is the Planck’s constant and p is the moment of the body.
Answer: the wavelength is 4.4·10-36 m.
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matter wave :- according to De-broglie matter also posses dual nature , particle as well as wave. when matter show wave like nature , then we ask this wave is matter wave .
wavelength of matter wave =h/mv
where h is plank's constant, m is mass of particle and v is velocity .
wavelength = 6.6 x 10^-34/1.5 x 100 m
=66/15 x 10^-36 m
=4.4x 10^-36 m
wavelength of matter wave =h/mv
where h is plank's constant, m is mass of particle and v is velocity .
wavelength = 6.6 x 10^-34/1.5 x 100 m
=66/15 x 10^-36 m
=4.4x 10^-36 m
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