Explain about the Dual behaviour of matter
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Dual behavior of matter means that material particles at atomic scale in some circumstances behave as particles and in some circumstances behave as waves. This means some phenomena related with particle can only be explained if we forget it’s particle nature and regard it as a wave. Now, in the beginning, this idea would look confusing. This is because we understand particle as a point embodied with mass or a particle is extremely localized entity. Then how it can be described by a wave ? Wave is not a localized entity. To solve this dilemma ,we can think of constructing a wave which is localized in the space having particle activity. This can be done by superposing large number( in principle, infinite number) of harmonic waves of continuously varying wave lengths on each other. The resulting wave is called a wave packet. Thus, wave packet can be used to describe a particle.
But, then problem is not completely solved. We know that a harmonic wave has wave or phase velocity given by v=w/k, where w is angular frequency and k is wave vector defined by 2pi/(lambda). Here, (lambda) is wave length. Now, de Broglie had shown that wave length associated with a particle of linear momentum p is given by (lambda)=h/p, where h is Planck’s constant. But, the wave packet that we have constructed consists of large number of wave lengths. Then one would ask the question as to particle of which momentum is represented by the wave packet? There is another problem also. All component waves in a wave packet have not same velocity and as a result during motion of the wave packet the component waves will get dispersed and finally wave packet will disappear. We know that particle does not disappear during it’s motion
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here is Ur answer
Dual behavior of matter means that material particles at atomic scale in some circumstances behave as particles and in some circumstances behave as waves. This means some phenomena related with particle can only be explained if we forget it’s particle nature and regard it as a wave. Now, in the beginning, this idea would look confusing. This is because we understand particle as a point embodied with mass or a particle is extremely localized entity. Then how it can be described by a wave ? Wave is not a localized entity. To solve this dilemma ,we can think of constructing a wave which is localized in the space having particle activity. This can be done by superposing large number( in principle, infinite number) of harmonic waves of continuously varying wave lengths on each other. The resulting wave is called a wave packet. Thus, wave packet can be used to describe a particle.
But, then problem is not completely solved. We know that a harmonic wave has wave or phase velocity given by v=w/k, where w is angular frequency and k is wave vector defined by 2pi/(lambda). Here, (lambda) is wave length. Now, de Broglie had shown that wave length associated with a particle of linear momentum p is given by (lambda)=h/p, where h is Planck’s constant. But, the wave packet that we have constructed consists of large number of wave lengths. Then one would ask the question as to particle of which momentum is represented by the wave packet? There is another problem also. All component waves in a wave packet have not same velocity and as a result during motion of the wave packet the component waves will get dispersed and finally wave packet will disappear. We know that particle does not disappear during it’s motion
hope it helps u dear
plz mark it as brainliset
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A. Light has a dual nature. 1.Sometimes it behaves like a particle (called a photon), which explains how light travels in straight lines. 2. Sometimes it behaves like a wave, which explains how light bends (or diffracts) around an object.
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