GATE (Graduate Aptitude Test in Engineering) Chemistry: Questions 1 of 29
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Question
The linear momentum of a particle described by the wave function exp (ikx) is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Answer
a.
Explanation

Given that wave function

And linear momentum operator is given by
linear momentum

Solving, = (h/2i∏) { exp (ikx) }
= (h/2i∏) (ik) exp (ikx)
= (ikh/2i∏)
=kh/2∏
Since

Hence linear momentum