by the wavefunction, ![\[\psi(x,0)=\left{\begin{array}{cl} A(a^2-x^2),&-a\leq x \leq a\ \\0,& \mbox{otherwise}\end{array}\right.\]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-018369b7d13d8fac687bce37af99e1ed_l3.png "Rendered by QuickLaTeX.com")
![\[A. ~~\sqrt{\frac{16}{15a^5}} ~~~B. ~~\sqrt{\frac{15}{16a^4}} ~~~C. ~~\sqrt{\frac{15}{16a^5}} ~~~D. ~~\sqrt{\frac{16}{15a^4}}\]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-5af793486af8bfe2ce74b28c000e11bf_l3.png "Rendered by QuickLaTeX.com")
The correct choice is C. Watch the following video for complete solution:
![[\hat{x},\hat{p}_x]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-56d7cd57850f5fd05c96961a3f53d897_l3.png "Rendered by QuickLaTeX.com")
B. ![[\hat{x},\hat{p}_y]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-3c7403d9e292a5edcf0bc2e36c39d560_l3.png "Rendered by QuickLaTeX.com")
C. ![[\hat{x}^2,\hat{p}_x]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-57f4df34e0152d7b8e87200a38a7123b_l3.png "Rendered by QuickLaTeX.com")
D. ![[\hat{x},\hat{p}^2_x]](https://physicshut.com/wp-content/ql-cache/quicklatex.com-aa85bd665003b4b74c49bbad7ee66381_l3.png "Rendered by QuickLaTeX.com")
The correct choices are A, C and D Watch the following video for full solution:
energy level of a particle in a cubical box is given by 
, where 
is the ground state energy. Then the immediate 
energy level will be 
fold degenerate.Keywords: IIT Bombay, Quantum Mechanics-I, Prof. P. Ramadevi, Chandigarh University, NPTEL Assignment-1, Numerical-5
If you are interested to know more about scalar and vector fields, then watch video lecture by me on this topic at the following link: https://youtu.be/H4eWdwaGWYI. Another video, that may be of interest to the reader of this post is ‘Transverse nature of electromagnetic waves’. The link to this video lecture by me is given …
