Match the LIST-I with LIST-II
| LIST-I (Energy of a particle in a box of length L) | LIST-II (Degeneracy of the states) | ||
|---|---|---|---|
| A. | \( \frac{14h^2}{8mL^2} \) | I. | 1 |
| B. | \( \frac{11h^2}{8mL^2} \) | II. | 3 |
| C. | \( \frac{3h^2}{8mL^2} \) | III. | 6 |
Choose the correct answer from the options given below:
A particle of mass \(m\) is in an infinite square potential of length \(L\). The wave function is superimposed state of the first two energy eigenstates, given by:
\[ \Psi(x) = \sqrt{\frac{1}{3}} \Psi_{n=1}(x) + \sqrt{\frac{2}{3}} \Psi_{n=2}(x) \]
Identify the correct statements:
A. \( \langle p \rangle = 0 \)
B. \( \Delta p = \frac{\sqrt{3}h}{2L} \)
C. \( \langle E \rangle = \frac{3h^2}{8mL^2} \)
D. \( \Delta x = 0 \)
Choose the correct answer from the options given below:
Match List-I with List-II\[\begin{array}{|c|c|} \hline \textbf{Provision} & \textbf{Case Law} \\ \hline \text{(A) Strict Liability} & \text{(1) Ryland v. Fletcher} \\ \hline \text{(B) Absolute Liability} & \text{(II) M.C. Mehta v. Union of India} \\ \hline \text{(C) Negligence} & \text{(III) Nicholas v. Marsland} \\ \hline \text{(D) Act of God} & \text{(IV) MCD v. Subhagwanti} \\ \hline \end{array}\]
Match Fibre with Application.\[\begin{array}{|l|l|} \hline \textbf{LIST I} & \textbf{LIST II} \\ \textbf{Fibre} & \textbf{Application} \\ \hline \hline \text{A. Silk fibre} & \text{I. Fire retardant} \\ \hline \text{B. Wool fibre} & \text{II. Directional lustre} \\ \hline \text{C. Nomex fibre} & \text{III. Bulletproof} \\ \hline \text{D. Kevlar fibre} & \text{IV. Thermal insulation} \\ \hline \end{array}\]