|n⟩ denotes the eigenvector of the number operator for a particle of mass m in a one-dimensional potential V = 12mω2x2 (n = 0, 1, 2, ...). For the state vector |φ(x, t=0)⟩ = 1√3|1⟩ + √2√3|2⟩, the expectation value ⟨x(t)⟩ is:

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?

Which of the following events is considered the immediate trigger for the launch of the Non-Cooperation Movement by Mahatma Gandhi?