Consider the normal modes of a linear chain in which the force constants between nearest-neighbor atoms are c and 10c alternatively. Let the masses of the atoms be equal to m and the nearest-neighbor separation be a/2. The maximum frequency in the optical branch 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?