Daily Question Banks for Engineering Entrance and Board Exams

Questions
Physics
A uniform thin rod of mass M and length L is standing vertically along the y- axis on a smooth horizontal surface, with its lower end at the origin (0, 0). A slight disturbance at t = 0 causes the lower end to slip on the smooth surface along the positive x- axis, and the rod starts falling.
(i) What is the path followed by the centre of mass of the rod during its fall?
(ii) Find the equation to the trajectory of a point on the rod located at a distance r from the lower end. What is the shape of the path of this point?

Chemistry
[True or False] During SN1 reaction, the leaving group leaves the molecule before the incoming group is attached to the molecule.

Mathematics
Let a > 0, d > 0. Find the value of the determinant.
 
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