The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AA^T is 9, is equal to _____________.

The pressure acting on a submarine is 3 $$\times$$ 10⁵ Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be :

(Assume that atmospheric pressure is 1 $$\times$$ 10⁵ Pa density of water is 10³ kg m^$$-$$3, g = 10 ms^$$-$$2)

The velocity-displacement graph describing the motion of bicycle is shown in the figure.


The acceleration-displacement graph of the bicycle's motion is best described by :

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $$\theta$$ as shown in figure. The coefficient of kinetic friction is $$\mu$$_k. then, the block's acceleration 'a' is given by :

(g is acceleration due to gravity)