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Physics
Particles P and Q of mass 20 gm and 40 gm respectively are simultaneously projected from points A and B on the ground. The initial velocities of P and Q make 45^o and 135^o angles respectively with the horizontal AB as shown in the figure. Each particle has an initial speed of 49 m/s. The seperation AB is 245 m. Both particle travel in the same vertical plane and undergo a collision. After the collision, P retraces its path, Determine the position of Q when it hits the ground. How much time after the collision does the particle Q take to reach the ground? Take g = 9.8 m/s².
Chemistry
...................hybrid orbitals of nitrogen atom are involved in the formation of ammonium ion.
Mathematics
Let R. Prove that a function f : R R is differentiable at if and only if there is a function g : R R which is continuous at and satisfies f(x) - f() = g(x) (x - ) for all x R.