Two balls are thrown horizontally, one from the window of first floor which is $$3 \mathrm{~m}$$ high from the ground and second from the second floor which is $$6 \mathrm{~m}$$ high from the ground, of a multi storey building, with the same speed of $$6 \mathrm{~ms}^{-1}$$. Calculate the distance that will separate the two balls when they hit the ground.

In intrinsic semiconductors at room temperature, number of electrons and holes are

Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point $$\mathrm{P}$$ and then accelerated through point $$\mathrm{Q}$$ by the electric field. Points $$\mathrm{P}$$ and $$\mathrm{Q}$$ have equal separations in the three arrangements. If $$p_1 p_2$$ and $$p_3$$ are linear momentum of the proton at point $$\mathrm{Q}$$ in the three arrangement respectively, then

A nucleus with mass number 190 initially at rest emits an alpha particle. If the $$\mathrm{Q}$$ value of the reaction is $$4.5 \mathrm{~MeV}$$, the kinetic energy of the alpha particle is