Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the center is :

The velocity $$-$$ displacement graph of a particle is shown in the figure.


The acceleration $$-$$ displacement graph of the same particle is represented by :

The speed of electrons in a scanning electron microscope is 1 $$\times$$ 10⁷ ms^-1. If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of :

The decay of a proton to neutron is :