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 :

Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :

(Molecular weight of oxygen is 32g/mol; R = 8.3 J K^$$-$$1 mol^$$-$$1)