In the \(\mathrm{HCl}\) molecule, the separation between the nuclei of the two atoms is about \(1.27~\mathring{\text A}~(1~\mathring{\text A}=10^{10}~\text m).\) Then the approximate location of the CM of the molecule is:
(Given that a chlorine atom is about \(35.5\) times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus).
1. | \(1.235~\mathring{\text A}\) from \(\mathrm{H-}\)atom |
2. | \(2.41~\mathring{\text A}\) from \(\mathrm{Cl-}\)atom |
3. | \(3.40~\mathring{\text A}\) from \(\mathrm{Cl-}\)atom |
4. | \(1.07~\mathring{\text A}\) from \(\mathrm{H-}\)atom |
A child sits stationary at one end of a long trolley moving uniformly with a speed \(v\) on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, then the speed of the centre of mass of the (trolley + child) system:
1. | decreases |
2. | increases |
3. | remains unchanged |
4. | none of these |