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Q. No.Which of the following points is the likely position of the center of mass of the system shown in the figure?
1. \(A\)
2. \(B\)
3. \(C\)
4. \(D\)
Subtopic: Â Center of Mass |
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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 |
Subtopic: Â Center of Mass |
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Two blocks are joined by a light spring of spring constant, \(k=1000\) N/m, and are placed at rest on a horizontal frictionless table. A horizontal force of \(6\) N acts on the \(2\) kg block. The acceleration of the centre-of-mass of the system is:
1. \(3\) m/s2
2. \(2\) m/s2
3. \(1.5\) m/s2
4. \(4.5\) m/s2
1. \(3\) m/s2
2. \(2\) m/s2
3. \(1.5\) m/s2
4. \(4.5\) m/s2
Subtopic: Â Center of Mass |
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Two particles \(A\) and \(B\) initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of \(A\) is \(v\) and speed of \(B\) is \(3v,\) the speed of the centre-of-mass will be:
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
1. \(2v\)
2. zero
3. \(v\)
4. \(4v\)
Subtopic: Â Center of Mass |
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