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Physics Part-I

System of Particles and Rotational Motion

In the HCl molecule, the separation between the nuclei of the

Physics Part-I

Class 11

NCERT

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In the HCl molecule, the separation between the nuclei of the two atoms is about

1.27 \overset{˚}{A} (1 \overset{˚}{A} = 1 0^{- 10} m)

. Find the approximate location of the CM of the molecule, 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.

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In the HCl molecule, the separation between the nuclei of the two atoms is about $1.27 \overset{˚}{A} (1 \overset{˚}{A} = 1 0^{- 10} m)$ . Find the approximate location of the CM of the molecule, 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.

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Updated on: Mar 15, 2023

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Physics Part-I (NCERT)

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Luna Discussed

In the HCl molecule, the separation between the nuclei of the two atoms is about

1.27 \overset{˚}{A} (1 \overset{˚}{A} = 1 0^{- 10} m)

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Let Mass of H atom

= m

Mass of Cl atom

= 35.5 m

Let the centre of mass of the system lie at a distance

x \overset{˚}{A}

from the Cl atom.
Distance of the centre of mass from the H atom =

(1.27 - x) \overset{˚}{A}

Let us assume that the centre of mass of the given molecule lies at the origin. Let Hydrogen lie to the left of the origin and chlorine to the right.

Position of Hydrogen atom

= - (1.27 - x) \overset{˚}{A}

Position of chlorine atom

= x \overset{˚}{A}

Therefore, we can have:

\frac{- m ( 1.27 - x ) + 35.5 m x}{m + 35.5 m} = 0

⟹ - m (1.27 - x) + 35.5 m x = 0

⟹ x = \frac{1.27}{35.5 + 1} = 0.035 \overset{˚}{A}

Hence, the centre of mass of the HCl molecule lies

0.035 \overset{˚}{A}

from the Cl atom.

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Practice more questions from Physics Part-I (NCERT)

Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body ?

In the HCl molecule, the separation between the nuclei of the two atoms is about

1.27 \overset{˚}{A} (1 \overset{˚}{A} = 1 0^{- 10} m)

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Question Text	In the HCl molecule, the separation between the nuclei of the two atoms is about $1.27 \overset{˚}{A} (1 \overset{˚}{A} = 1 0^{- 10} m)$ . Find the approximate location of the CM of the molecule, 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.
Updated On	Mar 15, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	295
Avg. Video Duration	13 min

Text solutionVerified

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