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Atoms And Molecules

Question
CBSEENSC9006066
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What happens to the force between two bodies, if
(i) the mass of one body is doubled?
(ii) the distance between the bodies is doubled and tripled?
(iii) the masses of both bodies are doubled?

Solution

Gravitational Force, F = G  fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction
(i) The force gets doubled on increasing the mass of the body (m1 or m2).
New force becomes, 
                      straight F apostrophe space equals straight G fraction numerator left parenthesis 2 straight m subscript 1 right parenthesis space straight m subscript 2 over denominator straight r squared end fraction space equals space 2 straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction space equals space 2 straight F

(ii)
a) When distance between the bodies is doubled,

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i.e. the force becomes one fourth of the original force. 
b) When the distance between the two bodies is tripled,

       straight F apostrophe space equals space straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator left parenthesis 3 straight r right parenthesis squared end fraction space equals space 1 over 9 straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction space equals space 1 over 9 straight F 
i.e. the force becomes one ninth of the original force. 
(iii) When the masses of both sids are doubled,
                 straight F apostrophe space equals space straight G fraction numerator left parenthesis 2 straight m subscript 1 right parenthesis thin space left parenthesis 2 straight m subscript 2 right parenthesis over denominator straight r squared end fraction space equals space 4 straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction space equals space 4 straight F
i.e, the force becomes four times the original force when masses of both bodies are doubled. 
                

Some More Questions From Atoms And Molecules Chapter

What is the mass of:

(a) 1 mole of nitrogen atoms

(b) 4 moles of aluminium atoms

(c) 10 moles of sodium sulphite.

Convert into mole

(a) 12 gm of oxygen gas

(b) 20 gm of water

(c) 22 gm of carbon dioxide.

What is the mass of?

(a) 0.2 mole oxygen atoms.

(b) 0.5 mole of water molecules.

Calculate the number of molecules of sulphur (S8) present in 16 gm of solid sulphur.

Calculate the number of aluminium ions present in 0.56 gm of aluminium oxide.

Explain law of conservation of mass.

50 g of 10% lead nitrate is mixed with 50 g of 10% sodium chloride in a closed vessel. After the reaction has taken place, it was found that 6.83 g of lead chloride was precipitated. Besides, the reaction mixture contained 90 g water and sodium nitrate. Calculate the amount of sodium nitrate formed.

Name and explain two important laws of chemical combination ?

What are the postulates of Dalton’s atomic theory of matter?

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