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Atoms And Molecules

Question
CBSEENSC9006098
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A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10–5 N. If G = 6 x 10–11 Nm2/kg 2, calculate the distance between the two spheres.

Solution

Given,
Mass of the first sphere, m1 = 40 kg
Mass of the second sphere, m2 = 60 kg
Forcing acting between the bodies, F = 4 x 10–5 N
Gravitaional constant, G = 6 x 10–11 Nm2/kg2.
Now, using the formula, 
As space space space space space straight F space equals space straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction therefore space space space space straight r space equals space square root of fraction numerator Gm subscript 1 straight m subscript 2 over denominator straight F end fraction end root space equals space square root of fraction numerator 6 cross times 10 to the power of 11 cross times 40 cross times 60 over denominator 4 cross times 10 to the power of negative 5 end exponent end fraction end root space equals space square root of 36 space cross times space 10 to the power of negative 4 end exponent end root space equals space 6 space cross times space 10 to the power of negative 2 end exponent straight m space space space space space space space equals space 6 space cross times space 10 to the power of negative 2 end exponent space cross times space 100 space cm space equals space 6 space cm. space Ans.


Therefore, the distance between the two spheres is 6 cm. 

Some More Questions From Atoms And Molecules Chapter

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(a) 0.2 mole oxygen atoms.

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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?

Hydrogen and oxygen combine in two different ways to produce water and hydrogen peroxide. Which of Dalton’s law does this observation confirm? Explain.

State drawbacks of Dalton’s atomic theory of matter.

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