हिंदी

The ratio of the radii of hydrogen atom and its nucleus is ~ 105. Assuming the atom and the nucleus to be spherical, what will be the ratio of their sizes?

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प्रश्न

The ratio of the radii of hydrogen atom and its nucleus is ~ 105. Assuming the atom and the nucleus to be spherical,

  1. what will be the ratio of their sizes?
  2. If atom is represented by planet earth ‘Re ’ = 6.4 ×106 m, estimate the size of the nucleus.
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उत्तर

i. Volume of the sphere = `4/3 π"r"^2`

Let R be the radius of the atom and b be that of the nucleus = R = 105r

Volume of the atom = `4/3 "rR"^3`

= `4/3 π (10^5 "r")^3`

= `4/3 π"r"^3 xx 10^15`

Volume of the nucleus = `4/3 π"r"^2`

Ratio of the size of atoms to that of nucleus

= `(4/3 xx 10^15 xx π"r"^3)/(4/3 π"r"^3)`

= 1015

(ii) If the atom is represented b the planet earth (R = 6.4 × 106 m) then the radius of the nucleus would be 

rn = `"R"_"n"/10^5`

rn = `(6.4 xx 10^6 "m")/10^5`

= 6.4 × 10 m 

= 64 m

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अध्याय 4: Structure of the Atom - Long Answer Questions [पृष्ठ ३२]

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एनसीईआरटी एक्झांप्लर Science Exemplar [English] Class 9
अध्याय 4 Structure of the Atom
Long Answer Questions | Q 37. | पृष्ठ ३२

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