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CBSE Class 11-science Answered

1)Compute the ratio of gravitational force and electrostatic force between an electron (mass-   9.1 × 10^-19 kg )and a proton (mass- .  1.7×10^-27 kg). GIVEN: e=1.6 ×10^-19C              G=6.67 ×10^-11 N m^2 /kg^-2   ANSWER GIVEN: 4.5 × 10^-40
Asked by mlan.man1710 | 20 Aug, 2018, 11:49: AM
answered-by-expert Expert Answer
mass of electron = 9.1×10-31 kg . value given in the question is wrong. 
Let us assume electron and proton are placed with separation distance r metre.
 
Gravitational force FG = begin mathsize 12px style G fraction numerator m subscript p cross times m subscript e over denominator r squared end fraction space equals space space fraction numerator 6.67 cross times 10 to the power of negative 11 end exponent cross times 1.7 cross times 10 to the power of negative 27 end exponent cross times 9.1 cross times 10 to the power of negative 31 end exponent over denominator r squared end fraction space equals space fraction numerator 6.67 cross times 9.1 cross times 1.7 over denominator r squared end fraction cross times 10 to the power of negative 69 end exponent end style .............(1)
Electrostatic force FE = begin mathsize 12px style fraction numerator 1 over denominator 4 pi epsilon subscript o end fraction e squared over r squared space equals space fraction numerator 9 cross times 10 to the power of 9 cross times 1.6 cross times 1.6 over denominator r squared end fraction cross times 10 to the power of negative 38 end exponent end style ..........................(2)
hence begin mathsize 12px style F subscript G over F subscript E space equals space 4.47 cross times 10 to the power of negative 40 end exponent end style
Answered by Thiyagarajan K | 20 Aug, 2018, 12:16: PM
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