Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

?????? ?????????? ? ???????? ?? ???? ???? r ?? ??????? ????? ?? -ke^2÷3r^3 ?????? ???? ???? ??? ?? ???????? ?????? ?? ????? solve ???? ?? ??? ???? principal ?? use ????
Asked by aftab01561 | 02 Jul, 2022, 23:35: PM
answered-by-expert Expert Answer
Force of attraction between electron and proton is same as centripetal force in imaginary atom .
 
Hence we have ,  begin mathsize 14px style m v squared over r space equals space K space fraction numerator e squared over denominator 3 r cubed end fraction end style
where m is mass of electron , v is speed of electron, r is orbital radius , K = 1/(4πεo ) is Coulomb's constant ,
e is charge magnitude of electron or proton .
 
From above expression, we get , Kinetic energy KE is given as
 
begin mathsize 14px style K E space equals space 1 half m space v squared space equals space K space fraction numerator e squared over denominator 6 space r squared end fraction end style
 
Potential energy PE is given as
 
begin mathsize 14px style P E space equals space minus integral subscript infinity superscript r F times d r apostrophe space equals space K over 2 integral subscript infinity superscript r fraction numerator e squared over denominator r apostrophe cubed end fraction d r apostrophe space equals space minus fraction numerator K e squared over denominator 6 r squared end fraction end style
Hence total energy = KE + PE = 0
 
Answered by Thiyagarajan K | 09 Jul, 2022, 21:17: PM
Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Chemistry
the maximum number of electrons with s=+1/2 in an orbital for which l=2 is
question image
Asked by radham6375 | 17 May, 2024, 20:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
chemistry
question image
Asked by 9079344910choudhary | 16 May, 2024, 18:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
pls tell
question image
Asked by darshkumarmanas | 04 May, 2024, 21:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
When the excited electron of a H atom from n=5 drops to the ground state, the maximum number of emission lines observed are_______
Asked by purnendurai26 | 02 May, 2024, 18:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
Q. 59 Review Later If the bond order in Cl O 4 ^ - is x, find the value of 100x.
question image
Asked by cheekatiyogendra143 | 20 Apr, 2024, 11:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
the frequency associated with a photon of radiation having a wavelength of 6000 A is
Asked by jwhhebbb | 19 Apr, 2024, 13:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
distance of closest approach in chemistry
Asked by adityadoodi3 | 05 Apr, 2024, 23:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
the ratio of velocity of the electron in the third and fifth orbit of li2+ would be
Asked by pratap62437 | 19 Feb, 2024, 12:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
please help me in solving this
question image
Asked by sayushman087 | 01 Feb, 2024, 10:28: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Chemistry
if bi with atomic mass number 83 number 211 and undergoes bf deay, the resultant daughter nucleus will be a) bi - 209 c) tx - 207 b) p_{0} - 211 d) pa-208
Asked by marthalamanoharreddy65 | 17 Dec, 2023, 10:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Customised test packs for Teachers, Parents, and Students. Click here for details!
×