+91-87964 74404
FlagBACK
Question icon
Discuss with colleagues and IITians

if a planet were suddenly stopped in its circular orbit .show that it would fail into the sun in a time (T*sq.rt.of 2 /8) where T is time of revolution.

Profile image of shweta naik
14 Years agoGrade
Answers icon

1 Answer

Profile image of Arun
6 Years ago
Let, radius of planetary orbit :- r
Time taken to reach sun :- t
Time period of revolution = T
We considered the planet to reach the sun is an elliptical path with time period 2t 
′
 =T 
′
 
T
T 
′
 
​ 
 =( 
r
r 
′
 
​ 
 ) 
3/2
 [r 
′
 = 
2
r
​ 
 ]
T 
′
 =T( 
2
1
​ 
 ) 
3/2
 
t 
′
 =T( 
2
1
​ 
 ) 
3/2
 
t 
′
 =T( 
2
1
​ 
 ) 
3/2
 × 
2
1
​ 
 
∴t 
′
 = 
8
2
​ 
 
​ 
 T

Other Related Questions on discuss with colleagues and iitians

question mark
Are core branches(Mechanical) in Top 3 NIT worth it ?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 3 Years ago

question mark
My rank in JEE Advanced 2022 is 1871. Should I go for IIT Guwahati ECE or IIT Kanpur Mechanical and try for a branch change to CS or Electrical Engineering? Is changing your branch very difficult?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 3 Years ago

question mark
Can i sacrifice board exams for jee mains as board exams are no where valueable as cuet and other will be seen for admission 
 
discuss with colleagues and iitians
1 Answer Available

Last Activity: 4 Years ago

question mark
Is a student studying in IGCSE syllabus eligible for taking IOQP or IOQJS?
discuss with colleagues and iitians
1 Answer Available

Last Activity: 4 Years ago

question mark
I have wasted my 11th? Is it still possible to get into my dream iit? Do i have to cover 11 th syllabus first? When and how can i finish it? 
discuss with colleagues and iitians
1 Answer Available

Last Activity: 4 Years ago