CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The drawing below is NOT drawn to scale
The drawing represents a planet orbiting some star. The planet is close to the star as it moves from point 1 to point 2 than it is when it moves from point 3 to point 4 in its orbit. The dotted line shows the orbital path.
If the time it takes the planet to get from point 1 to point 2 is equal to the time it takes the planet to get from point 3 to point 4, then which of the following statements is true, according to Kepler's laws of planetary motion?
496381.jpg

A
The average speed as the planet travels from 1 to 2 is the same as when it travels from 3 to 4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Area 1 in the diagram is equal to Area 2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Area 1 in the diagram is smaller than Area 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
The planet moves further from 3 to 4 than from 1 to 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
The average speed as the planet moves from 3 to 4 is greater than when the planet moves from 1 to 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A Area 1 in the diagram is equal to Area 2
Kepler's second law states that areal velocity of a planet remains constant i.e. a planet sweeps equal area in equal time .
Areal velocity of planet from 1 to 2 ,
vA=A1/Δt ,
Areal velocity of planet from 3 to 4 ,
vA=A2/Δt ,
given that time taken by planet to cover area 1 and area 2 is same ,
but by Kepler's law vA=vA ,
or A1/Δt=A2/Δt ,
or A1=A2

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Kepler's Law
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon