CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Earth

The largest a...

Question

The largest and the shortest distance of the earth from the sun are $r_{1}$ and $r_{2}$ , its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

The earth moves around the sun is elliptical path. So by using the properties of ellipse
$r_{1} = (1 + e) a a n d r_{2} = (1 - e) a$
$\Rightarrow a = \frac{r_{1} + r_{2}}{2} a n d r_{1} r_{2} = (1 - e^{2}) a^{2}$

where a=semi major axis
b=semi minor axis
e=eccentricity

Now required distance=semi latusrectum= $\frac{b^{2}}{a}$
= $\frac{a^{2} (1 - e^{2})}{a} = \frac{(r_{1} r_{2})}{\frac{(r_{1} + r_{2})}{2}} = \frac{2 r_{1} r_{2}}{r_{1} + r_{2}}$

Suggest Corrections

thumbs-up

25

Similar questions

Q. The largest and the shortest distance of the earth from the sun are

r_{1}

r_{2}

. Its distance from the sun when it is at perpendicular to the major-axis of the orbit drawn from the sun is:

Q. The maximum and minimum distance of earth from sun are

r_{1}

r_{2}

respectively. What will be the distance of earth from sun when it is perpendicular to the principal axis passing through sun in its orbit?

Q. The maximum and minimum distance of earth from sun are

r_{1}

r_{2}

respectively What will be the distance of earth from sun when its position vector is perpendicular to the major axis of its orbit

R_{1}

R_{2}

are the maximum ranges of a projectile when it is projected from the bottom and top respectively of an inclined plane respectively, then find the maximum range of the projectile when it is projected from the ground with same velocity.

Q. The resistances

R_{1}

R_{2}

are connected in parallel. The equivalent resistance

R_{p}

of the combination is:

(a)

R_{1} + R_{2}

R_{1} - R_{2}

\frac{R_{1} R_{2}}{R_{1} + R_{2}}

\frac{R_{1} + R_{2}}{R_{1} R_{2}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Earth

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard VIII Physics

Join BYJU'S Learning Program

CrossIcon