AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The radius of the earth at the poles is $6357 km$ , and the radius at the equator is $6378 km$ . The percentage change in the weight of the body when it is taken from the equator to the poles:

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

0.5 %

0.7 %

0.3 %

0.8 %

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The radius of the earth at the poles is

6357 km

, and the radius at the equator is

6378 km

. The percentage change in the weight of the body when it is taken from the equator to the poles is

0.7 %

.
Given the radius of the earth at the equator,

R_{E} = 6378 km

Radius of the earth at the pole,

R_{P} = 6357 km

Let the mass of earth be

M

.
Gravitationla force at the equator,

g_{E} = \frac{GM}{{R_{E}}^{2}}

Gravitationla force at poles,

g_{P} = \frac{GM}{{R_{P}}^{2}}

Weight of a person having mass

m

at the equator,

W_{E} = m g_{E}

Weight of that person at the pole,

W_{P} = m g_{P}

The percentage change in the weight of the person in moving from the equator to pole

= \frac{W_{P} - W_{E}}{W_{E}} \times 100

= \frac{{mg}_{P} - {mg}_{E}}{{mg}_{E}} \times 100

= \frac{g_{P} - g_{E}}{g_{E}} \times 100

= \frac{{R_{E}}^{2} - {R_{P}}^{2}}{{R_{P}}^{2}} \times 100

= \frac{{(6378)}^{2} - {(6357)}^{2}}{{(6357)}^{2}} \times 100

≃ 0.7 %

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!