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

In a hypothetical case, if the diameter of the earth becomes half of its original value and its mass becomes four times its original value, then how would the weight of any object on the surface of the earth be affected by its original value.

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

12

times

14

times

15

times

16

times

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The mass of the object increased by

16

times.
Weight of any object of mass

m

on the surface of the earth is

W = mg

…(1)
Here acceleration due to gravity is

g = \frac{GM}{R^{2}}

…(2)
From equation (1) and (2),
That is

W = \frac{GMm}{R^{2}}

…(3)
Where

G

is universal gravitational constant,

M

and

R

is mass and radius of earth respectively.
If the radius is half of its original value and the mass become four times then the new weight of the mass become

W^{'} = \frac{G (4 M) m}{{(\frac{R}{2})}^{2}}

W^{'} = 16 \times \frac{GMm}{R^{2}}

W^{'} = 16 W

Therefore the mass of the object increased by

16

times.

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!

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

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

In a hypothetical case, if the diameter of the earth becomes half of its original value and its mass becomes four times its original value, then how would the weight of any object on the surface of the earth be affected by its original value.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App