wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

If the value of G (universal gravitational constant) is 6.67×10-11 unit, then determine the value in CGS system.


Open in App
Solution

Prerequisite: System of units.
Step 1: Find the SI unit of universal gravitation constant
The universal gravitational constant is the gravitational force acting between two bodies of unit mass, kept at a unit distance from each other.
G=Fr2m1m2 =force×(length)2mass×mass =N×m2kg2

So, the SI unit of G is Nm2kg2.
Step 2: Convert the SI unit of G into C.G.S unit

1N m2kg2=1×kg (m/s2)×m2kg2 =1×m3kg s2 =1×(100 cm)3(1000 g)×s2 =1×106 cm3103 g s2 =103cm3 g s2

So, the value of 1 SI unit of G in CGS units is 103 cm3g-1s-2.
Step 3: Calculate the value of 6.67×1011 SI units of G into C.G.S units
As calculated from the previous step, we have:
1N m2kg2=103cm3 g s2
6.67×1011N m2kg2=6.67×10-11×103cm3 g s2 =6.67×10-8cm3 g s2
Thus, the value of G in the C.G.S system is 6.67×10-8cm3 g s2 (or simply cm3g-1s-2).


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Free Fall
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon
footer-image