m=18 when r = 2.
Step-by-step explanation:
Given,
m∝[tex]\frac{1}{r}[/tex]
So,
m = k×[tex]\frac{1}{r}[/tex],--------eq 1, here k is the constant.
To find the value of m when r = 2
At first we need to find the value of k
Solution
Now,
Putting the values of m=9 and r = 4 in eq 1 we get,
9 = [tex]\frac{k}{4}[/tex]
or, k = 36
So, eq 1 can be written as m= [tex]\frac{36}{r}[/tex]
Now, we put r =2
m = [tex]\frac{36}{2}[/tex]
or, m= 18
Hence,
m=18 when r = 2.
