Question

If l is inversely proportional to
√m
and l is equals to 6 when m is equals to 4 what is the value of M when l is equals to 4.
I want the process not only answer..

Answer 1

Let

L = k / √m ________(1)

here k is proportional constant.

since , L = 6 when m = 4 then from (1)

6 = k /√4

6 = k /2

k = 12

put value of ' k ' in eq.(1) , now the equation is :-

L = 12 / √m _______eq(2)

put value of L = 4 here in equation (2),we get

4 = 12 / √m

√m = 12 /4

√m = 3

m = (3)^2

m = 9

__________________________

Your Answer : m = 9

__________________________

Hope it helps.......have a nice day :)

Answer 2

Let

L = k / √m ________(1)

here k is proportional constant.

since , L = 6 when m = 4 then from (1)

6 = k /√4

6 = k /2

k = 12

put value of ' k ' in eq.(1) , now the equation is :-

L = 12 / √m _______eq(2)

put value of L = 4 here in equation (2),we get

4 = 12 / √m

√m = 12 /4

√m = 3

m = (3)^2

m = 9

__________________________

Your Answer : m = 9

__________________________

Hope it helps.......have a nice day :)