Question

If l is inversely proportional to√m nd l =6 when m=4.what is the value of m when l =4​

Answer 1

Answer: 9

Step-by-step explanation:

Let

L is a inversely proportional to √m

[ To remove proportional symbol we have to use a constant ]

Therefore the equation would be

L = k*1/√m

L= k/√m

In case 1

L =6

.m= 4

L = K/√m

6 = K/ √4

6 = K /2

K = 12

In case 2

L = 4

.m=?

K = 12 ( since K is a constant)

L= K/√m

4=12/√m

√m = 12/4

√m = 3

[squaring on both sides ]

.m = 9