Question

if l is inversely proportional to root M and l is equals to 6 when m is equals to 4 what is the value of the when l is equals to 4​

Answer 1

Answer:

9

Step-by-step explanation:

It's given that

• i ∝ 1/√m

It can also be written as

• m ∝ 1/i²

From above relation we can write

• m₂/m₁ = (i₁/i₂)²

So,

m₂ = m₁ × (i₁/i₂)²

= 4 × (6/4)²

= 4 × (3/2)²

= 4 × 9/4

= 9

Answer 2

GIVEN.

$\\ \tt\dfrac{i ∝ 1}{ \sqrt m} \: \bf{ OR } \tt\: \: \dfrac{m ∝ 1}{i {}^{2} }$

TO FIND.

$\\ \underline{\tt \: value \: of \: the \: when \: \bf \: l = 4}$

FORMULA USED.

$\: \\\huge{\cdot} \: \: \large \tt\frac{m_{2}}{m_{1}} \: = \: ( \ \frac{i_{1}}{i_{2}} ) {}^{2} \\ \\ \qquad \huge{\cdot} \: \: \large \tt{m {}^{2} = \: m_{1} \: \times \: ( \ \frac{i_{1}}{i_{2}} ) {}^{2} \: }$

EXPLANATION.

$\to \: \: \large \tt{m {}^{2} = \: m_{1} \: \times \: ( \ \frac{i_{1}}{i_{2}} ) {}^{2} \: }$

➣4 × (6/4)²

➣4 × (3/2)²

➣4 × 9/4

➣9

Therefore, the answer is 9.