Question

If p varies inversely as the square root of R and P=1/4 when R =4. Find the formula connecting the variables

Answer 1

Answer:

p = 4/R²

Step-by-step explanation:

p ∝ 1/R²

p = k(1/R²)

1/4 = k/4²

16/4 = k

k = 4

p = 4/R²

Answer 2

Answer:

P = 1/2√R

Step-by-step explanation:

P is inversely proportional to the square root of R.

P is propoetional to 1/√R.

Introduce a constant 'k'.

=> P = k * 1/√R

When, R = 4 & P = 1/4:

=> 1/4 = k * 1/√4

=> 1/4 = k * 1/2

=> 1/2 = k

Hence,

P = 1/2 * 1/√R

=> P = 1/2√R