Question

The linear density p in a rod 3 m long is 10/√(x). What is the value of x?

- a) 100
- b) 1
- c) 25
- d) 4

Answer 1

The linear density of a rod is given by p = 10/√(x). To find the value of x, we can rearrange the equation and solve for x, which turns out to be x = 100.

Step-by-step explanation:

The linear density of a rod is given by the equation p = \frac{10}{\sqrt{x}}. We need to find the value of x. To do that, we can rearrange the equation as follows:

\sqrt{x} = \frac{10}{p}

Squaring both sides of the equation gives us:

x = \left(\frac{10}{p}\right)^2

Substituting the given linear density of 10/\sqrt{x}, we get:

x = \left(\frac{10}{\frac{10}{\sqrt{x}}}\right)^2 = \left(\frac{10\sqrt{x}}{10}\right)^2 = (\sqrt{x})^2 = x

Therefore, the value of x is x = 10^2 = 100, so the correct answer is (a) 100.