Question

Write the following statements using symbol of variation .(1) The wavelength of sound (l) and its frequency (f) are in inverse variation.(2) The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.

Answer 1

According to the question,

Velocity = frequency times wavelength i.e. v = f x λ

Also, the wavelength of sound (l) and its frequency (f) are in inverse variation:

f proportional to ( 1 / λ )

The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp can be shown as:

i proportional to (1/d^2).

Answer 2

Hi,

solution:

(1) The wavelength of sound (l) and its

frequency (f) are in inverse variation:
Lambda $\alpha \frac{1}{f}$
here $\alpha$ is symbol of proportionality. To remove the symbol we have add a proportionality constant c.So,equation will be

lambda $= \frac{c}{f}$

(2) The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp:

I $\alpha \: \: c \frac{1}{ {d}^{2} }$

I $= \frac{c}{ {d}^{2} }$

hope it helps you.