Question

3. The speed of sound is 330 m s-1 and that of light
is 3 × 10^8 m s-1. The ratio of speed of sound to
that of light is 11 : 10^x. Find the value of x.​

Answer 1

$\sf\boxed{\huge{\underline{\rm{Answer:}}}}$

$\Large\rm\red{x=7}$

$\sf\boxed{\huge{\underline{\rm{Solution:}}}}$

Speed of sound = $\rm{330 {m^-1}}$

Speed of light = $\rm{3 × 10^8 {m^-1}}$

∴ $\rm\dfrac{speed\:of\:sound}{speed\: of\: light} = \dfrac{330}{3×10^8} = \dfrac{33}{3×10^7}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\rm={\dfrac{11}{10^7}}= {11:10^7} (approx)$

∴ $\rm\underline{\red{x=7}}$

Answer 2

$\huge!{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

Speed of sound =330m/s

Speed of light = 3×108m/s

Ratio of speed of sound to light =Vs/Vl

330

= -----------

3×10^8

= 11 × 10^7 = 11 : 10^7

HENCE, THE VALUE OF X IS 7.

 $\huge\boxed{\fcolorbox{white}{pink}{Hope!it's helps u...xd}}$