Question

The speed of light is $3\times {10}^{8}m/s$ and the speed of sound is $3.43\times {10}^{2}m/s$. Then the speed of light is almost _____ times greater than that of sound.

• A. ${10}^{10}$
• B. ${10}^3$
• C. ${10}^8$
• D. ${10}^6$

Answer 1

The correct option is D ${10}^6$

$\text{Given:}\text{Speed of light}=3\times {10}^{8}m/s\text{Speed of sound}=3.43\times {10}^{2}m/s\frac{speedoflight}{speedofsound}=\frac{3\times {10}^8}{3.43\times {10}^2}=\frac{3\times {10}^6}{3.43}[\because \frac{a^m}{a^n}=a^{m-n}]$

Therefore, the speed of light is almost ${10}^6$ times greater than that of sound.