Question

Pls help

Use the formula R = log (a/t) + B to find the intensity R on the Richter scale, given that amplitude a is 365 micrometers, time T between waves is 2.4 seconds, and B is 2.8. Round answer to one decimal place.
a) 5
b) 9.5
c) 7.8
d) 2.2

Answer 1

Plugging in the given values and simplifying, the intensity is approximately 5.0. To find the intensity R on the Richter scale, use the formula R = log(a/t) + B.

Step-by-step explanation:

To find the intensity R on the Richter scale, we can use the formula R = log(a/t) + B. Let's plug in the given values: a = 365 micrometers, t = 2.4 seconds, and B = 2.8.

R = log(365/2.4) + 2.8

Simplifying further, we get R = log(152.083) + 2.8. Using a logarithmic calculator or a scientific calculator, we find that log(152.083) ≈ 2.1818. Adding 2.1818 to 2.8, we get approximately 4.9818. Rounding this to one decimal place, the intensity R on the Richter scale is approximately 5.0.