Percentage Change in Sound Intensity - Help

AI Thread Summary
An intensity level change of +2.00 dB corresponds to a percentage change in intensity of approximately 58.5%. The calculation involves using the formula B = 10 log (I/Io), leading to I/Io = 1.585 when solving for intensity. Assuming Io = 1, the percentage difference is calculated as 100(1.585-1.0). The solution has been confirmed as correct by multiple participants in the discussion. The calculations and reasoning presented are accurate and validated.
dvolpe
Messages
34
Reaction score
0

Homework Statement


An intensity level change of +2.00 dB corresponds to what percentage change in intensity!


Homework Equations



B = dB = 10 log (I/Io)

The Attempt at a Solution


2.00 dB = 10 log (I/Io)
0.2 = log (I/Io)
I/Io = 10e0.2 = 1.585

Assuming Io = 1, then percentage difference = 100(1.585-1.0) = 58.5%.

Is this correct? Please help asap.
 
Physics news on Phys.org
This is correct per webassign
 
dvolpe said:
This is correct per webassign
Yup, looks good to me too.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Ratio of Intensities of 2 sounds
Replies
5
Views
2K
Calculating τ by knowing I is proportional to A^2
Replies
8
Views
2K
Calculating the power output from a persons mouth
Replies
3
Views
2K
What is the decibel level of a sound at 4% intensity of a 95dB sound?
Replies
2
Views
2K
Calculate the Sound intensity level
Replies
3
Views
5K
Waves: Calculate the sound intensity from two speakers
Replies
3
Views
3K
What is the intensity of sound 2?
Replies
1
Views
5K
Calculation for finding distance with regard to sound intensity
Replies
18
Views
3K
Understanding Malus Law and Polaroid Intensity: Conceptual Doubts
Replies
2
Views
2K
Sound intensity of a thunderbolt
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top