Standing Waves: 2m, 1m, 4m, 1.5m, 67cm - Which Doesn't Fit?

AI Thread Summary
In the discussion about standing waves on a 12m rope, participants analyze which wavelengths can exist alongside 2m and 1m wavelengths. The formula used is 2L/n = lambda, where L is the length of the rope and n is a natural number. The consensus is that 2.5m cannot be a standing wave wavelength because it does not yield a natural number solution when applied to the formula. Other wavelengths mentioned, such as 4m, 1.5m, and 67cm, do fit the criteria for standing waves. Therefore, 2.5m is identified as the wavelength that does not fit.
jan2905
Messages
41
Reaction score
0
If two of the wavelengths of standing waves on a 12m rope secured at both ends are 2m and 1m, which of the following COULD NOT be a standing wave wavelength on the same rope with the same tension?

4m, 2.5m, 1.5m, or 67cm.


2L/n=lamda



I said 2.5m because this does not give an natural number solution to the formula. Is this correct?
 
Physics news on Phys.org
Correct. It would not be a fundamental evenly divisible into the length.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Standing waves on string with increasing tension
Replies
3
Views
7K
Tension in a rope, wavelengths, etc. I
Replies
8
Views
12K
Where to Stand in a Water Tank Experiment to Experience Minimal Wave Action?
Replies
3
Views
4K
Find two lowest frequencies standing wave
Replies
5
Views
6K
Standing Wave Wavelengths on 12m Rope: 2m, 1m & 5.5m
Replies
2
Views
5K
Changing wavelength with changing tension
Replies
1
Views
3K
Standing wave transverse motion and amplitude
Replies
5
Views
2K
Standing Waves (Instruments) & Interference interpretation?
Replies
6
Views
2K
Calculating the length of a string from a standing wave
Replies
4
Views
2K
Standing Waves: Synchronization between a Tube & a Stick
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top