1 a) A standing wave of frequency 5 hertz is set up on a string 2 meters long wi
ID: 1682647 • Letter: 1
Question
1 a) A standing wave of frequency 5 hertz is set up on a string 2 meters long with nodes at both ends and in the center. Find the speed at which waves propagate on the string.1. 2.5 m/s 2. 10 m/s 3. 0.4 m/s 4. 20 m/s 5. 5 m/s b) ind the fundamental frequency of vibration of the string. 1. 7.5 Hz 2. 5 Hz 3. 1 Hz 4. 10 Hz 5. 2.5 Hz 1 a) A standing wave of frequency 5 hertz is set up on a string 2 meters long with nodes at both ends and in the center. Find the speed at which waves propagate on the string.
1. 2.5 m/s 2. 10 m/s 3. 0.4 m/s 4. 20 m/s 5. 5 m/s b) ind the fundamental frequency of vibration of the string. 1. 7.5 Hz 2. 5 Hz 3. 1 Hz 4. 10 Hz 5. 2.5 Hz
Explanation / Answer
As we know that distance between the adjacent nodes is half of the wavelength in a standing wave.Here in this standing wave we have three nodes. That is two loops are formed.
Length of the string is l =2 m
frequency f =5hz
a)
Let the wave length of the wave be Then (/2)+(/2) = l Then =l =2 m Then speed of the wave is v =f =(5Hz)(2m) =10 m/s Option 2 is correct
b) For the fundamental frequency we have only one loop and two nodes are formed at the ends. Then distance between the two nodes is half the wavelength Then /2 = l =2l=2(2m)=4m Then fundamental frequency is f=v/ = 10m/s / 4m = 2.5Hz
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