00:01
Hello everyone so let's start with a question so in a question we have to find a three longest wavelength for a standing wave where the both the ends are fixed and having it the length of a means the length of a string is two sixty -scentimeter long also we have to find the frequency of third wave that is and we have given the frequency of second wave that is 60 harts so here we have to find the n equal to three that is the three longest well and we have given the length of a string that is two cent two six seven centimeter okay so so convert into meter so it will be 2 .67 meter.
00:33
Okay, so now using the formula for the standing wave.
00:36
So using the formula for standing wave, that is lambda equal to 2l divided by n.
00:53
And here n is what? that is 1 .2 .3.
00:58
For the first wave, that is lambda 1 equal to 2l divided by 1.
01:04
And for the second wave, that is 2l divided by 2.
01:07
And for the third wave that is 2l divided by 3.
01:12
So putting the value of l in the equation, so we get that is lambda 1 equal to 2 multiply by 2 .67 comma, lambda 2 is what? 2 .67 and lambda 3 is what? 2 multiply by 2 .67 divided by 3.
01:30
After solving this we get the value of lambda 1 that is 5 .34 meter.
01:38
We get the value of lambda 2 that is 2...