00:01
Hi, in this question there are several sub parts.
00:03
So, in the first part we have the speed of the wave or speed of the sound wave is lowest in air.
00:10
So, since the particles are far away from each other.
00:13
So, there is a sound waves traveling in air is slow.
00:16
In the second part of the question we have.
00:20
So, we have to find the velocity.
00:23
So, v for t is equal to minus 40 degree celsius and t is equal to minus 80 degree celsius.
00:31
So, we have the formula for the velocity as it is speed of the sound plus 0 .607 into t.
00:39
So, now, for the first case we have v is equal to 331 plus 0 .607 into minus 40 degree which is equal to.
00:48
So, answer is speed of the sound is it is 307 meter per second.
00:54
Then in the second part of the question we have v is equal to 331 plus 0 .607 into minus 80 degree which is equal to.
01:06
So, this is equal to 380 meter per second.
01:10
Then for the third question we have.
01:13
So, we have the time taken by the.
01:15
So, time taken by the wave to travel the length of the tube is t is equal to it is 0 .079.
01:23
So, 0079 divided by 2 which is equal to 0 .00395 second.
01:29
So, we can get the length of the tube as it is v into t that is speed given is 3344 into 0 .0395 which is equal to.
01:39
So, length of the tube is 1 .36 meters.
01:42
Then in the fourth part of the question we have the frequency of the wave has to be found out.
01:47
So, given the time t.
01:49
So, this is 1 by 3 into 10 power minus 3.
01:52
So, frequency will be equal to it is 333 hertz.
01:58
In the fourth part of the question we have the relation between temperature and the speed of the sound.
02:02
So, it is directly proportional.
02:04
Therefore, as this temperature increases speed of the sound also increases.
02:08
Therefore, speed of the sound increases.
02:12
Then in the next part of the question we have.
02:16
So, we have a harmonic wave with speed and wavelength is given.
02:22
So, we have to find time period.
02:24
So, we know that wave equation is given by v is equal to f lambda.
02:27
So, substituting for f we have v by lambda.
02:30
So, f is nothing, but it is 1 by t which is equal to v by lambda or time period will be equal to lambda divided by v which is the reciprocal of this term.
02:41
Now, on substituting the values we have lambda as.
02:44
So, lambda is given by 0 .8 meters divided by speed is 200.
02:50
So, we have the answer for the time period is 0 .004 seconds or 4 milliseconds.
02:57
Then in the next part we have.
03:00
So, we have given with a formulas.
03:04
So, we first let us find the reduce first we shall find the mass per unit length that is m by l.
03:10
So, mass is given as 700 grams...