00:01
Hi, in the first part of the question by heat energy equation we have k into a into delta t divided by l where k is the thermal conductivity, a is the area of cross section, delta t is the temperature, l is the length of the rod.
00:15
So now we have to find area of cross section a which is equal to pi into r square.
00:20
So we have diameter of the rod is 0 .02 meter.
00:25
So radius of the rod will be 0 .01 whole square.
00:29
So into pi.
00:30
So then we have k is equal to, so we have to find the thermal conductivity.
00:35
So k will be equal to q into l.
00:40
So q into l divided by a into delta t.
00:45
So q into l can be written as a into delta x divided by a into delta t.
00:49
So on substituting the value we have 100 watt into delta x is the compression length.
00:55
So or the length of the rod which is 0 .04 meter, area of cross section is pi into 0 .01 whole square into change in temperature is 31 .75.
01:08
So by this calculation we have thermal conductivity is equal to 401 watt per millimeter kelvin.
01:18
Then in the second part of the question we have q is equal to ha into delta t where q is the heat transfer.
01:27
So we have, so we have heater energy is given as it is p into efficiency.
01:34
So we have 1 into 10 power 3 into 0 .95.
01:39
Now we have, so we have to find the delta t...