00:01
Here it is given that a straight rod consisting of 1 .2 centimeter of aluminium, were added to 2 .0 centimeter long piece of steel, so that we have to find the change in length of the rod while increased temperature from 20 degrees celsius to 40 degrees celsius.
00:30
So let us see first the concept behind this.
00:34
So let's suppose this is nothing but what the aluminium rot of 1 .20 centimetre length or we can convert in meter as 0 .01 to meter.
00:48
It is connected to one end of the steel which is having the length of 2 .0 centimetre converted in meter as comes out 0 .02 meter.
01:04
Right.
01:05
Now, when the temperature is increasing from 20 to 40 degrees celsius, we have to find the change in length, that is delta l in centimeter.
01:16
So first of all, if we talk about the formula which we are going to use here is the change in length is given by delta l equals to the alpha times of l.
01:25
I into delta t where alpha is the temperature coefficient constant okay now if you talk about the value of alpha so value of alpha for the aluminium is 23 into 10 rest to 6 10 to minus of 6 per calvin and similarly the value of alpha for steel is 12 into 10 to 10 to minus of 6 per calvin and similarly the value of alpha for steel is 12 10 rest 2 minus 6 per calvin.
02:01
So now here we can simply substitute the value.
02:04
But before of that, let us calculate the change in temperature...