9 In an experiment the luminous flow from a bulb H was recor
9. In an experiment, the luminous flow from a bulb H was recorded as a function of the bulb temperature T. Results are presented in the table. emperature T. Resueresented inthe table T, K9 9501150 135015501750 1950 2150 2350 2550 2750 H.Lm | 0.96 | 2.7 | 6.0 | 13 | 24 | 42 | 67 | 196 | 161 | 238
Solution
When we graph and check we find that the two are exponentially related.
Hence we take ln Hlm = y and ln Tk =x
Prepare table as follows:
Hence we have ln H.lm = -35.447+5.169ln TK
Or H.lm = e-35.447(TK)5.169
H.lm = 4.047 (TK)5.169x 10-16
| TK | 950 | 1150 | 1350 | 1550 | 1750 | 1950 | 2150 | 2350 | 2550 | 2750 |
| H.Lm | 0.96 | 2.7 | 6 | 13 | 24 | 42 | 67 | 106 | 161 | 238 |
| ln TK | 6.856462 | 7.047517 | 7.20786 | 7.34601 | 7.467371 | 7.575585 | 7.673223 | 7.762171 | 7.843849 | 7.919356 |
| ln H;lm | -0.04082 | 0.993252 | 1.791759 | 2.564949 | 3.178054 | 3.73767 | 4.204693 | 4.663439 | 5.081404 | 5.472271 |
