Introduction:
In this experiment, 4 different LEDs were used in order to make measurements to experimentally determine the value of Planck's constant, 6.626 * 10^-34 J*s.
Data:
Setup:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYah-i1R42U7HhRoOrVYSY0UUd_LYPxRUYJr-W9DnAH_jODs1JYmvwKTZuf8HlYBqkNje50yWf-yiIuvvFeWDBUkReIDdfQF3AZE8Tko7nX9Q8zeTROn3zIGk032dUvo7N5kXiYEy2PpA/s400/IMG_0810.JPG) |
Power supply setup for LEDs |
Initially, we measured the size of the continuous spectra and voltage of a yellow, red, blue, and green LED.
Yellow:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmHOm4TarXLVv2keYHQm052iZi3fgQ5JrDWuLGIl7Kd1_0fRGHjm24fOf8JrN25zpl-_fkrFUpcSfT6_FOktIrEiTOZdkhyDXsrUmeNzc9CPcVBYkK48jeXxGbEeBxTk3k0aLKihUwwHQ/s400/IMG_0807.JPG) |
Yellow LED continuous spectra. |
Red:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghshePGzzf6IWD5pqx70j6To2KdOgSWpM0U3MnW8ymPkebBkwBzh98qPP6Qp_4lPPda2WuJJaHuJgLlDBiV3YwgY9mpIZdPkdPbn3jAdTZxp32RQR4BmmH1rT_idRlmVqv0yz2_q2Ui2M/s400/IMG_0812.JPG) |
Red LED continuous spectra. |
Blue:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFlG-KTqlSoIczKCDuBGkqU87kUfBhaZt7fDJScm3vJrTxtZkEpwM2ddPf5pt0IhnG3l-isL4H7_4gOl2Dpp03H7_mjGPtT94RAPOTgO-4CNS8zD8TZOpHolwD4X0rxl3uYT5CeXGT64g/s400/IMG_0816.JPG) |
Blue LED continuous spectra. |
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisGj7GTLe2WU5CZTDCBv5BXPxaq4I2P2gwnx_hN4fNpJ0uTeosTHpkWqsdcXAQVSIhTNjrmIVUfVFWH1LsT64Kq3aM_RXz_x4WPV2knZiuAMJDoe4-tsgzFmkrnz06EkGA0mQXCZFedV0/s400/IMG_0813.JPG) |
Voltmeter reading of 2.66V for blue LED. |
Green:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjAId6_lI1arkGRTPnS4747vTr0EEkpdW3tJslsZcWFFjYZKHX77T2I2SEI8ZP7Zf_k8cQJRVIoevkIgMjQWYDfbC1ty4N2xq7yejjS2i6NVUDXYdz8B6EyFJ6uqbx0p9jQdD0wJMIPlJw/s400/IMG_0818.JPG) |
Green LED continuous spectra. |
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhERte0r-pT8dCyhCc0ngjW5QxkQyCTAj77cjELFPsQLfY_GiMxziZCEEmJ0a2Q9FFappgGBEtWe0Etulzd6WCPg90yyVluZddGZSZy2QKztgamtTi7oweJW6bXLHzt0pMnU3cIXW4GhaA/s400/IMG_0817.JPG) |
Voltmeter reading of 2.82V for green LED. |
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0FWc83PUh2n_tuik9v-jLUKxnTZRXQPfJY8VnYeS1z74UcVJY_A3LzDbDpmjJrX68zIEbahaohvOKnIi3UyodxigTU2DB5fvxqwPwvZbwzYimbILoZLjiDgmM4_Mo-U8BvqL9S-ch-5M/s400/IMG_0819.JPG) |
Measurements made for LEDs. |
A white LED was then investigated to see its continuous spectra and gather a voltage reading.
White:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2IqMEPPQuGZI9_8g1oKZElF0-rtmDIyK9aSR4K_OTDSudT-m1U1Xw-khOqDozEEX_f3budtt7E6zvIoPtPaAILglq5Sp-0wI7uVMe-HhF7cIdcdkQdJ-5S3_vayvs5IUZsd2M7RCjwVo/s400/IMG_0822.JPG) |
White LED continuous spectra. |
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHa9WdYd_uXamVqxBK15QrecYrCPJdKpQP0ltgtYldhGPiz43rn_zzMLcuWbkJ9O_2tjKpDgewi48Epe-0-IK1wVzy06iPfm1etpjChNrRlteDA73aA4WpZrFtlo8q_U5wgRzMt9Y9tss/s400/IMG_0821.JPG) |
Voltmeter reading of 2.72V for white LED. |
Calculations:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnxiUb2Pgg6_mlRD3xqsLxpZN-WkEuI1NHgNdWPL8hzeXU3os3ZMnI7_VjNf10s3JPX1hPB2KgmQ20ayW5-0h5hceP_dayqykOu1uWFL_IuRDSTjs26KscwuO4shuBVMiMToO_V-qJEYM/s400/IMG_0823.JPG) |
Calculations made for each LED. |
Using the equation E=hf, where c=f*lambda, we can rewrite E=hf as lambda = hc/E. We notice that plotting our wavelength vs. voltage, we get our slope to be our experimental planck's constant value.
Conclusion:
We notice that by graphing, we get a planck's constant value of 1.959 *10^-34, which gives us a percent error of 70.43%, but by calculating by hand, we get a planck's constant value of 6.849 * 10^-34, which gives us a percent error of 3.37%. This tells us that the use of more LEDs could give us much better results for an experimental planck's constant by graphical methods.
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