or02- natasha chandri egieara

EXPERIMENT REPORT

Laser Wavelength Measurement

Name : Natasha Chandri Egieara

NPM : 1306436741

Faculty : Faculty of Engineering

Major : Metallurgy & Materials Engineering

Experiment Code & Name : OR02 – Laser Wavelength Measurement

Experiment Week : Week 5

Experiment Date : 28/03/14

Unit Pelaksana Pendidikan Ilmu Pengetahuan Dasar

(UPP-IPD)

Universitas Indonesia

Depok

1. Experiment Objective

To measure the wavelength of laser light using diffraction grating.

2. Equipments

• Laser device and power supply • Single slit automatic selector device • Photodiode detector scanner device • Camcorders • DAQ and its PC unit and automatic control devices

3. Principles

Beam with a wavelength λ which passed on a narrow slit with a width will undergo diffraction. This diffraction pattern can be viewed on screen or measured with a light sensor . If the distance between the slits to the screen is much larger than the slit width ( L » a) , then the file is up on the screen can be considered parallel . In a single slit diffraction , dark pattern ( minimum intensity ) will occur if the file path length difference (a sin θ ) between the top beam and bottom beam of λ , 2λ , 3λ , etc. , ( Fig. 1 ) . Thus dark pattern that occurs due to the diffraction of single slit can be expressed by: with n = 1 , 2 , 3 , ... ( 1 )

Fig.1 . Diagram of the single slit diffraction 4. Procedure Experimental measurements of the wavelength of laser light using diffraction grating on rLab This can be done by clicking on the link button on the page rLab schedule . Step experimental work should follow the prescribed procedure . RLab equipment

setup takes place automatically when the practitioner carry out work procedures and the steps are as follows:

1) Activating the webcam (video icon) 2) Clicking the ‘set’ button on the grating 3) Turning on the power supply laser button 4) Clicking the measure button to scan the diffraction pattern

5. Task & Evaluation Using the obtained experimental data , create graphs intensity diffraction patterns ( I, on the experiment expressed in current as a function of position ( x ) , I vs. x ) . Based on the obtained spectrum , specify the location of the center of the light , the minimum intensity of the first order ( n = 1 ) , the 2nd order ( n = 2 ) , 3rd order ( n = 3 ) , and so on . then give the order number on any minimum intensity of the diffraction pattern . Calculate the minimum distance between two first-order ( n = 1 ) , the minimum order for two - 2 ( n = 2 ) and so on . Compute θ by definition as in Fig.1 . Calculate the width of a slit with a graphical method . Make a graph of sin θ vs . n . In this experiment we have used laser λ = ( 650 ± 10 ) nm . Give the analysis and discuss the results of this experiment .

6. Observational Data No Position (mm) Intensitas

1 0 0.07

2 0.44 0.06

3 0.88 0.06

4 1.32 0.07

5 1.76 0.05

6 2.2 0.06

7 2.64 0.07

8 3.08 0.05

9 3.52 0.07

10 3.96 0.06

11 4.4 0.06

12 4.84 0.07

13 5.28 0.06

14 5.72 0.06

15 6.16 0.07

16 6.6 0.05

17 7.04 0.06

18 7.48 0.07

19 7.92 0.05

20 8.36 0.07

21 8.8 0.06

22 9.24 0.06

23 9.68 0.07

24 10.12 0.06

25 10.56 0.06

26 11 0.07

27 11.44 0.05

28 11.88 0.06

29 12.32 0.07

30 12.76 0.05

31 13.2 0.07

32 13.64 0.06

33 14.08 0.06

34 14.52 0.07

35 14.96 0.06

36 15.4 0.06

37 15.84 0.07

38 16.28 0.05

39 16.72 0.06

40 17.16 0.07

41 17.6 0.05

42 18.04 0.07

43 18.48 0.06

44 18.92 0.06

45 19.36 0.07

46 19.8 0.06

47 20.24 0.06

48 20.68 0.07

49 21.12 0.06

50 21.56 0.06

51 22 0.07

52 22.44 0.05

53 22.88 0.07

54 23.32 0.06

55 23.76 0.06

56 24.2 0.07

57 24.64 0.06

58 25.08 0.06

59 25.52 0.07

60 25.96 0.06

61 26.4 0.06

62 26.84 0.07

63 27.28 0.05

64 27.72 0.07

65 28.16 0.06

66 28.6 0.06

67 29.04 0.07

68 29.48 0.06

69 29.92 0.06

70 30.36 0.07

71 30.8 0.05

72 31.24 0.06

73 31.68 0.07

74 32.12 0.05

75 32.56 0.07

76 33 0.06

77 33.44 0.06

78 33.88 0.07

79 34.32 0.06

80 34.76 0.06

81 35.2 0.07

82 35.64 0.06

83 36.08 0.06

84 36.52 0.07

85 36.96 0.05

86 37.4 0.07

87 37.84 0.06

88 38.28 0.06

89 38.72 0.07

90 39.16 0.06

91 39.6 0.06

92 40.04 0.07

93 40.48 0.06

94 40.92 0.06

95 41.36 0.07

96 41.8 0.05

97 42.24 0.07

98 42.68 0.06

99 43.12 0.06

100 43.56 0.07

101 44 0.06

102 44.44 0.06

103 44.88 0.07

104 45.32 0.06

105 45.76 0.06

106 46.2 0.07

107 46.64 0.05

108 47.08 0.07

109 47.52 0.06

110 47.96 0.06

111 48.4 0.07

112 48.84 0.06

113 49.28 0.06

114 49.72 0.07

115 50.16 0.06

116 50.6 0.06

117 51.04 0.07

118 51.48 0.05

119 51.92 0.07

120 52.36 0.06

121 52.8 0.06

122 53.24 0.07

123 53.68 0.06

124 54.12 0.06

125 54.56 0.07

126 55 0.06

127 55.44 0.06

128 55.88 0.07

129 56.32 0.05

130 56.76 0.06

131 57.2 0.07

132 57.64 0.06

133 58.08 0.07

134 58.52 0.06

135 58.96 0.06

136 59.4 0.07

137 59.84 0.06

138 60.28 0.06

139 60.72 0.07

140 61.16 0.05

141 61.6 0.07

142 62.04 0.07

143 62.48 0.05

144 62.92 0.07

145 63.36 0.06

146 63.8 0.06

147 64.24 0.07

148 64.68 0.06

149 65.12 0.06

150 65.56 0.07

151 66 0.05

152 66.44 0.06

153 66.88 0.07

154 67.32 0.05

155 67.76 0.07

156 68.2 0.06

157 68.64 0.06

158 69.08 0.07

159 69.52 0.06

160 69.96 0.06

161 70.4 0.07

162 70.84 0.05

163 71.28 0.06

164 71.72 0.07

165 72.16 0.06

166 72.6 0.07

167 73.04 0.06

168 73.48 0.06

169 73.92 0.07

170 74.36 0.06

171 74.8 0.06

172 75.24 0.07

173 75.68 0.05

174 76.12 0.06

175 76.56 0.07

176 77 0.05

177 77.44 0.07

178 77.88 0.06

179 78.32 0.06

180 78.76 0.07

181 79.2 0.06

182 79.64 0.06

183 80.08 0.07

184 80.52 0.05

185 80.96 0.06

186 81.4 0.07

187 81.84 0.05

188 82.28 0.07

189 82.72 0.06

190 83.16 0.06

191 83.6 0.07

192 84.04 0.06

193 84.48 0.06

194 84.92 0.07

195 85.36 0.06

196 85.8 0.06

197 86.24 0.07

198 86.68 0.06

199 87.12 0.07

200 87.56 0.07

201 88 0.06

202 88.44 0.07

203 88.88 0.06

204 89.32 0.06

205 89.76 0.07

206 90.2 0.06

207 90.64 0.06

208 91.08 0.07

209 91.52 0.05

210 91.96 0.07

211 92.4 0.07

212 92.84 0.06

213 93.28 0.07

214 93.72 0.06

215 94.16 0.06

216 94.6 0.07

217 95.04 0.06

218 95.48 0.06

219 95.92 0.07

220 96.36 0.05

221 96.8 0.07

222 97.24 0.07

223 97.68 0.06

224 98.12 0.07

225 98.56 0.06

226 99 0.06

227 99.44 0.07

228 99.88 0.06

229 100.32 0.07

230 100.76 0.07

231 101.2 0.06

232 101.64 0.07

233 102.08 0.07

234 102.52 0.06

235 102.96 0.07

236 103.4 0.06

237 103.84 0.06

238 104.28 0.07

239 104.72 0.06

240 105.16 0.06

241 105.6 0.07

242 106.04 0.06

243 106.48 0.07

244 106.92 0.07

245 107.36 0.06

246 107.8 0.07

247 108.24 0.06

248 108.68 0.06

249 109.12 0.07

250 109.56 0.06

251 110 0.06

252 110.44 0.07

253 110.88 0.06

254 111.32 0.07

255 111.76 0.07

256 112.2 0.06

257 112.64 0.07

258 113.08 0.06

259 113.52 0.06

260 113.96 0.07

261 114.4 0.06

262 114.84 0.06

263 115.28 0.07

264 115.72 0.05

265 116.16 0.07

266 116.6 0.07

267 117.04 0.06

268 117.48 0.07

269 117.92 0.06

270 118.36 0.06

271 118.8 0.07

272 119.24 0.06

273 119.68 0.06

274 120.12 0.07

275 120.56 0.05

276 121 0.07

277 121.44 0.07

278 121.88 0.06

279 122.32 0.07

280 122.76 0.06

281 123.2 0.06

282 123.64 0.07

283 124.08 0.06

284 124.52 0.06

285 124.96 0.07

286 125.4 0.06

287 125.84 0.06

288 126.28 0.07

289 126.72 0.06

290 127.16 0.07

291 127.6 0.07

292 128.04 0.06

293 128.48 0.07

294 128.92 0.06

295 129.36 0.06

296 129.8 0.07

297 130.24 0.06

298 130.68 0.07

299 131.12 0.07

300 131.56 0.06

301 132 0.07

302 132.44 0.06

303 132.88 0.06

304 133.32 0.07

305 133.76 0.06

306 134.2 0.06

307 134.64 0.07

308 135.08 0.06

309 135.52 0.07

310 135.96 0.07

311 136.4 0.06

312 136.84 0.07

313 137.28 0.07

314 137.72 0.06

315 138.16 0.07

316 138.6 0.06

317 139.04 0.06

318 139.48 0.07

319 139.92 0.06

320 140.36 0.07

321 140.8 0.07

322 141.24 0.06

323 141.68 0.07

324 142.12 0.07

325 142.56 0.06

326 143 0.07

327 143.44 0.06

328 143.88 0.06

329 144.32 0.07

330 144.76 0.06

331 145.2 0.07

332 145.64 0.07

333 146.08 0.06

334 146.52 0.07

335 146.96 0.07

336 147.4 0.06

337 147.84 0.07

338 148.28 0.07

339 148.72 0.06

340 149.16 0.08

341 149.6 0.06

342 150.04 0.07

343 150.48 0.07

344 150.92 0.06

345 151.36 0.07

346 151.8 0.07

347 152.24 0.06

348 152.68 0.08

349 153.12 0.07

350 153.56 0.07

351 154 0.08

352 154.44 0.07

353 154.88 0.07

354 155.32 0.08

355 155.76 0.06

356 156.2 0.07

357 156.64 0.08

358 157.08 0.07

359 157.52 0.08

360 157.96 0.07

361 158.4 0.07

362 158.84 0.08

363 159.28 0.07

364 159.72 0.07

365 160.16 0.08

366 160.6 0.07

367 161.04 0.08

368 161.48 0.08

369 161.92 0.07

370 162.36 0.09

371 162.8 0.09

372 163.24 0.08

373 163.68 0.1

374 164.12 0.09

375 164.56 0.09

376 165 0.1

377 165.44 0.08

378 165.88 0.09

379 166.32 0.1

380 166.76 0.08

381 167.2 0.1

382 167.64 0.1

383 168.08 0.1

384 168.52 0.11

385 168.96 0.11

386 169.4 0.12

387 169.84 0.14

388 170.28 0.13

389 170.72 0.14

390 171.16 0.15

391 171.6 0.14

392 172.04 0.16

393 172.48 0.17

394 172.92 0.17

395 173.36 0.2

396 173.8 0.21

397 174.24 0.24

398 174.68 0.3

399 175.12 0.35

400 175.56 0.44

401 176 0.56

402 176.44 0.67

403 176.88 0.86

404 177.32 1.04

405 177.76 1.25

406 178.2 1.46

407 178.64 1.71

408 179.08 1.94

409 179.52 2.17

410 179.96 2.36

411 180.4 2.54

412 180.84 2.68

413 181.28 2.78

414 181.72 2.84

415 182.16 2.83

416 182.6 2.79

417 183.04 2.65

418 183.48 2.56

419 183.92 2.32

420 184.36 2.14

421 184.8 1.88

422 185.24 1.68

423 185.68 1.41

424 186.12 1.2

425 186.56 0.97

426 187 0.8

427 187.44 0.61

428 187.88 0.5

429 188.32 0.39

430 188.76 0.32

431 189.2 0.28

432 189.64 0.24

433 190.08 0.22

434 190.52 0.23

435 190.96 0.21

436 191.4 0.22

437 191.84 0.22

438 192.28 0.2

439 192.72 0.2

440 193.16 0.19

441 193.6 0.16

442 194.04 0.16

443 194.48 0.13

444 194.92 0.12

445 195.36 0.12

446 195.8 0.1

447 196.24 0.1

448 196.68 0.11

449 197.12 0.1

450 197.56 0.11

451 198 0.11

452 198.44 0.11

453 198.88 0.12

454 199.32 0.11

455 199.76 0.11

456 200.2 0.11

457 200.64 0.09

458 201.08 0.1

459 201.52 0.09

460 201.96 0.08

461 202.4 0.09

462 202.84 0.08

463 203.28 0.07

464 203.72 0.09

465 204.16 0.08

466 204.6 0.08

467 205.04 0.1

468 205.48 0.08

469 205.92 0.09

470 206.36 0.1

471 206.8 0.08

472 207.24 0.09

473 207.68 0.09

474 208.12 0.08

475 208.56 0.08

476 209 0.07

477 209.44 0.07

478 209.88 0.08

479 210.32 0.07

480 210.76 0.08

481 211.2 0.08

482 211.64 0.07

483 212.08 0.08

484 212.52 0.08

485 212.96 0.08

486 213.4 0.09

487 213.84 0.08

488 214.28 0.08

489 214.72 0.09

490 215.16 0.07

491 215.6 0.07

492 216.04 0.08

493 216.48 0.06

494 216.92 0.07

495 217.36 0.07

496 217.8 0.06

497 218.24 0.08

498 218.68 0.08

499 219.12 0.07

500 219.56 0.08

501 220 0.07

502 220.44 0.08

503 220.88 0.08

504 221.32 0.07

505 221.76 0.08

506 222.2 0.08

507 222.64 0.07

508 223.08 0.08

509 223.52 0.07

510 223.96 0.06

511 224.4 0.08

512 224.84 0.07

513 225.28 0.07

514 225.72 0.08

515 226.16 0.06

516 226.6 0.08

517 227.04 0.08

518 227.48 0.07

519 227.92 0.08

520 228.36 0.08

521 228.8 0.07

522 229.24 0.08

523 229.68 0.07

524 230.12 0.07

525 230.56 0.08

526 231 0.06

527 231.44 0.07

528 231.88 0.07

529 232.32 0.06

530 232.76 0.08

531 233.2 0.07

532 233.64 0.07

533 234.08 0.08

534 234.52 0.07

535 234.96 0.07

536 235.4 0.08

537 235.84 0.07

538 236.28 0.07

539 236.72 0.08

540 237.16 0.06

541 237.6 0.07

542 238.04 0.07

543 238.48 0.06

544 238.92 0.08

545 239.36 0.07

546 239.8 0.07

547 240.24 0.08

548 240.68 0.07

549 241.12 0.07

550 241.56 0.08

551 242 0.06

552 242.44 0.08

553 242.88 0.07

554 243.32 0.06

555 243.76 0.08

556 244.2 0.07

557 244.64 0.06

558 245.08 0.08

559 245.52 0.06

560 245.96 0.07

561 246.4 0.08

562 246.84 0.06

563 247.28 0.07

564 247.72 0.07

565 248.16 0.06

566 248.6 0.08

567 249.04 0.07

568 249.48 0.07

569 249.92 0.08

570 250.36 0.07

571 250.8 0.07

572 251.24 0.08

573 251.68 0.06

574 252.12 0.07

575 252.56 0.07

576 253 0.06

577 253.44 0.07

578 253.88 0.07

579 254.32 0.06

580 254.76 0.08

581 255.2 0.07

582 255.64 0.07

583 256.08 0.08

584 256.52 0.06

585 256.96 0.07

586 257.4 0.07

587 257.84 0.06

588 258.28 0.07

589 258.72 0.07

590 259.16 0.06

591 259.6 0.07

592 260.04 0.07

593 260.48 0.06

594 260.92 0.08

595 261.36 0.06

596 261.8 0.07

597 262.24 0.07

598 262.68 0.06

599 263.12 0.07

600 263.56 0.07

601 264 0.06

602 264.44 0.07

603 264.88 0.06

604 265.32 0.06

605 265.76 0.07

606 266.2 0.06

607 266.64 0.07

608 267.08 0.07

609 267.52 0.06

610 267.96 0.07

611 268.4 0.07

612 268.84 0.06

613 269.28 0.07

614 269.72 0.07

615 270.16 0.06

616 270.6 0.07

617 271.04 0.06

618 271.48 0.07

619 271.92 0.07

620 272.36 0.06

621 272.8 0.07

622 273.24 0.07

623 273.68 0.06

624 274.12 0.07

625 274.56 0.07

626 275 0.06

627 275.44 0.07

628 275.88 0.06

629 276.32 0.06

630 276.76 0.07

631 277.2 0.06

632 277.64 0.07

633 278.08 0.07

634 278.52 0.06

635 278.96 0.07

636 279.4 0.07

637 279.84 0.06

638 280.28 0.07

639 280.72 0.06

640 281.16 0.06

641 281.6 0.07

642 282.04 0.06

643 282.48 0.07

644 282.92 0.07

645 283.36 0.06

646 283.8 0.07

647 284.24 0.07

648 284.68 0.06

649 285.12 0.07

650 285.56 0.06

651 286 0.06

652 286.44 0.07

653 286.88 0.06

654 287.32 0.06

655 287.76 0.07

656 288.2 0.05

657 288.64 0.07

658 289.08 0.07

659 289.52 0.06

660 289.96 0.07

661 290.4 0.06

662 290.84 0.06

663 291.28 0.07

664 291.72 0.06

665 292.16 0.06

666 292.6 0.07

667 293.04 0.05

668 293.48 0.07

669 293.92 0.06

670 294.36 0.06

671 294.8 0.07

672 295.24 0.06

673 295.68 0.06

674 296.12 0.07

675 296.56 0.06

676 297 0.06

677 297.44 0.07

678 297.88 0.06

679 298.32 0.06

680 298.76 0.07

681 299.2 0.06

682 299.64 0.07

683 300.08 0.06

684 300.52 0.06

685 300.96 0.07

686 301.4 0.06

687 301.84 0.06

688 302.28 0.07

689 302.72 0.05

690 303.16 0.06

691 303.6 0.07

692 304.04 0.06

693 304.48 0.07

694 304.92 0.06

695 305.36 0.06

696 305.8 0.07

697 306.24 0.06

698 306.68 0.06

699 307.12 0.07

700 307.56 0.05

701 308 0.06

702 308.44 0.07

703 308.88 0.05

704 309.32 0.07

705 309.76 0.06

706 310.2 0.06

707 310.64 0.07

708 311.08 0.06

709 311.52 0.06

710 311.96 0.07

711 312.4 0.06

712 312.84 0.06

713 313.28 0.07

714 313.72 0.05

715 314.16 0.07

716 314.6 0.06

717 315.04 0.06

718 315.48 0.07

719 315.92 0.06

720 316.36 0.06

721 316.8 0.07

722 317.24 0.06

723 317.68 0.06

724 318.12 0.07

725 318.56 0.05

726 319 0.07

727 319.44 0.06

728 319.88 0.06

729 320.32 0.07

730 320.76 0.06

731 321.2 0.06

732 321.64 0.07

733 322.08 0.06

734 322.52 0.06

735 322.96 0.07

736 323.4 0.05

737 323.84 0.06

738 324.28 0.06

739 324.72 0.05

740 325.16 0.07

741 325.6 0.06

742 326.04 0.06

743 326.48 0.07

744 326.92 0.06

745 327.36 0.06

746 327.8 0.07

747 328.24 0.05

748 328.68 0.06

749 329.12 0.07

750 329.56 0.05

751 330 0.07

752 330.44 0.06

753 330.88 0.06

754 331.32 0.07

755 331.76 0.06

756 332.2 0.06

757 332.64 0.07

758 333.08 0.05

759 333.52 0.06

760 333.96 0.07

761 334.4 0.05

762 334.84 0.07

763 335.28 0.06

764 335.72 0.06

765 336.16 0.07

766 336.6 0.06

767 337.04 0.06

768 337.48 0.07

769 337.92 0.06

770 338.36 0.06

771 338.8 0.07

772 339.24 0.05

773 339.68 0.06

774 340.12 0.06

775 340.56 0.06

776 341 0.07

777 341.44 0.06

778 341.88 0.06

779 342.32 0.07

780 342.76 0.06

781 343.2 0.06

782 343.64 0.07

783 344.08 0.05

784 344.52 0.06

785 344.96 0.06

786 345.4 0.06

787 345.84 0.07

788 346.28 0.06

789 346.72 0.06

790 347.16 0.07

791 347.6 0.06

792 348.04 0.06

793 348.48 0.07

794 348.92 0.05

795 349.36 0.06

796 349.8 0.07

797 350.24 0.05

798 350.68 0.07

799 351.12 0.06

800 351.56 0.06

801 352 0.07

802 352.44 0.06

803 352.88 0.06

804 353.32 0.07

805 353.76 0.05

806 354.2 0.06

807 354.64 0.06

808 355.08 0.05

809 355.52 0.07

810 355.96 0.06

811 356.4 0.05

812 356.84 0.07

813 357.28 0.06

814 357.72 0.06

815 358.16 0.07

816 358.6 0.05

817 359.04 0.06

7. Data Evaluation Graph of diffraction pattern intensity that showed the relation between I as a function of position (x), (I vs x)

In this experiment, we are required to find the position of the center of the brightest luminous (m=0), maximum intensity of first order (m=1), second order (m=2), third order (m=3). Each ten data from all of the highest value of intensity experimental data obtained can be used and ten datas are used in order to make the calculation less complicated. Position for center of the brightest luminous From the table, we get the data: No X Y XY

413 179.96 2.36 424.7056

414 180.4 2.54 458.216

415 180.84 2.68 484.6512

416 181.28 2.78 503.9584

417 181.72 2.84 516.0848

418 182.16 2.83 515.5128

419 182.6 2.79 509.454

420 183.04 2.65 485.056

421 183.48 2.56 469.7088

422 183.92 2.32 426.6944

Σ 1819.4

26.35

4794.042

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = ∑𝑝𝑜𝑠𝑖𝑡𝑖𝑜𝑛

𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑎𝑡𝑎

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = 1819.410

= 181.94 mm Position for the first order (m=1) The intensity point of the first order has two position; left and right thus the one on the right of the center of the brightest luminous. To determine the intensity position at the first order at the left of the brightest luminous: No x y xy

403 175.56 0.44 77.2464

404 176 0.56 98.56

405 176.44 0.67 118.2148

406 176.88 0.86 152.1168

407 177.32 1.04 184.4128

408 177.76 1.25 222.2

409 178.2 1.46 260.172

410 178.64 1.71 305.4744

411 179.08 1.94 347.4152

412

179.52 2.17 389.5584

Σ 1775.4

12.1

2155.3708

From this, we use the sum of position to predict the proper position for the center of the brightest luminous. 𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = ∑!"#$%$"&

!"#$%& !" !"#"

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = !""#.!

!"

= 177.54 𝑚𝑚 To determine the intensity position at the first order at the right of the brightest luminous: No X Y XY

423 184.36 2.14 394.5304

424 184.8 1.88 347.424

425 185.24 1.68 311.2032

426 185.68 1.41 261.8088

427 186.12 1.2 223.344

428 186.56 0.97 180.9632

429 187 0.8 149.6

430 187.44 0.61 114.3384

431 187.88 0.5 93.94

432 188.32 0.39 73.4448

Σ 1863.4 11.58 2150.5968


!"#$%& !" !"#"

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = !"#$.!

!"

= 186.34 𝑚𝑚 Position for order m=2 The intensity point of the first order has two position; left and right thus the one on the right of the center of the brightest luminous. To determine the intensity position at the second order at the left of the brightest luminous: No X Y XY

433 188.76 0.32 60.4032

434 189.2 0.28 52.976

435 189.64 0.24 45.5136

436 190.08 0.22 41.8176

437 190.52 0.23 43.8196

438 190.96 0.21 40.1016

439 191.4 0.22 42.108

440 191.84 0.22 42.2048

441 192.28 0.2 38.456

442 192.72 0.2 38.544

Σ 1907.4 2.34 445.9444


!"#$%& !" !"#"


!"


443 193.16 0.19 36.7004

444 193.6 0.16 30.976

445 194.04 0.16 31.0464

446 194.48 0.13 25.2824

447 194.92 0.12 23.3904

448 195.36 0.12 23.4432

449 195.8 0.1 19.58

450 196.24 0.1 19.624

451 196.68 0.11 21.6348

452 197.12 0.1 19.712

Σ 1951.4 1.29 251.3896


!"#$%& !" !"#"

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = !"#!.!

!"

= 195.14 𝑚𝑚 Position for order m=3 The intensity point of the first order has two position; left and right thus the one on the right of the center of the brightest luminous. To determine the intensity position at the third order at the left of the brightest luminous: No X Y XY

393 171.16 0.15 25.674

394 171.6 0.14 24.024

395 172.04 0.16 27.5264

396 172.48 0.17 29.3216

397 172.92 0.17 29.3964

398 173.36 0.2 34.672

399 173.8 0.21 36.498

400 174.24 0.24 41.8176

401 174.68 0.3 52.404

402 175.12 0.35 61.292

Σ 1731.4 2.09 362.626


!"#$%& !" !"#"

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = !"#!.!

!"


453 197.56 0.11 21.7316

454 198 0.11 21.78

455 198.44 0.11 21.8284

456 198.88 0.12 23.8656

457 199.32 0.11 21.9252

458 199.76 0.11 21.9736

459 200.2 0.11 22.022

460 200.64 0.09 18.0576

461 201.08 0.1 20.108

462 201.52 0.09 18.1368

Σ 1995.4 1.06 211.4288


!"#$%& !" !"#"

𝑃𝑜𝑠𝑖𝑡𝑖𝑜𝑛 = !""#.!

!"

= 199.54 𝑚𝑚 Position for order m=4 The intensity point of the first order has two position; left and right thus the one on the right of the center of the brightest luminous but in this case, only the left side has obtainable values. To determine the intensity position at the fourth order at the left of the brightest luminous: No X Y XY

383 166.76 0.08 13.3408

384 167.2 0.1 16.72

385 167.64 0.1 16.764

386 168.08 0.1 16.808

387 168.52 0.11 18.5372

388 168.96 0.11 18.5856

389 169.4 0.12 20.328

390 169.84 0.14 23.7776

391 170.28 0.13 22.1364

392 170.72 0.14 23.9008

Σ 1687.4 1.13 190.8984


!"#$%& !" !"#"


!"

= 168.74 𝑚𝑚 The distance between the center of the brigthtest luminous and maximum intensity is: No Order Centre

(mm) Read distance (mm)

Distance (mm)

1 Center of the brightest luminous 181.94 181.94 0

2 Orde 1 181.94

177.54 4.4

186.34 4.4

3 Orde 2 181.94 190.74 8.8

195.14 13.2

4 Orde 3 181.94 173.14 8.8

199.54 17.6

5 Orde 4 181.94 168.74 13.2

To find the diffraction angle in each of the orders obtained, this formula is used:

sin 𝜃 = !!!!(!)!

The unit used in this experiment is millimeter and the formula is notated by x which is the distance and L is the distance between diffraction order and the screen and it has a constant value of 1473.12 1st Order: x = 4.4 mm L = 1473.12 mm

sin 𝜃 = !!!!(!)!

sin 𝜃 = !.!!"#$.!" !!(!.!)!

θ = 0.188° 2nd Order Where x = 13.2 mm L = 1473.12 mm

sin 𝜃 = !!!!(!)!

sin 𝜃 = !".!!"#$.!" !!(!".!)!

θ = 0.510° 3rd Order Where x = 17.6 mm L = 1473.12 mm

sin 𝜃 = !!!!(!)!

sin 𝜃 = !".!!"#$.!" !!(!".!)!

θ = 0.628°

From sin theta graph : = 𝑔𝑟𝑎𝑑𝑖𝑒𝑛𝑡 𝑥 𝑑 𝜆 = 0.82601 (0.02) 𝜆 = 0.0165202 𝑚𝑚 From Tan Theta graph : 𝜆 = 0.83720 0.02 𝜆 = 0.016744 𝑚𝑚 𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑀𝑖𝑠𝑡𝑎𝑘𝑒 = ! !".!! ! !".!

! !".! 𝑥 100%

𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑀𝑖𝑠𝑡𝑎𝑘𝑒 = !.!"#$%%! !.!"#$%!%!.!"#$%!%

𝑥 100% 𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑀𝑖𝑠𝑡𝑎𝑘𝑒 = 1.35%

8. Data Analysis

or02- natasha chandri egieara

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