IPhO 2017 Problem 4

Physics

Problem

Experiment E1 English (Official) D 1. 2. page 1 of 8 Experiment E1 English (Official) 1. λ 2. 3. 4. 5. 6. 7. 8. page 2 of 8 Experiment E1 English (Official) 9. 10. 11. 12. 13. page 3 of 8 Experiment E1 English (Official) page 4 of 8 Experiment E1 English (Official) ξ Y δ dn/dY ξZ Y = i 0 i Z0+d+Z Z Z d 0 Z 0 d ( dn ) = δ i dY i Zd page 5 of 8 Experiment E1 English (Official) Z Z0 Z Z 0 C C 0 0 C 0 t Z d Z 0 ξ i δ i i t Z d Z 0 ξ i δ i Z d Z 0 dn Y i ( dY ) i page 6 of 8 Experiment E1 English (Official) t Z d Z 0 dn ( dY ) i Y i t dn Determine the Y i at ( dY ) i maximum obtained from question A3. Assign this Y as h. i page 7 of 8 Experiment E1 English (Official) dn dn dC ( ) = ( )( ) dY i dC dY i ( dC ) ≈ Co e − (h− 4D Yi t )2 dY i 2√πDt C C 0 D t h Y i (dn/dY) (dn/dC) (dn/dY)i Y i dn f ( ) g(Y) dY dn f ( ) g(Y) dY D t D C dn dY page 8 of 8

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