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Answers_SJPO_2010_Special_Round.pdf

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Answers to Special Round 2010 1. (a) s t 694 . 0 = (b) 1 780 . 0 ÷ = ms v f (c) The stone will touch the ground again after 0.226s. 2. (a) ( ) s f m M m M F 2 2 + + = (b) ( ) s f M m M F + = 2 3. (a) Coordinates of centre of mass ( ) cm cm 3 . 17 , 9 . 16 = (b) Coordinates of centre of mass ( ) cm cm 9 . 16 , 9 . 16 = 4. ° = 5 . 72 u 5. (a) 16.6 cm from the end (b) Range of frequencies: Hz Hz 457 424 ÷ 6. The new equilibr
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  Answers to Special Round 2010 1.   (a)  st   694.0   (b) 1 780.0     msv  f    (c)   The stone will touch the ground again after 0.226s. 2.   (a)    s  f  m M m M  F  22   (b)    s  f   M m M  F     2  3.   (a) Coordinates of centre of mass   cmcm  3.17,9.16   (b) Coordinates of centre of mass   cmcm  9.16,9.16   4.     5.72    5.   (a) 16.6 cm  from the end (b) Range of frequencies:  Hz  Hz   457424    6.    The new equilibrium position for the piston is 0.4 H , the piston dropped by 0.6 H . 7.   (a) 12 107.1     Vm  (b) C  19 1050.1     8.    4415  R  9.   (a)      2332 2    Rkr   , anti-clockwise (b)    righttheto23332 31         Rkr  B     10.   (a) 7 increments (b) (i) c 99946.0  (ii) 0.597T 11.   (a) cm 8 102     (b) ~500 collisions (answers between 400 to 1000 acceptable; working should be sensible) 12.   (a) Ground state energy, eV hc E   18.8 1       eV  E eV  E eV  E eV  E  325.0510.0904.004.2 5432   (b) For transition from 3  E   to 2  E  , eV  E   14.1904.004.2 23       nm 1092 23       For transition from 4  E   to 2  E  , eV  E   53.1510.004.2 24       nm 811 24       For transition from 5  E   to 2  E  ,  eV  E   72.1325.004.2 25       nm 723 25          For the short wavelength limit, nm 609     (c) Using     22 111  f  i  nn R   , for Lyman series, 1  i n  For transition from 2  E   to 1  E  ,    nm 12221110097.1 1 122712        Ratio  %606.202122   For transition from 3  E   to 1  E  ,    nm 10331110097.1 1 132713        Ratio  %609.170103   For transition from 4  E   to 1  E  ,    nm 2.9741110097.1 1 142714        Ratio  %601.1622.97   For transition from 5  E   to 1  E  ,    nm 0.9551110097.1 1 152715        Ratio  %603.1580.95   For shortest wavelength limit,    nm 2.9110097.1 1  7       Ratio  %600.1522.91   (d) 0.471c
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