IIT JEE , AIEEE Forum - Physics , Mechanics - Need help on my quantam physics questions

pushpendra

ÿþ1 )   A   p a r t i c l e   o f   m a s s ,   m ,   t r a p p e d   i n   a   1 - d   b o x   o f   l e n g t h ,   L ,   h a s   e n e r g i e s   w i t h :

E n   =

( h ^ 2   p i ^ 2 /

2 m L 2 )   x   n ^ 2

a .   W h a t   i s   t h e   g r o u n d   s t a t e   e n e r g y   i f   t h e   l e n g t h   o f   t h e   b o x   i s   1 0 "1 0   m   ( r o u g h l y   t h e   s i z e   o f   a

h y d r o g e n   a t o m )   a n d   t h e   p a r t i c l e   i n   q u e s t i o n   i s   a n   e l e c t r o n ?   E x p r e s s   y o u r   a n s w e r   i n   e V .

Y o u   s h o u l d   f i n d   t h a t   t h e   e n e r g y   i s   o f   t h e   s a m e   o r d e r   ( a   f a c t o r   o f   a   f e w )   t h e   e n e r g y   o f   a

H y d r o g e n   a t o m .   T h i s   i s   n o t   a   c o i n c i d e n c e .

b .   W h a t   i s   t h e   f i r s t   e x c i t e d   s t a t e   o f   t h i s   s y s t e m ?

c .   W h a t   i s   t h e   w a v e l e n g t h   c o r r e s p o n d i n g   t o   t h e   L y m a n - A l p h a    t r a n s i t i o n   o f   t h i s   s y s t e m ?

d .   W h a t   t y p e   o f   r a d i a t i o n   i s   t h i s ?

2 )   Y o u   o b s e r v e   t h r e e   ( n o n - i n t e r a c t i n g )   p a r t i c l e s   w i t h :

m 1 = 1   k g ,   m 2   = 2   k g ,   a n d   m 3   = 3   k g ,   a n d   a t   p o s i t i o n s :

~ r 1   = <   2 ,   1 ,   0   >   m ,   ~ r 2   = <   "4 ,   2 ,   0   >   m ,   ~ r 3   = <   1 ,   0 ,   0   >   m ,   a n d   w i t h   v e l o c i t i e s :

~ v 1   = <   3 ,   0 ,   0   >   m / s ,   ~ v 2   = <   "2 ,   2 ,   0   >   m / s ,   ~ v 3   = <   "1 ,   3 ,   0   >   m / s .

a .   W h e r e   i s   t h e   c e n t e r   o f   m a s s ?   ( I m   l o o k i n g   f o r   a   v e c t o r . )

b .   W h a t   i s   t h e   c e n t e r   o f   m a s s   v e l o c i t y ?

c .   W h a t   i s   t h e   t r a n s l a t i o n a l   k i n e t i c   e n e r g y ?

d .   W h a t   i s   t h e   t o t a l   e n e r g y   o f   t h e   s y s t e m   ( n o t   i n c l u d i n g   m a s s   e n e r g y ) ?

e .   W h a t   i s   t h e   t h e r m a l   e n e r g y   o f   t h e   g a s .    ?

kavincoolzz

is dis a ques of 11 std??

Ask & Discuss Questions with Community & Experts