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Please solve q18

L e t u s t h i n k t h e s i t u a t i o n w h e n t h e b e a d i s h s a s l i d e d d i s \tan c e x, o n l e l e a \sin g t h e t h e p a r t i c l e o f m a s s m . T H e l e n g t h o f s t r i n g i s L . W h e n p a r t i c l e w a s r e l e a s e d, t h e l e n g t h o f t h e s t r i n g a t t h e o r i g i n a l p o i n t f r o m t h e p o i n t b e a d s l i d e d = (L - x) . I n t h i s p o s i t i o n t h e a n g l e m a d e b y t h e s t r i n g w i t h h o r i z o n t a l = θ . T h e r i g h t a n g l e d t r i n g l e s o f o r m e d, h a s b a s e = (L - x) a n d h y p o t e n u s e = L . T h e r e f o r e \cos θ = \frac{L - x}{L} O R \cos θ = 1 - \frac{x}{L} O R x = L (1 - \cos θ) . T h e r e f o r e o p t i o n (a) i s t h e c o r r e c t a n s w e r . .

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