question_answer

Two blocks A and B each of same mass are attached by a thin inextensible string through an ideal pulley. Initially block B is held in position as shown in figure. Now the block B is released. Block A will slide to right and hit the pulley in time \[{{t}_{A}}.\]Block B will swing and hit the surface in time \[{{t}_{B}}.\]

Assume the surface as frictionless.

A) \[{{t}_{A}}={{t}_{B}}\]

B) \[{{t}_{A}}<{{t}_{B}}\]

C) \[{{t}_{A}}>{{t}_{B}}\]

D) data are not sufficient to get relationship between \[{{t}_{A}}\] and \[{{t}_{B}}.\]

Correct Answer: B

Solution :

            \[T\sin \theta <T\] \[\therefore \]      \[{{t}_{A}}<{{t}_{B}}\]