Q65 / 90 · JEE Main 2022 (27 Jun Shift 2) · Physics

A stone tide to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is xu2-gL. The value of x is

  • Correct answer
    A
    2
  • B
    3
  • C
    4
  • D
    1

Solution

Figure

Applying conservation of mechanical energy at the point A and B, we get12mu2+0=12mv2+mgL

⇒v=u2-2gL

Now in vector form. v→i=u i^ and v→f=v j^

Therefore, change in velocity will be,∆V→=vj^-ui^ and ΔV→=u2+v2

⇒ΔV=u2+u2-2gL

=2u2-gL

Hence, x=2

Hence, the correct answer is option: 'A'.

Relevant Questions