JEE Advance - Physics (1999)

• 1

  The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (< a) and p are positive constants of approprite dimensions. Then

  回答

  A

  B

  C
• 2

  A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of

  回答

  (B)

  $$\left( {{3 \over 2}} \right)k$$
• 3

  A particle free to move along the x-axis has potential energy given by $$U\left( x \right) = k\left[ {1 - \exp \left( { - {x^2}} \right)} \right]$$ for $$ - \infty \le x \le - \infty $$, where k is a positive constant of appropriate dimensions. Then

  回答

  (D)

  for small displacement from x = 0, the motion is simple harmonic