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Oscillations · Question 57

AIPMT 2001MCQEasy📈 Topic in 38% papers+4−1
1

The total energy of particle performing SHM depends on

  1. k, a, m
  2. k, a
  3. k, a, x
  4. k, x

Answer

(2) k, a

Solution

For SHM with force constant k and amplitude a:

E = 12m 2 a2 = 12ka2 (since k = m 2)

The total energy is constant, independent of the displacement x, and in terms of k it does not contain m separately.

Total energy depends on k and a.

Answer: (2)

AIPMT 2001

Keep practising — Oscillations

2

Two masses MA and MB are hung from two strings of length lA and lB respectively. They are executing SHM with frequency relation fA = 2fB, then relation

  1. lA = lB4, does not depend on mass
  2. lA = 4lB, does not depend on mass
  3. lA = 2lB and MA = 2MB
  4. lA = lB2 and MA = MB2
AIPMT 2000
3

The bob of simple pendulum having length l, is displaced from mean position to an angular position with respect to vertical. If it is released, then velocity of bob at equilibrium position

  1. 2gl(1 - )
  2. 2gl(1 + )
  3. 2gl
  4. 2gl
AIPMT 2000
4

The equations of two waves acting in perpendicular directions are given as x = a ( t + ) and y = a ( t + ), where = + 2, the resultant wave represents

  1. a parabola
  2. a circle
  3. an ellipse
  4. a straight line
AIPMT 2000

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