Systems Executing Simple Harmonic Motion MCQ

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• What will happen to the time period of a simple pendulum if temperature of the surroundings is significantly increased?
  ক

  Increase

  খ

  Decrease

  গ

  Remain the same

  ঘ

  The oscillations come to a stop
• Two simple pendulums of the same length are released from 10° & 20° respectively. Select the correct statement.
  ক

  The second pendulum have will have a double time period than that of the first

  খ

  They both will reach the mean position at the same time

  গ

  The first pendulum will have a double time period than that of the second

  ঘ

  Their maximum speed will be the same
• What is the length of a seconds pendulum?
  ক

  1m

  খ

  2m

  গ

  9.8m

  ঘ

  0.5m
• Which of the following factors affects the time period of a simple pendulum?
  ক

  Mass of bob

  খ

  Shape of bob

  গ

  Length of string

  ঘ

  Angle of release from 0° to 20°
• Two springs in horizontal spring mass systems have spring constants in the ratio 2:3. By what ratio should they be extended from their mean positions so that they have the same value of maximum speed? The masses of blocks are the same in both cases.
  ক

  3/2

  খ

  √3 / √2

  গ

  9/4

  ঘ

  4/9
• A spring block system is on a horizontal surface. The block is compressed by 10cm. What should be the coefficient of friction between the block and ground such that the block comes to a stop at the mean position? Mass of block = 0.5kg & spring constant = 3N/m.
  ক

  0.03

  খ

  0.06

  গ

  0.12

  ঘ

  0.05
• A spring mass system is hanging from the ceiling of a lift. It has been like this for quite some time. Suddenly the cables holding the lift are cut. What will be the amplitude of oscillation of the block when observed by a person standing (of mass M) in the lift?
  ক

  mg/k

  খ

  (M-m)g/k

  গ

  The observer will not observe a SHM

  ঘ

  2mg/k
• A spring mass system is on a horizontal plane. Spring constant is 2N/m & mass of block is 2kg. The spring is compressed by 10cm and released. A small ball is released from a height of 2m above the block on the horizontal plane. At what time should the ball be left if the block is released from the extreme position at t=0, given that the ball has to fall on the block when the speed of block is maximum?
  ক

  1.57s

  খ

  0.94s

  গ

  0s

  ঘ

  0.63s
• A spring block system is on a horizontal plane. If spring constant is 2N/m & mass of block is 1kg. By what amount should the block be extended from equilibrium position such that maximum velocity at mean position is 2m/s?
  ক

  2√2 m

  খ

  3√2 m

  গ

  4√2 m

  ঘ

  2 m
• Let T1 be the time period of a single spring mass system on a horizontal surface. Let T2 be the time period of the same system when hung from the ceiling. What is the expression for T1 & T2?
  ক

  T1 = T2 = 2π √(k/m)

  খ

  T1 = 2π √(m/k), T2 = 2π √(mg/k)

  গ

  T1 = T2 = 2π √(m/k)

  ঘ

  T1 = 2π √(m/k), T2 = 2π √(k/mg)