IIT - JEE Main Important Questions of Oscillations | Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
1.

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:

  • left parenthesis 92 space plus-or-minus 2 right parenthesis straight s
  • left parenthesis 92 space plus-or-minus 5 right parenthesis straight s
  • left parenthesis 92 space plus-or-minus space 1.8 right parenthesis straight s
  • left parenthesis 92 space plus-or-minus space 1.8 right parenthesis straight s
639 Views

2.

A pendulum clock loses 12 s a day if the temperature is 408C and gains 4 s a day if the temperature is 208C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (α) of the metal of the pendulum shaft are respectively:

  • 25 C; α=1.85×10−5/ °C

  • 60 °C; α=1.85×10−4/ °C

  • 30°C; α=1.85×10−3/°C

  • 30°C; α=1.85×10−3/°C

838 Views

3.

A particle performs simple harmonic motion with amplitude A. It's speed is trebled at the instant that it is at a distance 2A/3 from the equilibrium position. The new amplitude of the motion is:

  • straight A over 3 square root of 41
  • 3A

  • straight A square root of 3
  • straight A square root of 3
1229 Views

4.

The period of oscillation of a simple pendulum is  . The measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 s resolution. The accuracy in the determination of g is:

  • 2%

  • 3%

  • 1%

  • 5%

534 Views

Advertisement
5.

For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly?

362 Views

6.

A particle moves with simple harmonic motion in a straight line. In first τ s, after starting from rest it travels a distance a, and in next τ s it travels 2a, in the same direction, then

  • amplitude of motion is 3a

  • time period of oscillations is 8τ

  • amplitude of motion is 4a

  • amplitude of motion is 4a

711 Views

7.

A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of the air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.

  • 12

  • 8

  • 6

  • 6

356 Views

8.

A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density σ at the equilibrium position. The extension x0 of the spring when it is in equilibrium is

  • Mg over straight k
  • Mg over straight k open parentheses 1 minus LAσ over straight M close parentheses
  • Mg over straight k open parentheses 1 minus fraction numerator LAσ over denominator 2 straight M end fraction close parentheses
  • Mg over straight k open parentheses 1 minus fraction numerator LAσ over denominator 2 straight M end fraction close parentheses
483 Views

Advertisement
9.

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to α times its original magnitude, where α equals

  • 0.7

  • 0.81

  • 0.729

  • 0.729

505 Views

10.

If a simple pendulum has the significant amplitude (up to a factor of 1/e of original) only in the period between t = Os to t = τs, then τ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds:

  • 0.693/b

  • b

  • 1/b

  • 1/b

564 Views

Advertisement