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The length of a simple pendulum is incre...

The length of a simple pendulum is increased by 30%. What will be the percentage increase in time period ?

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To solve the problem, we need to determine the percentage increase in the time period of a simple pendulum when the length of the pendulum is increased by 30%. ### Step-by-Step Solution: 1. **Understand the Formula for Time Period**: The time period \( T \) of a simple pendulum is given by the formula: \[ T = 2\pi \sqrt{\frac{L}{g}} ...
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MODERN PUBLICATION-OSCILLATIONS -Revision Exercises (Numerical Problems)
  1. A body is executing simple harmonic motion with time period of 3 s. Af...

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  2. A particle is executing simple harmonic motion. The velocity of the pa...

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  3. A particle is executing simple harmonic motion with maximum velocity o...

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  4. A body is executing simple harmonic motion under the action of a force...

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  5. Calculate the maximum kinetic energy of a linear harmonic oscillator o...

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  6. A particle is executing simple harmonic motion of amplitude 9 m. At wh...

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  7. When displacement in one third of total amplitude that what fraction o...

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  8. An extension of 10 cm is produced in a spring (spring constant = 1000 ...

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  9. The bob of a simple pendulum executes simple harmonic motion with ampl...

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  10. On suspending a heavy block of 2 kg from a massless spring, an extensi...

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  11. A particle executes simple harmonic motion of ampliltude A. At what di...

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  12. A pan of 2 kg is attached to a spring balance. When a weight of 3 kg i...

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  13. A mass m performs oscillations of period T when hanged by spring of fo...

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  14. A mass M attached to a spring of spring constant 0.7 N/m oscillates on...

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  15. Two particles x and y having same masses are suspended by two massless...

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  16. Calculate the elongation produced in each of the spring combinations:

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  17. The length of a simple pendulum is increased by 30%. What will be the ...

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  18. Calculate the length of the second's pendulum on the surface of moon w...

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  19. A body of mass 0.5 kg is suspended by a weightless spring of force con...

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  20. In the above example, calculate the amplitude of motion.

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