NEET · Physics —

Oscillations appeared 3 times across 1 year — 6.7% of Physics. This question is from Conservation of Energy in Simple Pendulum.

Year 2024 Total
Questions 3 3
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The sum of kinetic energy and potential energy of a simple pendulum bob is 0.02 joule. The speed of the simple pendulum bob at equilibrium position is approximately: (Consider mass of the bob = 20 g)

Solution & Explanation

Related Formula
Etotal = (1)/(2) m vmax²
Core Logic

At equilibrium position, potential energy is zero and total energy equals kinetic energy.

(1)/(2) m v² = 0.02 ⇒ (1)/(2) × 20 × 10⁻³ × v² = 0.02 10⁻² v² = 2 × 10⁻² ⇒ v² = 2 ⇒ v = √(2) ≈ 1.41 m/s
Pattern Recognition

Total energy equals maximum kinetic energy at equilibrium.

Chapter Mix

Class 11 Physics: Oscillations

Reference Study Guides

Oscillations

More Oscillations Previous-Year Questions

Q25 neet_2024_05_may_morning Energy in Simple Harmonic Motion
For a simple pendulum, having time period T, the variation of kinetic energy (K.E.) with time (t) is represented by:
  • A. Option (1)
  • B. Option (2)
  • C. Option (3)
  • D. Option (4)

Solution

Related Formula
K = (1)/(2)m v² = (1)/(2)mA²ω² ²(ω t + φ)
Core Logic

Kinetic energy depends on ²(ω t + φ). K.E. is non-negative and oscillates with frequency 2f (time period T/2). Curve in option (3) correctly represents ² variation.

Pattern Recognition

Kinetic energy in SHM varies sinusoidally with period T/2 and remains positive.

Chapter Mix

Class 11 Physics: Oscillations

Q32 neet_2024_05_may_morning Simple Pendulum Time Period
Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as : (Take π² = 9.8 , and g = 9.8m / s² )
  • A. 2m
  • B. 0.75m
  • C. 1.5m
  • D. 1m

Solution

Related Formula
T = 2π √(( )/(g)) ⇒ = (g T²)/(4π²)
Core Logic

Time period T = (60)/(30) = 2 s.

= (9.8 × 2²)/(4 × 9.8) = 1m
Pattern Recognition

A simple pendulum with T = 2s has length 1m when g = pi^2.

Chapter Mix

Class 11 Physics: Oscillations

More Oscillations Questions — neet_2024_05_may_morning

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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)