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Problems in General Physics

PART FOUR. OSCILLATIONS AND WAVES

Q.72. There are two damped oscillations with the following per

Problems in General Physics

Class 11

IE Irodov

Chapter 1: PART ONE. PHYSICAL FUNDAMENTALS OF MECHANICS

277 questions

Chapter 2: PART TWO. THERMODYNAMICS AND MOLECULAR PHYSICS

9 questions

Chapter 3: PART THREE. ELECTRODYNAMICS

46 questions

Chapter 4: PART FOUR. OSCILLATIONS AND WAVES

155 questions

Q.71. A point performs damped oscillations with frequency

ω

and damping coefficient

β

. Find the velocity amplitude of the point as a function of time

t

if at the moment

t = 0

(a) its displacement amplitude is equal to

a_{0}

;
(b) the displacement of the point

x (0) = 0

and its velocity pro- jection

\underline{v}_{x} (0) = \overset{x}{˙}_{0}

Q.72. There are two damped oscillations with the following periods

T

and damping coefficients

β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}

and

T_{2} = 10 ms, β_{2} = 10 s^{- 1}

. Which of them decays faster?

Q.73. A mathematical pendulum oscillates in a medium for which the logarithmic damping decrement is equal to

20 = 1.50

. What will be the logarithmic damping decrement if the resistance of the medium increases

n = 2 .00

times? How many times has the resistance of the medium to be increased for the oscillations to become impossible?

View all question

Chapter 5: PART FIVE. OPTICS

215 questions

Chapter 6: PART SIX. ATOMIC AND NUCLEAR PHYSICS

271 questions

Question

Hard

Solving time: 5 mins

Q.72. There are two damped oscillations with the following periods $T$ and damping coefficients $β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}$ and $T_{2} = 10 ms, β_{2} = 10 s^{- 1}$ . Which of them decays faster?

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Problems in General Physics (IE Irodov)

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Q.72. There are two damped oscillations with the following periods

T

and damping coefficients

β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}

and

T_{2} = 10 ms, β_{2} = 10 s^{- 1}

. Which of them decays faster?

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

The first oscillation decays faster in time. But if one takes the natural time scale, the period T for each oscillation, the second oscillation attenuates faster during that period.

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Question Text	Q.72. There are two damped oscillations with the following periods $T$ and damping coefficients $β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}$ and $T_{2} = 10 ms, β_{2} = 10 s^{- 1}$ . Which of them decays faster?
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	24

Q.72. There are two damped oscillations with the following periods $T$ and damping coefficients $β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}$ and $T_{2} = 10 ms, β_{2} = 10 s^{- 1}$ . Which of them decays faster?

Text solutionVerified

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Q.72. There are two damped oscillations with the following periods T and damping coefficients β:T1​=0.10 ms,β1​=100 s−1 and T2​=10 ms,β2​=10 s−1. Which of them decays faster?

Text solutionVerified

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Q.72. There are two damped oscillations with the following periods $T$ and damping coefficients $β : T_{1} = 0.10 ms, β_{1} = 100 s^{- 1}$ and $T_{2} = 10 ms, β_{2} = 10 s^{- 1}$ . Which of them decays faster?