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Do you ever wonder what makes a swinging pendulum or a vibrating guitar string oscillate in a rhythm? NCERT Exemplar Class 11 Physics Solutions Chapter 14 steps into the interesting realm of oscillations! From basic harmonic motion to energy transitions in a swinging motion, this chapter discusses concepts that design things like clocks and musical instruments. Discover solved exemplar problems and ace these thrilling topics with ease.
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NCERT Exemplar Class 11 Physics Solutions Chapter 14 Oscillations is very important for exams. In this chapter, we will learn about different types of oscillations, their properties and formulas. Solving exemplar problems helps the students to build a strong foundation for competitive exams. For easy learning, students can also download the NCERT Exemplar Class 11 Physics Chapter 14 PDF for future reference.
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Question:14.1
The displacement of a particle is represented by the equation
(a) simple harmonic with period
(b) simple harmonic with period
(c) periodic but not simple harmonic
(d) non-periodic
Answer:
The answer is option (b), Simple harmonic with periodQuestion:14.2
The displacement of a particle is represented by the equation
(a) non-periodic
(b) periodic but not simple harmonic
(c) simple harmonic with period
(d) simple harmonic with period
Answer:
The answer is option (b), periodic but not simple harmonicQuestion:14.3
The relation between acceleration and displacement of four particles are given below:
(a)
(b)
(c)
(d)
Which one of the particle is exempting simple harmonic motion?
Answer:
The answer is option (d)Question:14.4
The motion of an oscillating liquid column in a U-tube is
(a) periodic but not simple harmonic
(b) non-periodic
(c) simple harmonic and time period is independent of the density of the liquid
(d) simple harmonic and time period is directly proportional to the density of the liquid
Answer:
The answer is the option (c) Simple harmonic and time period is independent of the density of the liquid.Question:14.5
A particle is acted simultaneously by mutually perpendicular simple harmonic motion
(a) an ellipse
(b) a parabola
(c) a circle
(d) a straight line
Answer:
The answer is the option (c) a circle.Question:14.6
The displacement of a particle varies with time according to the relation
(a) The motion is oscillatory but not SHM
(b) The motion is SHM with amplitude a + b
(c) The motion is SHM with amplitude
(d) The motion is SHM with amplitude
Answer:
The answer is the option (d) The motion is SHM with amplitudeQuestion:14.7
Four pendulums A, B, C and D are suspended from the same elastic support as shown in the figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,
(a) D will vibrate with maximum amplitude
(b) C will vibrate with maximum amplitude
(c) B will vibrate with maximum amplitude
(d) All the four will oscillate with equal amplitude.
Answer:
The answer is the option (b) C will vibrate with maximum amplitude.Question:14.8
Answer:
The answer is the optionQuestion:14.9
The equation of motion of a particle is
The motion is
(a) periodic but not oscillatory.
(b) periodic and oscillatory.
(c) oscillatory but not periodic.
(d) neither periodic nor oscillatory.
Answer:
The answer is the option (c) Oscillatory but not periodic.Question:14.10
Answer:
Answer: The answer is the optionQuestion:14.11
Answer:
Answer: The answer is the optionQuestion:14.12
The rotation of earth about its axis is
(a) periodic motion
(b) simple harmonic motion
(c) periodic but not simple harmonic motion
(d) non-periodic motion
Answer:
The answer is the option (a) periodic motion and (c) periodic but not SHMQuestion:14.13
Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is
(a) simple harmonic motion
(b) non-periodic motion
(c) periodic motion
(d) periodic but not SHM
Answer:
The answer is the option (a) Simple harmonic motion and (b) non - periodic motionQuestion:14.14
Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.
(a) Phase of the oscillator is same at t = 0s and t = 2 s
(b) Phase of the oscillator is same at t = 2s and t = 6 s
(c) Phase of the oscillator is same at t = 1s and t = 7 s
(d) Phase of the oscillator is same at t = 1s and t = 5 s
Answer:
The answer is the option (b) Phase of the oscillator is same at t = 2s & t = 6s and (d) The phase of the oscillator is the same at t = 1s & t = 5sQuestion:14.15
Which of the following statements is/are true for a simple hannonic oscillator?
(a) Force acting is directly proportional to displacement from the mean position and opposite to it
(b) Motion is periodic
(c) Acceleration of the oscillator is constant
(d) The velocity is periodic
Answer:
The answer is the option (a) Force acting is directly proportional to the displacement from the mean position and opposite to it, (b) Motion is periodic, and (d) The velocity is periodic.Question:14.16
The displacement time graph of a particle executing S.H.M. is shown in Figure. Which of the following statement is/are true?
(a) The force is zero at
(b) The acceleration is maximum at
(c) The velocity is maximum at
(d) The P.E. is equal to K.E. of oscillation at
Answer:
The answer is the option (a) The force is zero atQuestion:14.17
A body is performing SHM, then its
(a) The average total energy per cycle is equal to its maximum kinetic energy
(b) The average kinetic energy per cycle is equal to half of its maximum kinetic energy
(c) mean velocity over a complete cycle is equal to
(d) root mean square velocity is
Answer:
The answer is the option (a) Average total energy per cycle is equal to its maximum kinetic energy, (b) Average kinetic energy per cycle is equal to half its maximum kinetic energy, and (d) Root square mean velocity is equal toQuestion:14.18
A particle is in linear simple harmonic motion between two points A and B, 10 cm apart (figure). Take the direction from A to B as the positive direction and choose the correct statements. __ _
AO = OB = 5 cm
BC= 8 cm
(a) The sign of velocity, acceleration and force on the particle when it is 3 cm away from A going towards B are positive
(b) The sign of velocity of the particle at C going towards B is negative
(c) The sign of velocity, acceleration and force on the particle when it is 4 cm away from B going towards A are negative
(d) The sign of acceleration and force on the particle when it is at point B is negative
Answer:
The answer is the option (a) The sign of velocity, acceleration & force on the particle when it is 3 cm away from A going towards B is positive, (c) The sign of velocity, acceleration & force on the particle when it is 4 cm away from B going towards A are negative, and (d) The sign of acceleration and force on the particle when it is at point B is negative.Question:14.19
Answer:
(i) At A, C, E, and G the displacement is maximum. Hence, the velocity of the oscillator will also be maximum.Question:14.20
Answer:
If we displace the mass ‘m’ frpm its equilibrium position towards the right by distance ‘x’, The spring B will be compressed by distance x, & let kx be the force applied on the mass ‘m’ towards left. If we apply the force kx on the mass, A will be extended by distance x towards left; and apply force kx towards left. Thus, restoring force will act on the block as net force towards left.Question:14.21
What are the two basic characteristics of a simple harmonic motion?
Answer:
(i)The direction of acceleration is towards the mean position, andQuestion:14.22
When will the motion of a simple pendulum be simple harmonic?
Answer:
Let us consider a pendulum whose,Question:14.21
What is the ratio of maximum acceleration to the maximum velocity of a simple harmonic oscillator?
Answer:
Let us considerQuestion:14.24
What is the ratio between the distance travelled by the oscillator in one time period and amplitude?
Answer:
We already know that the distance travelled by an oscillator in a one-time period is equal to 4A,Question:14.25
Answer:
Question:14.26
Show that for a particle executing SHM, velocity and displacement have a phase difference of
Answer:
Let us considerQuestion:14.27
Answer:
x | K.E. | P.E. | T.E. |
0 | 0 | ||
+A | 0 | ||
-A | 0 |
Question:14.28
Answer:
A second pendulum is a pendulum with time period (T) = 2 secondsQuestion:14.29
Answer:
If we pull mass M & then release it, it oscillates with the pulley up & down. Let x0 be the extension of the string when loaded with M, Due to acceleration and the same amount of forces the extension and compression of the spring from initial position is larger and smaller, respectively. Hence, we can neglect the gravitational force here.Question:14.3
Show that the motion of a particle represented by
Answer:
Question:14.31
Answer:
Let us consider an oscillator viz. at ,Question:13.32
Answer:
Here, dW = F.dxQuestion:14.33
Answer:
Here, the value of x is-Question:14.34
Answer:
Now,Question:14.35
A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s-1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time.
(a) Will there be any change in weight of the body, during the oscillation?
(b) If answer to part (a) is yes, what will be the maximum and minimum reading in the machine and at which position?
Answer:
Due to normal reaction ‘N’, there will be weight in weight machine.Question:14.36
A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4cm below the point, where it was held in hand.
(a) What is the amplitude of oscillation?
(b) Find the frequency of oscillation?
Answer:
(a) As no deforming force acts on the spring when mass ‘m’ is supported by hand extension in the spring. Let m reach its new position at displacement = x unit, from the previous one, then,Question:14.37
A cylindrical log of wood of height h and area of cross-section A floats in water. It is pressed and then released. Show that the log would execute S.H.M. with a time period.
where m is mass of the body and ρ is density of the liquid.
Answer:
Question:14.38
Answer:
Let initial height = h0 of liquid in both columns; due to pressure difference, if the liquid in arm A is pressed by x, then liquid in arm B will rise by x.Question:14.39
Answer:
We know that,Question:14.40
Answer:
Let us consider the diagram at which,1. Periodic and Oscillatory Motions
- Periodic Motion: Motion that repeats after a fixed interval of time.
- Oscillatory Motion: A type of periodic motion in which a body moves back and forth about a mean position.
2. Simple Harmonic Motion (SHM)
where
3. SHM and Uniform Circular Motion
where
4. Velocity and Acceleration in SHM
where
5. Energy in SHM
Energy remains constant, exchanging between kinetic and potential forms.
6. Damped Simple Harmonic Motion
where
7. Forced Oscillations and Resonance
NCERT Exemplar Class 11 Physics Chapter 14 solutions covers wave motion, equations, and vibrations in open and closed pipes with practical applications. The solutions help in solving tricky questions and gaining a deeper grasp of the concepts.
Chapter 1 | Units and Measurement |
Chapter 2 | Motion in a straight line |
Chapter 3 | Motion in a Plane |
Chapter 4 | Laws of Motion |
Chapter 5 | Work, Energy and Power |
Chapter 6 | System of Particles and Rotational motion |
Chapter 7 | Gravitation |
Chapter 8 | Mechanical Properties of Solids |
Chapter 9 | Mechanical Properties of Fluids |
Chapter 10 | Thermal Properties of Matter |
Chapter 11 | Thermodynamics |
Chapter 12 | Kinetic Theory |
Chapter 13 | Oscillations |
Chapter 14 | Waves |
In this, NCERT Exemplar Class 11 Physics solutions Chapter 14 Oscillations, students can find the answers of all the exemplar questions of chapter 14.
The question can be of MCQ, short answer or long answer type. All these types of questions are given after each chapter, the students need to go through them once before appearing for the examination.
Topics such as oscillations, it’s types, SHM and its characteristic features are covered in it.
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