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All questions of Oscillations for Class 11 Exam
Find the amplitude of the S.H.M whose displacement y in cm is given by equation y= 3sin 157t +4cos157t where t is time in seconds.- a)20Hz
- b)25Hz
- c)50Hz
- d)40Hz
Correct answer is option 'B'. Can you explain this answer?
Find the amplitude of the S.H.M whose displacement y in cm is given by equation y= 3sin 157t +4cos157t where t is time in seconds.
a)
20Hz
b)
25Hz
c)
50Hz
d)
40Hz
|
Pioneer Academy answered |
When the displacement of a SHM is:
y=a sin wt+ b cos wt
y=a sin wt+ b cos wt
- Amplitude of the SHM will be:
A=√a2+b2
Here, a = 3, b = 4
Amplitude, A= √(32+42) = 5 cm
Amplitude, A= √(32+42) = 5 cm
Hence option B is correct.
A second pendulum is mounted in a space shuttle. Its period of oscillations will decrease when rocket is- a)moving in geostationary orbit
- b)ascending up with uniform acceleration
- c)descending down with uniform acceleration
- d)moving up with uniform velocity
Correct answer is option 'B'. Can you explain this answer?
A second pendulum is mounted in a space shuttle. Its period of oscillations will decrease when rocket is
a)
moving in geostationary orbit
b)
ascending up with uniform acceleration
c)
descending down with uniform acceleration
d)
moving up with uniform velocity
|
Top Rankers answered |
- Time Period, T = 2π √(l/g')where,
l = Length of seconds pendulum
g’ = Apparent Gravity - For the period of oscillations of Seconds Pendulum to decrease, the Apparent gravity (g’) has to increase because:
- Hence, Time Period of oscillations of Seconds Pendulum will decrease when the rocket is ascending up with uniform acceleration.
If a simple pendulum oscillates with an amplitude 50 mm and time period 2s, then its maximum velocity isa)0.15 m/sb)0.1 m/sc)0.16 m/sd)0.8 m/sCorrect answer is option 'A'. Can you explain this answer?
|
Neha Joshi answered |
We know that in a simple harmonic motion the maximum velocity,
Vmax = A⍵
Here A = 50 mm
Vmax = A⍵
Here A = 50 mm
And ⍵ = 2π / T
= 2π / 2
= π
= 2π / 2
= π
Hence Vmax = 50 x 10-3.π
= 0.15 m/s
= 0.15 m/s
What will be the phase difference between bigger pendulum (with time period 5T/4 )and smaller pendulum (with time period T) after one oscillation of bigger pendulum?- a)π/4
- b)π/2
- c)π/3
- d)π
Correct answer is option 'B'. Can you explain this answer?
What will be the phase difference between bigger pendulum (with time period 5T/4 )and smaller pendulum (with time period T) after one oscillation of bigger pendulum?
a)
π/4
b)
π/2
c)
π/3
d)
π
|
Preeti Iyer answered |
By the time bigger pendulum completes one vibration, the smaller pendulum would have completed 5/4 vibrations. That is smaller pendulum will be ahead by 1/4 vibration in phase. 1/4 vibration means λ/4 path or π/2 radians.
A frequency of 1Hz corresponds to:- a)2 vibrations per second
- b)1 vibration per second
- c)10 vibrations per second
- d)a time period of ½ second
Correct answer is option 'B'. Can you explain this answer?
A frequency of 1Hz corresponds to:
a)
2 vibrations per second
b)
1 vibration per second
c)
10 vibrations per second
d)
a time period of ½ second
|
Alok Mehta answered |
Frequency used to be measured in cycles per second, but now we use the unit of frequency - the Hertz (abbreviated Hz). One Hertz (1Hz) is equal to one vibration per second. So the weight above is bouncing with a frequency of about 1Hz. The sound wave corresponding to Middle C on a piano is around 256Hz.
What determines the natural frequency of a body?- a)Position of the body with respect to force applied
- b)Mass and speed of the body
- c)Oscillations in the body
- d)Elastic properties and dimensions of the body
Correct answer is option 'D'. Can you explain this answer?
What determines the natural frequency of a body?
a)
Position of the body with respect to force applied
b)
Mass and speed of the body
c)
Oscillations in the body
d)
Elastic properties and dimensions of the body
|
Lavanya Menon answered |
Natural frequency is the frequency at which a body tends to oscillate in the absence of any driving or damping force.
Free vibrations of any elastic body are called natural vibration and happen at a frequency called natural frequency. Natural vibrations are different from forced vibration which happen at frequency of applied force .
Free vibrations of any elastic body are called natural vibration and happen at a frequency called natural frequency. Natural vibrations are different from forced vibration which happen at frequency of applied force .
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:- a)2π/√3
- b)2π√3
- c)√3/2π
- d)1/ 2π√3
Correct answer is option 'A'. Can you explain this answer?
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:
a)
2π/√3
b)
2π√3
c)
√3/2π
d)
1/ 2π√3
|
Jyoti Kapoor answered |
velocity at distance x in shm is given as
v= w sqrt(A2-x2)
so A = 2 x =1
v = w sqrt(4-1) = wsqrt3
now acc at distance x is a= w2 x = w2
as mag a = mag v
w2 = wsqrt3
w= sqrt3
2pi/T= sqrt3
T = 2pi/sqrt3
If 
is the natural frequency of the system and 
is the frequency of the external force that acts on an oscillating system then at resonance- a)ωd ≥ ω
- b)ωd = ω
- c)ωd ≤ ω
- d)ωd ≠ ω
Correct answer is option 'B'. Can you explain this answer?
If is the natural frequency of the system and is the frequency of the external force that acts on an oscillating system then at resonance
is the natural frequency of the system and is the frequency of the external force that acts on an oscillating system then at resonancea)
ωd ≥ ω
b)
ωd = ω
c)
ωd ≤ ω
d)
ωd ≠ ω
|
Om Desai answered |
When the natural frequency and external frequency of an object are equal the phenomenon is called resonance.
The restoring force in a simple harmonic motion is _________ in magnitude when the particle is instantaneously at rest.- a)zero
- b)maximum
- c)minimum
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
The restoring force in a simple harmonic motion is _________ in magnitude when the particle is instantaneously at rest.
a)
zero
b)
maximum
c)
minimum
d)
none of these
|
Knowledge Hub answered |
The restoring force in a simple harmonic motion is maximum in magnitude when the particle is instantaneously at rest because in SHM object’s tendency is to return to mean position and here particle is instantaneously at rest after that instant restoring force will be max to bring particle to mean position.
If an external force with angular frequency ωd acts on an oscillating system with natural angular frequency ω, the system oscillates with angular frequency ωd. The amplitude of oscillations is the greatest when:- a)ωd > ω
- b)ωd < ω
- c)ωd ≥ ω
- d)ωd = ω
Correct answer is option 'D'. Can you explain this answer?
If an external force with angular frequency ωd acts on an oscillating system with natural angular frequency ω, the system oscillates with angular frequency ωd. The amplitude of oscillations is the greatest when:
a)
ωd > ω
b)
ωd < ω
c)
ωd ≥ ω
d)
ωd = ω
|
|
Jyoti Aiims Aspirant answered |
Under what condition angular frequency ω of the damped oscillator would be equivalent to angular velocity Ω of the undamped oscillator.- a)Velocity of oscillator is small
- b)Damping constant, b is small
- c)Damping constant ,b is large
- d)Force applied is small
Correct answer is option 'B'. Can you explain this answer?
Under what condition angular frequency ω of the damped oscillator would be equivalent to angular velocity Ω of the undamped oscillator.
a)
Velocity of oscillator is small
b)
Damping constant, b is small
c)
Damping constant ,b is large
d)
Force applied is small
|
|
Priya Patel answered |
The amplitude of S.H.M at resonance is _______ in the ideal case of zero damping.- a)Maximum
- b)Minimum
- c)Zero
- d)Infinite
Correct answer is option 'D'. Can you explain this answer?
The amplitude of S.H.M at resonance is _______ in the ideal case of zero damping.
a)
Maximum
b)
Minimum
c)
Zero
d)
Infinite
|
|
Neha Joshi answered |
In an ideal environment where there is no resistance to oscillation motion i.e. damping is zero, when we oscillate a system at its resonant frequency since there is no opposition to oscillation, the amplitude will go on increasing and reach infinity.
The velocity of a particle moving with simple harmonic motion is . . . . at the mean position.- a)Zero
- b)Minimum
- c)Maximum
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
The velocity of a particle moving with simple harmonic motion is . . . . at the mean position.
a)
Zero
b)
Minimum
c)
Maximum
d)
None of the above
|
|
Niharika Nair answered |
V = ω√(A2 – x2)
So the velocity is maximum at mean position
So the velocity is maximum at mean position
In the ideal case of zero damping, the amplitude of simple harmonic motion at resonance is:- a)zero
- b)infinite
- c)cannot be said
- d)varies from zero to infinite
Correct answer is option 'B'. Can you explain this answer?
In the ideal case of zero damping, the amplitude of simple harmonic motion at resonance is:
a)
zero
b)
infinite
c)
cannot be said
d)
varies from zero to infinite
|
|
Priya Patel answered |
In an ideal environment where there is no resistance to oscillatory motion, that is, damping is zero, when we oscillate a system at its resonant frequency, since there is no opposition to oscillation, a very large value of amplitude will be recorded. Forced oscillation is when you apply an external oscillating force.
The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as- a)Accelerated Amplitude
- b)Epoch
- c)Resonance
- d)Dampening
Correct answer is option 'C'. Can you explain this answer?
The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as
a)
Accelerated Amplitude
b)
Epoch
c)
Resonance
d)
Dampening
|
|
Lavanya Menon answered |
The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is known as resonance. By the definition of resonance.
The periodic time (tp) is given by- a)ω / 2 π
- b)2 π / ω
- c)2 π × ω
- d)π/ω
Correct answer is option 'B'. Can you explain this answer?
The periodic time (tp) is given by
a)
ω / 2 π
b)
2 π / ω
c)
2 π × ω
d)
π/ω
|
Divyansh Saha answered |
Periodic time is the time taken for one complete revolution of the particle.
∴ Periodic time, tp = 2 π/ω seconds.
∴ Periodic time, tp = 2 π/ω seconds.
Under forced oscillation, the phase of the harmonic motion of the particle and phase of driving force- a)Are same
- b)Are different
- c)Both are zero
- d)Not present
Correct answer is option 'B'. Can you explain this answer?
Under forced oscillation, the phase of the harmonic motion of the particle and phase of driving force
a)
Are same
b)
Are different
c)
Both are zero
d)
Not present
|
|
Pratibha Sharma answered |
Harmonic motion is the natural motion of a body(we consider no air friction) under no force where as damped oscillation are under force hence the iscilation are different
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are called- a)Damped oscillations
- b)Undamped oscillations
- c)Coupled oscillations
- d)Maintained oscillations
Correct answer is option 'D'. Can you explain this answer?
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are called
a)
Damped oscillations
b)
Undamped oscillations
c)
Coupled oscillations
d)
Maintained oscillations
|
Anoushka Basu answered |
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, and then the amplitude of such oscillations would become constant. Such oscillations are called maintained oscillations. By the definition of maintained oscillations.
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