Forced oscillations and resonance
PHXI14:OSCILLATIONS

364148 During the phenomenon of resonance

1 the amplitude of oscillation becomes large
2 the frequency of oscillation becomes large
3 the time period of oscillation becomes large
4 All of the above
PHXI14:OSCILLATIONS

364149 Assertion :
In real situation the amplitude of forced oscillation can never be infinite.
Reason :
The energy of oscillator is continuously dissipated.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364150 A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force, \(F=F_{o} \sin \omega t\). If the amplitude of the particle is maximum for \(\omega=\omega_{1}\) and energy of the particle is maximum for \(\omega=\omega_{2}\), then

1 \(\omega_{1}=\omega_{o}\) and \(\omega_{2}=\omega_{0}\)
2 \(\omega_{1}=\omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
3 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
4 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2}=\omega_{o}\)
PHXI14:OSCILLATIONS

364151 A simple harmonic oscillator of angular frequency \(2\,ra{d^{ - 1}}\) is acted upon by an external force \(F=f(t)\). If the oscillator is at rest in its equilibrium position at \(t = 0\), its position at later times is proportional to :

1 \(\sin t+\dfrac{1}{2} \sin 2 t\)
2 \(\sin t-\dfrac{1}{2} \sin 2 t\)
3 \(\sin t+\dfrac{1}{2} \cos 2 t\)
4 \(\cos t-\dfrac{1}{2} \sin 2 t\)
PHXI14:OSCILLATIONS

364152 A body executes simple harmonic motion under the action of force \(F_{1}\) with a time period \(\dfrac{4}{5} s\). If the force is changed to \(F_{2}\) it executes space harmonic motion with time period \(\dfrac{3}{5}\) s. If both forces \(F_{1}\) and \(F_{2}\) act simultaneously in the same direction on the body then, its time period will be

1 \(\dfrac{12}{25} s\)
2 \(\dfrac{24}{25} s\)
3 \(\dfrac{35}{24} s\)
4 \(\dfrac{15}{12} s\)
PHXI14:OSCILLATIONS

364148 During the phenomenon of resonance

1 the amplitude of oscillation becomes large
2 the frequency of oscillation becomes large
3 the time period of oscillation becomes large
4 All of the above
PHXI14:OSCILLATIONS

364149 Assertion :
In real situation the amplitude of forced oscillation can never be infinite.
Reason :
The energy of oscillator is continuously dissipated.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364150 A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force, \(F=F_{o} \sin \omega t\). If the amplitude of the particle is maximum for \(\omega=\omega_{1}\) and energy of the particle is maximum for \(\omega=\omega_{2}\), then

1 \(\omega_{1}=\omega_{o}\) and \(\omega_{2}=\omega_{0}\)
2 \(\omega_{1}=\omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
3 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
4 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2}=\omega_{o}\)
PHXI14:OSCILLATIONS

364151 A simple harmonic oscillator of angular frequency \(2\,ra{d^{ - 1}}\) is acted upon by an external force \(F=f(t)\). If the oscillator is at rest in its equilibrium position at \(t = 0\), its position at later times is proportional to :

1 \(\sin t+\dfrac{1}{2} \sin 2 t\)
2 \(\sin t-\dfrac{1}{2} \sin 2 t\)
3 \(\sin t+\dfrac{1}{2} \cos 2 t\)
4 \(\cos t-\dfrac{1}{2} \sin 2 t\)
PHXI14:OSCILLATIONS

364152 A body executes simple harmonic motion under the action of force \(F_{1}\) with a time period \(\dfrac{4}{5} s\). If the force is changed to \(F_{2}\) it executes space harmonic motion with time period \(\dfrac{3}{5}\) s. If both forces \(F_{1}\) and \(F_{2}\) act simultaneously in the same direction on the body then, its time period will be

1 \(\dfrac{12}{25} s\)
2 \(\dfrac{24}{25} s\)
3 \(\dfrac{35}{24} s\)
4 \(\dfrac{15}{12} s\)
PHXI14:OSCILLATIONS

364148 During the phenomenon of resonance

1 the amplitude of oscillation becomes large
2 the frequency of oscillation becomes large
3 the time period of oscillation becomes large
4 All of the above
PHXI14:OSCILLATIONS

364149 Assertion :
In real situation the amplitude of forced oscillation can never be infinite.
Reason :
The energy of oscillator is continuously dissipated.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364150 A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force, \(F=F_{o} \sin \omega t\). If the amplitude of the particle is maximum for \(\omega=\omega_{1}\) and energy of the particle is maximum for \(\omega=\omega_{2}\), then

1 \(\omega_{1}=\omega_{o}\) and \(\omega_{2}=\omega_{0}\)
2 \(\omega_{1}=\omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
3 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
4 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2}=\omega_{o}\)
PHXI14:OSCILLATIONS

364151 A simple harmonic oscillator of angular frequency \(2\,ra{d^{ - 1}}\) is acted upon by an external force \(F=f(t)\). If the oscillator is at rest in its equilibrium position at \(t = 0\), its position at later times is proportional to :

1 \(\sin t+\dfrac{1}{2} \sin 2 t\)
2 \(\sin t-\dfrac{1}{2} \sin 2 t\)
3 \(\sin t+\dfrac{1}{2} \cos 2 t\)
4 \(\cos t-\dfrac{1}{2} \sin 2 t\)
PHXI14:OSCILLATIONS

364152 A body executes simple harmonic motion under the action of force \(F_{1}\) with a time period \(\dfrac{4}{5} s\). If the force is changed to \(F_{2}\) it executes space harmonic motion with time period \(\dfrac{3}{5}\) s. If both forces \(F_{1}\) and \(F_{2}\) act simultaneously in the same direction on the body then, its time period will be

1 \(\dfrac{12}{25} s\)
2 \(\dfrac{24}{25} s\)
3 \(\dfrac{35}{24} s\)
4 \(\dfrac{15}{12} s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI14:OSCILLATIONS

364148 During the phenomenon of resonance

1 the amplitude of oscillation becomes large
2 the frequency of oscillation becomes large
3 the time period of oscillation becomes large
4 All of the above
PHXI14:OSCILLATIONS

364149 Assertion :
In real situation the amplitude of forced oscillation can never be infinite.
Reason :
The energy of oscillator is continuously dissipated.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364150 A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force, \(F=F_{o} \sin \omega t\). If the amplitude of the particle is maximum for \(\omega=\omega_{1}\) and energy of the particle is maximum for \(\omega=\omega_{2}\), then

1 \(\omega_{1}=\omega_{o}\) and \(\omega_{2}=\omega_{0}\)
2 \(\omega_{1}=\omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
3 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
4 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2}=\omega_{o}\)
PHXI14:OSCILLATIONS

364151 A simple harmonic oscillator of angular frequency \(2\,ra{d^{ - 1}}\) is acted upon by an external force \(F=f(t)\). If the oscillator is at rest in its equilibrium position at \(t = 0\), its position at later times is proportional to :

1 \(\sin t+\dfrac{1}{2} \sin 2 t\)
2 \(\sin t-\dfrac{1}{2} \sin 2 t\)
3 \(\sin t+\dfrac{1}{2} \cos 2 t\)
4 \(\cos t-\dfrac{1}{2} \sin 2 t\)
PHXI14:OSCILLATIONS

364152 A body executes simple harmonic motion under the action of force \(F_{1}\) with a time period \(\dfrac{4}{5} s\). If the force is changed to \(F_{2}\) it executes space harmonic motion with time period \(\dfrac{3}{5}\) s. If both forces \(F_{1}\) and \(F_{2}\) act simultaneously in the same direction on the body then, its time period will be

1 \(\dfrac{12}{25} s\)
2 \(\dfrac{24}{25} s\)
3 \(\dfrac{35}{24} s\)
4 \(\dfrac{15}{12} s\)
PHXI14:OSCILLATIONS

364148 During the phenomenon of resonance

1 the amplitude of oscillation becomes large
2 the frequency of oscillation becomes large
3 the time period of oscillation becomes large
4 All of the above
PHXI14:OSCILLATIONS

364149 Assertion :
In real situation the amplitude of forced oscillation can never be infinite.
Reason :
The energy of oscillator is continuously dissipated.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364150 A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force, \(F=F_{o} \sin \omega t\). If the amplitude of the particle is maximum for \(\omega=\omega_{1}\) and energy of the particle is maximum for \(\omega=\omega_{2}\), then

1 \(\omega_{1}=\omega_{o}\) and \(\omega_{2}=\omega_{0}\)
2 \(\omega_{1}=\omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
3 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2} \neq \omega_{o}\)
4 \(\omega_{1} \neq \omega_{o}\) and \(\omega_{2}=\omega_{o}\)
PHXI14:OSCILLATIONS

364151 A simple harmonic oscillator of angular frequency \(2\,ra{d^{ - 1}}\) is acted upon by an external force \(F=f(t)\). If the oscillator is at rest in its equilibrium position at \(t = 0\), its position at later times is proportional to :

1 \(\sin t+\dfrac{1}{2} \sin 2 t\)
2 \(\sin t-\dfrac{1}{2} \sin 2 t\)
3 \(\sin t+\dfrac{1}{2} \cos 2 t\)
4 \(\cos t-\dfrac{1}{2} \sin 2 t\)
PHXI14:OSCILLATIONS

364152 A body executes simple harmonic motion under the action of force \(F_{1}\) with a time period \(\dfrac{4}{5} s\). If the force is changed to \(F_{2}\) it executes space harmonic motion with time period \(\dfrac{3}{5}\) s. If both forces \(F_{1}\) and \(F_{2}\) act simultaneously in the same direction on the body then, its time period will be

1 \(\dfrac{12}{25} s\)
2 \(\dfrac{24}{25} s\)
3 \(\dfrac{35}{24} s\)
4 \(\dfrac{15}{12} s\)