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question_answer1) The S.H.M. of a particle is given by the equation\[y=3\sin \omega \,t+4\cos \omega \,t\]. The amplitude is [MP PET 1993]
question_answer2) If the displacement equation of a particle be represented by \[y=A\sin PT+B\cos PT\], the particle executes [MP PET 1986]
question_answer3) The motion of a particle varies with time according to the relation \[y=a(\sin \omega \,t+\cos \omega \,t)\], then
question_answer4) The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by \[\frac{\pi }{2}\] is [BHU 2003; CPMT 2004; MP PMT 1989, 2005; BCECE 2005]
question_answer5) The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of \[\pi \] results in the displacement of the particle along [CBSE PMT 1990]
question_answer6) Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be [MP PMT 1992]
question_answer7) The displacement of a particle varies according to the relation x = 4(cospt + sinpt). The amplitude of the particle is [AIEEE 2003]
question_answer8) A S.H.M. is represented by \[x=5\sqrt{2}(\sin 2\pi t+\cos 2\pi t).\]The amplitude of the S.H.M. is [MH CET 2004]
question_answer9) Resonance is an example of [CBSE PMT 1999; BHU 1999; 2005]
question_answer10) In case of a forced vibration, the resonance wave becomes very sharp when the [CBSE PMT 2003]
question_answer11) Amplitude of a wave is represented by \[A=\frac{c}{a+b-c}\] Then resonance will occur when [CPMT 1984]
question_answer12) A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force \[F\sin \omega t\]. If the amplitude of the particle is maximum for \[\omega ={{\omega }_{1}}\] and the energy of the particle is maximum for \[\omega ={{\omega }_{2}}\], then (where w0 natural frequency of oscillation of particle) [CBSE PMT 1998]
question_answer13) A simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to [AFMC 2003; JIPMER 1999]
question_answer14) A simple pendulum oscillates in air with time period T and amplitude A. As the time passes [CPMT 2005]
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