Resonance is an example of
AIIMS 2014, Easy
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  • 1
    A particle executes simple harmonic motion along a straight line with an amplitude $A$. The potential energy is maximum when the displacement is
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  • 2
    A spring hangs vertically from the ceiling and a mass is attached to its free end. When the mass is pulled down and released, it oscillates vertically with simple harmonic motion of period $T$ . The variation with time $t$ of its distance from the ceiling is as shown. Which statement gives a correct deduction from this graph?
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  • 3
    Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
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  • 4
    Two masses $m_1$ and $m_2$ connected by a spring of spring constant $k$ rest on a frictionless surface. If the masses are pulled apart and let go, the time period of oscillation is
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  • 5
    Starting from the origin a body oscillates simple harmonically with a period of $2\ s$. After what time will its kinetic energy be $75\%$ of the total energy?
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  • 6
    Time period of a particle executing $SHM$ is $8\, sec.$ At $t = 0$ it is at the mean position. The ratio of the distance covered by the particle in the $1^{st}$ second to the $2^{nd}$ second is :
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  • 7
    Two particles $P$ and $Q$ start from origin and execute Simple Harmonic Motion along $X-$axis with same amplitude but with periods $3$ seconds and $6$ seconds respectively. The ratio of the velocities of $ P$ and $Q$ when they meet is
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  • 8
    The position co-ordinates of a particle moving in a $3-D$ coordinates system is given by $x = a\,cos\,\omega t$ , $y = a\,sin\,\omega t$ and $z = a\omega t$ The speed of the  particle is
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  • 9
    A particle of mass $m$ moves in the potential energy $U$ shown above. The period of the motion when the particle has total energy $E$ is
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  • 10
    A particle executes $S.H.M.$ with amplitude $'a'$ and time period $V$. The displacement of the particle when its speed is half of maximum speed is $\frac{\sqrt{ x } a }{2} .$ The value of $x$ is $\ldots \ldots \ldots$
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