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Similar Questions
- 1What is the period of small oscillations of the block of mass $m$ if the springs are ideal and pulleys are massless ?View Solution
- 2View SolutionIn case of a simple pendulum, time period versus length is depicted by
- 3A body is performing simple harmonic motion with amplitude a and time period $T$. Variation of its acceleration $(f)$ with time $(t)$ is shown in figure. If at time $t$, velocity of the body is $v$, which of the following graphs is correctView Solution
- 4The equation of motion of a particle is $x = a\,cos (\alpha\, t)$ . The motion isView Solution
- 5A particle executes simple harmonic motion with a frequency $f$. The frequency with which its kinetic energy oscillates isView Solution
- 6Column $I$ gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column $II$. Match the set of parameters given in Column $I$ with the graph given in Column $II$. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the $ORS$.View Solution
Column $I$ Column $II$ $(A)$ Potential energy of a simple pendulum (y axis) as a function of displacement ( $\mathrm{x}$ axis) $Image$ $(B)$ Displacement (y axis) as a function of time (x axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive $\mathrm{x}$-direction $Image$ $(C)$ Range of a projectile (y axis) as a function of its velocity ( $\mathrm{x}$ axis) when projected at a fixed angle $Image$ $(D)$ The square of the time period (y axis) of a simple pendulum as a function of its length ( $\mathrm{x}$ axis) $Image$ 
- 7The time period of a simple pendulum is $2\, sec$. If its length is increased $4$ times, then its period becomes ..... $\sec$View Solution
- 8One-forth length of a spring of force constant $K$ is cut away. The force constant of the remaining spring will beView Solution
- 9A block of mass m, attached to a spring of spring constant $k$, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed $v$ when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance $x$ from the mean position, thenView Solution
- 10A block of mass $m$ hangs from three springs having same spring constant $k$. If the mass is slightly displaced downwards, the time period of oscillation will beView Solution
