The graph in figure represents
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- 1Two simple harmonic motions are represented by the equations $x_{1}=5 \sin \left(2 \pi t+\frac{\pi}{4}\right), x_{2}=5 \sqrt{2}(\sin 2 \pi t+\cos 2 \pi t)$ The ratio of the amplitude of $x_{1}$ and $x_{2}$ isView Solution
- 2A simple pendulum has time period $T$. The bob is given negative charge and surface below it is given positive charge. The new time period will beView Solution
- 3Starting 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?View Solution
- 4Given below are two statements:View Solution
Statement $I :$ A second's pendulum has a time period of $1$ second.
Statement $II :$ It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below:
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- 6A ball is rolling without slipping in a spherical shallow bowl (radius $R$ ) as shown in the figure and is executing simple harmonic motion. If the radius of the ball is doubled, then the time period of oscillationView Solution
- 7The particle executing $SHM$ of amplitude $'a'$ has displacement $-\frac {a}{2}$ at $t = \frac {T}{4}$ and a positive velocity. Find the initial phase of particleView Solution
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- 10View SolutionThe velocity of a particle performing simple harmonic motion, when it passes through its mean position is