A particle of mass $m$ is dropped from a height $R$ equal to the radius of the earth above the tunnel dug through the earth as shown in the figure. Hence the correct statement is
Diffcult
Download our app for free and get started
(d)
When the particle is outside the tunnel force acting on it is $\propto \frac{1}{r^2}$ where, $r$ is the distance from the centre of the earth.
When the particle is inside the tunnel force acting on it is $\propto \frac{1}{r}$ where, $r$ is the distance from the centre of the earth.
In both cases, force is always directed towards the centre of the earth.
Thus motion is oscillatory and also periodic but not $SHM$.
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A particle executing $SHM$ of amplitude $4\,cm$ and $T = 4s.$ The time taken by it to move from $+2\,cm$ to $+2\sqrt 3\,cm$ isView Solution
- 2A particle of mass $10 \,g$ is undergoing $S.H.M.$ of amplitude $10 \,cm$ and period $0.1 \,s$. The maximum value of force on particle is about ............ $N$View Solution
- 3View SolutionSelect wrong statement about simple,harmonic motion
- 4The displacement equation of a particle is $x = 3\sin 2t + 4\cos 2t.$ The amplitude and maximum velocity will be respectivelyView Solution
- 5A particle has simple harmonic motion. The equation of its motion is $x = 5\sin \left( {4t - \frac{\pi }{6}} \right)$, where $x$ is its displacement. If the displacement of the particle is $3$ units, then it velocity isView Solution
- 6Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$View Solution
- 7A particle moves with simple harmonic motion in a straight line. In first $\tau \,s,$ after starting from rest it travels a distance $a,$ and in next $\tau \,s$ it travels $2a,$ in same direction, thenView Solution
- 8Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated in the figure. The simple harmonic motion of the $x-$ projection of the radius vector of the rotating particle $P$ isView Solution
- 9A particle executing $S.H.M.$ its potential energy $V/S$ displacement graph is given by The value of restoring force constant is ..... $N/m$View Solution
- 10The function $sin^2\,(\omega t)$ representsView Solution