Motion Test - 5

According to the question the correct option will be ‘B’ because the walls are at rest with respect to the Earth. When we are sitting in the classroom, we are also at rest with respect to the Earth, and so the walls do not seem to be moving to us.

 According to the question the correct option will be ‘A’ because an object performing SHM moves along a straight path.

For large amplitudes, a pendulum moves in acurved path.

According to the question the correct option will be ‘D’ because a body is said to be in motion, if it changes its position with respect to its surrounding.'

Example;-Circular motion;"The motion of an object in a circular path is known as circular motion"

Linear motion-"(also called rectilinear motion) is one dimensional motion along straight line"

Periodic motion-Motion repeated in equal intervals of time.

According to the question, the correct option will be ‘A’ because Oscillator motion is toand fro motion about a mean position. Earth motion is not a to and fro motion here;hence it is not an oscillatory motion. But as earth motion is repeated in aregular interval of time, its motion is periodic.

According to the question the correct option will be ‘A’ because Earth is continuously movingin its orbit around the sun and on its own axis.
So, it is in the state of motion.

According to the question the correct option will be ‘A’ because when the position of a body does not change with respect its surroundings and time the body is said to be in rest.

But moon is in motion with respect to earth while other object like book, table and tree are in rest with respect to earth. When these objects are viewed from other planet, then they will appear moving with earth velocity.

According to the question the correct option will be ‘A’ because A flying insect is an example of random motion (irregular motion).

According to the question the correct option will be ‘A’ because Periodic motion is any motion that recurs in identical forms at equal intervals of time.

A motion that is regular and repeating is referred to as a periodic motion. Most objects that vibrate do so in a regular and repeated fashion; their vibrations are periodic. Examples of periodic motion:

Periodic motion is performed by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave. In each case the interval of time for a repetition, or cycle, of the motion is called a period, while the number of periods per unit time is called the frequency. Thus, the period of the Earth's orbit is one year, and its frequency is one orbit per year. A tuning fork might have a frequency of 1,000 cycles per second and a period of 1 millisecond (1 thousandth of a second).

Simple harmonic motion is a special case of periodic motion. In the examples given above, the rocking chair, the tuning fork, the swing, and the water wave execute simple harmonic motion, but the bouncing ball and the Earth in its orbit do not.

According to the question the correct option will be ‘C’ because A particle oscillating on ground possesses both kinetic as well as potential energy.

 Force F = kx

⇒ k=$\frac{f}{x}$=$\frac{0.6\times 10}{0.3}$=20N/m

T=$\sqrt[2\mathrm{\pi }]{\frac{m}{k}}$=$\sqrt[2\mathrm{\pi }]{\frac{0.20}{20}}$=0.628s 

According to the question the correct option will be ‘A’ because the explanation of option A.

The given function is-

Sinωt–cosωt

$=\sqrt{2}\left[\frac{1}{\sqrt{2}}\sin wt -\frac{1}{\sqrt{2}}\cos wt\right]$

=$=\sqrt{2}\left[\sin wt\times \cos \frac{\mathrm{\pi }}{4}-\cos wt\times \sin \frac{\mathrm{\pi }}{4}\right]$
$=\sqrt{2}\sin \left(wt-\frac{\mathrm{\pi }}{4}\right).$

This function represents SHM as it can bewritten in the form : asin (ωt+ϕ) 

Its period is $\frac{2\mathrm{\pi }}{w}$

Hence, the option A is the correct answer.

Before reaching origin, distance travelled by Sunil is more than Rahul since he is ahead of Rohit. But displacement of Rohit is more; as he is far from the origin than Sunil.

According to the question the correct option will be ‘A’ because Smoke particles from the chimney have velocities in different direction and thus they exhibit random or irregular motion.

According to the question the correct option will be ‘A’ because The reciprocal of frequency is its time period.

According to the question the correct option will be ‘A’ because Rectilinear motion is another name for straight line motion.

Ex: a train moving on a track.