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A drop cap is the where the first character of the first paragraph is made larger, taking up several lines of text or the first few sentences. Drop caps are used in various media, including books, newspaper articles, documents, and webpages. Drop caps add style or grab a reader's attention.
(i) Pendulums A, B, C and D are tied to a flexible string PQ and are at rest. Pendulum C is disturbed. Which of the following statements is true? (a) Only pendulum C will start vibrating. (b) Pendulums A, B and D will also start vibrating but A and D will vibrate with the maximum amplitude. (c) Pendulums A, B and D will also start vibrating. (d) Vibrations of pendulum C are forced vibrations.
(ii) Since the length of pendulum C is same as that of A therefore it is in the state of resonance.
(iii) The pendulum C has its length same as that of A therefore its natural time period is also same that of A and both remain in same phase; so resonance takes place. But B's length is lesser than the length of A hence B would vibrate with smaller amplitude.
The right answer to the given question is option(c): Pendulum A, B, and D will also start vibrating.
Explanation:
A pendulum is known as the body suspended from a fixed point so that it can swing back and forth freely.
When a Pendulum is disturbed, it starts moving sideways from its resting position.
It travels to its extremes and finally comes back to its resting position or equilibrium position.
This vibrating motion of the pendulum is regular and repetitive.
The phenomena of increase in amplitude that happens when the frequency of a periodic force matches with the natural frequency of the body it acts on, is called resonance.
The pendulum has a resonant frequency, which is indirectly proportional to the length of the pendulum.
Here, the pendulum C is the longest so it will have the lowest resonant frequency.
Since the lengths of all the pendulums are not the same so the resonant frequency of pendulum C will not match the natural frequency of others.
But since they are tied to the same flexible string, other pendulums will also start vibrating when pendulum C vibrates as it provides a slight pull on the string PQ.
Though the vibrations of other pendulums will be in uneven motion.
So, When the pendulum C is disturbed then the pendulum A, B, and D will also vibrate but in a rough motion.