Which of the following functions of time represent/s periodic motion? [\(\omega\) is any positive constant]
(a) \(\sin\omega t+ \cos \omega t\)
(b) \(\sin\omega t+ \cos 2\omega t+ \sin4\omega t\)
(c) \(e^{-\omega t}\)
(d) \(\mathrm{log(\omega t)}\)
(e) \(\sin^{2}\omega t\)

Choose the correct alternatives:
1. (a)
2. (a), (b), and (d)
3. (a), (b), and (e)
4. All

Subtopic:  Types of Motion |
 67%
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Which of the following statements is/are correct.

a. Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both.
b. Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal.
c. Waves produced by a motorboat sailing in water are transverse and longitudinal, both.
d. Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal.

1. (a), (b) and (d)
2. (b) and (d)
3. (a), (c) and (d)
4. All are correct

Subtopic:  Types of Motion |
 61%
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