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 option from the given ones:
1. (a) only
2. (a), (b), and (d) only
3. (a), (b), and (e) only
4. All of these
Subtopic:  Types of Motion |
 69%
Level 2: 60%+
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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 |
 64%
Level 2: 60%+
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