In a sinusoidal wave the time required for a particular point to move from equilibrium pasition to maximum displacement is 0.17 s, then the frequency of wave is:

Question

In a sinusoidal wave the time required for a particular point to move from equilibrium pasition to maximum displacement is 0.17 s, then the frequency of wave is: (A) 1.47 Hz (B) 0.36 Hz (C) 2.94 Hz (D) 2.48 Hz

Tardigrade Admin · Accepted Answer

Maximum displacement from mean occurs at

\frac{T}{4}

.
For a motion in SHM particle taken one-fourth of periodic time to reach maximum displacement.
Hence, periodic time is given by

T = 0.17 \times 4 = 0.68 s

Hence, frequency

= \frac{1}{time period}

= \frac{1}{0.68} = 1.47 Hz

Q. In a sinusoidal wave the time required for a particular point to move from equilibrium pasition to maximum displacement is $0.17 s$ , then the frequency of wave is:

$1.47 Hz$

$0.36 Hz$

$2.94 Hz$

$2.48 Hz$

Maximum displacement from mean occurs at $\frac{T}{4}$ .
For a motion in SHM particle taken one-fourth of periodic time to reach maximum displacement.
Hence, periodic time is given by

$T = 0.17 \times 4 = 0.68 s$
Hence, frequency $= \frac{1}{time period}$
$= \frac{1}{0.68} = 1.47 Hz$

Q. In a sinusoidal wave the time required for a particular point to move from equilibrium pasition to maximum displacement is 0.17s, then the frequency of wave is:

1.47Hz

0.36Hz

2.94Hz

2.48Hz