Question 15: Waves

Question

The equation of progressive wave is given by $$Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi  \over 6}} \right]$$ cm. Which one of the following is correct?

Accepted Answer

Given,
$$Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi  \over 6}} \right]$$ ...... (i)
The general equation of progressive wave is
$$Y = A\sin \left[ {2\pi \left( {{t \over T} - {x \over \lambda }} \right) + \phi } \right]$$ ...... (ii)
On comparing Eq. (i) with Eq. (ii), we get
A = 1 cm, f = 0.1 Hz, v = 1.8 cm/s and $${{2\pi } \over \lambda } = {\pi  \over 9}$$
$$\Rightarrow$$ $$\lambda$$ = 18 cm

Answer

v = 5 cm/s

Answer

$$\lambda$$ = 18 cm

Answer

A = 0.04 cm

Answer

f = 50 Hz

Waves

The equation of progressive wave is given by $Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi \over 6}} \right]$ cm. Which one of the following is correct?

Choose the correct answer: