The equation of a wave travelling in a string can be written as y = 3 cos π (100t - x). Its wavelength is (y in cm)

Question

The equation of a wave travelling in a string can be written as y = 3 cos π (100t - x). Its wavelength is (y in cm) (A) 3 cm (B) 100 cm (C) 2 cm (D) 5 cm

Tardigrade Admin · Accepted Answer

Here, y = 3 cos π (100t - x) Comparing it with y = A cos (2 π/λ) (vt - x) ,we get (2 π /λ) = π or λ = 2 cm

Q. The equation of a wave travelling in a string can be written as $y = 3 cos π (100 t - x)$ . Its wavelength is ( $y$ in cm)

3 cm

100 cm

2 cm

5 cm

Here, $y = 3 cos π (100 t - x)$
Comparing it with $y = A cos \frac{2 π}{λ} (v t - x)$ ,we
get
$\frac{2 π}{λ} = π$ or $λ$ = 2 cm

Q. The equation of a wave travelling in a string can be written as y=3cosπ(100t−x). Its wavelength is (y in cm)