The equation of a wave travelling in a string can be written as y-3 cos-100 t-x- Its wavelength is -MNR 1985- CPMT 1991- MP PMT 1994- 97- Pb- PET 2004-

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Wavelength

The equation ...

Question

The equation of a wave travelling in a string can be written as
$y = 3 c o s π (100 t - x)$ . Its wavelength is
[MNR 1985; CPMT 1991; MP PMT 1994, 97; Pb. PET 2004]

100 cm

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2 cm

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5 cm

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None of the above

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Solution

The correct option is B
2 cm

Comparing thegiven equation with $y = a c o s (ω t - k x)$

We get $k = \frac{2 π}{λ} \Rightarrow λ = 2 c m$

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The equation of a wave travelling in a string can be written as y=3 cos π(100 t−x). Its wavelength is [MNR 1985; CPMT 1991; MP PMT 1994, 97; Pb. PET 2004]

The correct option is B 2 cm Comparing thegiven equation with y=a cos(ωt−kx) We get k=2πλ⇒λ=2 cm

The equation of a wave travelling in a string can be written as
$y = 3 c o s π (100 t - x)$ . Its wavelength is
[MNR 1985; CPMT 1991; MP PMT 1994, 97; Pb. PET 2004]

The correct option is B
2 cm

Comparing thegiven equation with $y = a c o s (ω t - k x)$

We get $k = \frac{2 π}{λ} \Rightarrow λ = 2 c m$