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A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin (0.157x) cos (200 t). The length of the string is : (All quantities are in SI units)

(a)

60 m

(b)

20 m

(c)

40 m

(d)

80 m



Question ID - 51241 | SaraNextGen Top Answer

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin (0.157x) cos (200 t). The length of the string is : (All quantities are in SI units)

(a)

60 m

(b)

20 m

(c)

40 m

(d)

80 m

1 Answer
127 votes
Answer Key / Explanation : (d) -

 = 0.157

=  =

In 4th harmonic

∴   =

 = 40 m

∴  L =  = 80m

127 votes


127