Tag: standing waves in strings

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Questions Related to standing waves in strings

Multiple choice physics oscillations and waves standing waves in strings standing waves reflection of waves

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2 m long. The length of the open pipe is

  1. 8 m

  2. 4 m

  3. 2 m

  4. 1 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$l _0=$ length of organ pipe (open)

$l _c=$ length of close organ pipe
frequency of open pipe$=\cfrac{3V}{2l _0}$
frequency of close pipe $=\cfrac{3V}{2l _c}$
$\therefore \cfrac{3V}{2l _0}=\cfrac{3V}{4l _c}\2l _0=4l _c\2\times2m=4m$
B is the correct option.

Multiple choice physics oscillations and waves standing waves in strings standing waves reflection of waves

A guitar string is $90 cm$ long and has a fundamental frequency of $124 Hz$. To produce a fundamental frequency of $186 Hz$, the guitar should be pressed at ?

  1. $60 cm$
  2. $30 cm$
  3. $20 cm$
  4. $ 10 cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Here, $L _1 = 90 cm, \upsilon _1 = 124 Hz, \upsilon _2 = 186 Hz, L _2=?$

According to the law of length, $\upsilon _2L _2 = \upsilon _1L _1$

$\therefore \upsilon _2= \dfrac{\upsilon _1L _1}{\upsilon _2} = \dfrac{124 \times 90}{186} = 60 cm$