Tag: sonometer and laws of transverse vibrations

Questions Related to sonometer and laws of transverse vibrations

In Melde's experiment, eight loops are formed with a tension of $0.75\space N$. If the tension is increased to four times then the number of loops produces will be

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. $2$

  2. $4$

  3. $8$

  4. $16$

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Correct Option: B
Explanation:

$Tp^2=constant$
$T _1P _1^2=T _2p _2^2$
$\dfrac{T _2}{T _1}=\dfrac{p _1^2}{p _2^2}$
$\Rightarrow \dfrac{p _1^2}{p _2^2}=4\Rightarrow p _2^2=\dfrac{p _1^2}{4}$
$\Rightarrow p _2^2=\dfrac{64}{4}=16$
$\Rightarrow p _2=4$

Periodic vibrations of decreasing amplitude are called

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. Over Vibrations

  2. Critical Vibrations

  3. Damped Vibrations

  4. None of these

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Correct Option: C

In Melde's experiment, when the tension is 100 g and the tuning fork vibrates at right angles to the direction of the string, 4 loops are produced. If now, the tuning fork is set to vibrate along the string, what additional weight will make the string vibrate in 1 loop? 

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. 400 g

  2. 300 g

  3. 200 g

  4. 100 g

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Correct Option: A

In Melde's experiment the position is changed from parallel to perpendicular. To get same number of loops, What should be the new length if original length is $l$? (Tension in the string is kept constant) 

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. $2l$

  2. $l/2$

  3. $4l$

  4. $l/4$

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Correct Option: A

In Melde's experiment four loops were formed on a string under tension T. When the tension in the string was increased by $3g$, two loops were observed. The original tension T in the string is :

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. $2 g$

  2. $1 g$

  3. $3 g$

  4. $4 g$

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Correct Option: B

In Meldes experiment, the tuning fork is arranged in the parallel position. During $200$ vibrations of the tuning fork, the string ccompletes vibrations

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. $200$

  2. $100$

  3. $50$

  4. $25$

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Correct Option: A

If there are six loops for 1 m length in transverse mode of Melde's experiment., the no. of loops in longitudinal mode under otherwise identical condition would be

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. 3

  2. 6

  3. 12

  4. 8

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Correct Option: A
Explanation:

One cycle of up and down vibration for transverse waves on the string is two cycles of string tension increase and decrease. The tension is maximum both at the loops’ maximum up position and again at maximum down position. Therefore, in longitudinal drive mode, since the string tension increases and decreases once per tuning fork vibration, it takes one tuning fork vibration to move the string loop to maximum up position and one to move it to maximum down position. This is two tuning fork vibrations for one up and down string vibration, so the tuning fork frequency is half the string frequency.
Hence, the number of loops in longitudinal mode(tuning fork) is half of that of transverse mode(string).

In Melde's experiment, the string vibrates in seven segments under tension of $9\space gm-wt$. If string is to be vibrated in three segments then the tension required will be

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. $1.4\space gm$-$wt$

  2. $13\space gm$-$wt$

  3. $49\space gm$-$wt$

  4. $61\space gm$-$wt$

Show answer
Correct Option: C
Explanation:
The frequency is the same before and after changing the Tension and the number of loops.
From the formula $f = \dfrac{n}{2L}\sqrt{(T/m)}$, we get
$\dfrac{7}{2L}\sqrt{(9/m)} = \dfrac{3}{2L}\sqrt{(T'/m)}$
=>$T' = 49 gm-wt$

In Melde's experiment, frequency can _______ by ________number of loops of the  string.

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. increase ,increasing

  2. increase, decreasing

  3. decrease, increasing

  4. decrease, decreasing

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Correct Option: A

The  apparatus of Melde's experiment can be used to test the relationship between 
A. Tension
B. Mass per unit length 
C. Frequency
D. Wavelength
Choose the most appropriate option among the following?

physics free, damped and forced oscillations melde's experiment free, forced and damped oscillations sonometer and laws of transverse vibrations

  1. A, B only

  2. A, C only

  3. A,B,C only

  4. All of the above

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Correct Option: D