EASY

Earn 100

Plot a graph between frequency versus per unit length of a given wire under constant tension using a sonometre.

Important Questions on Sound

EASY

Science>Physics>Sound>Oscillations of a Stretched String

Two identical strings

X

and

Z

made of same material have tension

T_{X}

and

T_{Z}

in then if their fundamental frequencies are

450 Hz

and

300 Hz

, respectively, then the ratio

T_{X} / T_{Z}

is :

EASY

Science>Physics>Sound>Oscillations of a Stretched String

The length of the string of a musical instrument is

90 cm

and has a fundamental frequency of

120 Hz

Where should it be pressed to produce fundamental frequency of

180 Hz ?

HARD

Science>Physics>Sound>Oscillations of a Stretched String

The ratio of the fundamental frequencies of two identical strings after one of them was stretched by

2 %

and the other by

4 %

is (Assume that the tension is proportional to the elongation)

HARD

Science>Physics>Sound>Oscillations of a Stretched String

In Melde’s experiment, when tension in the string is

10 g

wt then three loops are obtained. Determine the tension in the string required to obtain four loops, if all other conditions are constant.

HARD

Science>Physics>Sound>Oscillations of a Stretched String

Two uniform wires of the same material are vibrating under the same tension. If the first overtone of the first wire is equal to the second overtone of the second wire and radius of the first wire is twice the radius of the second wire then the ratio of the lengths of the first wire to second wire is

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

When a string is divided into three segments of lengths $l_{1}, l_{2} and l_{3}$ the fundamental frequencies of these three segments are $ν_{1}, ν_{2} and ν_{3}$ respectively. The original fundamental frequency $ν$ of the string is

EASY

Science>Physics>Sound>Oscillations of a Stretched String

Two identical wires are vibrating in unison. If the tension in one of the wires is increased by

2 %

, five beats are produced per second by the two vibrating wires. The initial frequency of each wire is

(\sqrt{1.02} = 1.01)

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

Two strings of the same material and same length are given equal tension. If they are vibrating with fundamental frequencies

1600 Hz

and

900 Hz,

then the ratio of their respective diameters is

EASY

Science>Physics>Sound>Oscillations of a Stretched String

A steel wire with mass per unit length

7.0 \times 10^{- 3} kg m^{- 1}

is under tension of

70 N

. The speed of transverse waves in the wire will be:

HARD

Science>Physics>Sound>Oscillations of a Stretched String

A stretched sonometer wire is in unison with a tuning fork. When the length of the wire is increased by 5%, the number of beats heard per second is 10. Find the frequency of the tuning fork.

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

A wire is in unison with a fork of frequency $250 Hz$ , when stretched by a weight hanging vertically. On immersing the weight in water, the wire produces ten beats per second with the same fork. Calculate density of material of weight, if density of water is $1 g per cc$ .

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

A stretched sonometer wire is in unison with a tuning fork. When the length is increased by $4 %$ , the number of beats heard per second is $6$ . Find the frequency of the fork.

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

Two uniform strings

A

and

B

made of steel are made to vibrate under the same tension. If the first overtone of

A

is equal to the second overtone of

B

and if the radius of

A

is twice that of

B

, the ratio of the lengths of the strings is

EASY

Science>Physics>Sound>Oscillations of a Stretched String

In an experiment with sonometer a tuning fork of frequency

256 Hz

resonates with a length of

25 cm

and another tuning fork resonates with a length of

16 cm

. The tension of the string remaining constant the frequency of the second tuning fork is

HARD

Science>Physics>Sound>Oscillations of a Stretched String

The fundamental frequency of a stretched sonometer wire is

f_{0}

. When its tension is increased by

96 %

and length decreased by

35 %

, its fundamental frequency becomes

η_{1} f_{0}

. When its tension is decreased by

36 %

and its length is increased by

30 %

, its fundamental frequency becomes

η_{2} f_{0}

. Find

\frac{η_{1}}{η_{2}}

EASY

Science>Physics>Sound>Oscillations of a Stretched String

A stretched wire of some length under a tension is vibrating with its fundamental frequency. Its length is decreased by

45 %

and tension is increased by

21 %

. Now fundamental frequency

EASY

Science>Physics>Sound>Oscillations of a Stretched String

Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is

1 : 4 : 9 : 16

then the ratio of their fundamental frequencies are :-

EASY

Science>Physics>Sound>Oscillations of a Stretched String

For definite length of wire, if the weight used for applying tension is immersed in water, then frequency will

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

Represent the union of two sets by Venn diagram for each of the following.

$X = {x | x$ is a prime number between $80$ and $100}$

$Y = {y | y$ is an odd number between $90$ and $100}$

MEDIUM

Science>Physics>Sound>Oscillations of a Stretched String

In Melde's experiment, the string vibrates in 4 loops when a 50 g weight is placed in the pan of weight 15 g. To made the string vibrate in 6 loops, the weight that has to be removed from the pan in approximately

Plot a graph between frequency versus per unit length of a given wire under constant tension using a sonometre.

Important Questions on Sound

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