Resonance and Frequency
WAVES

173153 A wire of length $L$ and linear density $m$ is stretched by force $T$ and the frequency is $n_{1}$ Another wire of same material of length $2 \mathrm{~L}$ and same linear density is stretched by a force $9 \mathrm{~T}$ and its frequency is $n_{2}$. Then, the value of $\left(\mathbf{n}_{2} / \mathbf{n}_{1}\right)$ is

1 $4: 1$
2 $1: 3$
3 $3: 2$
4 $1: 2$
WAVES

173154 A uniform staring of length $1.5 \mathrm{~m}$ has two successive harmonics of frequencies $70 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$. The speed of the wave in the string (in $\mathrm{ms}^{-1}$ ) is:

1 84
2 42
3 21
4 10.5
WAVES

173155 The frequency of a tuning fork is $256 \mathrm{~Hz}$. The velocity of sound in air $344 \mathrm{~ms}^{-1}$. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is:

1 21
2 43
3 86
4 129
WAVES

173156 Two identical strings of the same material, same diameter and same length are in unison, when stretched by the same tension. If the tension on one string is increased by $21 \%$ the number of beats heard per second is ten. The frequency of the note in hertz, when the strings are in unison is:

1 210
2 200
3 110
4 100
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WAVES

173153 A wire of length $L$ and linear density $m$ is stretched by force $T$ and the frequency is $n_{1}$ Another wire of same material of length $2 \mathrm{~L}$ and same linear density is stretched by a force $9 \mathrm{~T}$ and its frequency is $n_{2}$. Then, the value of $\left(\mathbf{n}_{2} / \mathbf{n}_{1}\right)$ is

1 $4: 1$
2 $1: 3$
3 $3: 2$
4 $1: 2$
WAVES

173154 A uniform staring of length $1.5 \mathrm{~m}$ has two successive harmonics of frequencies $70 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$. The speed of the wave in the string (in $\mathrm{ms}^{-1}$ ) is:

1 84
2 42
3 21
4 10.5
WAVES

173155 The frequency of a tuning fork is $256 \mathrm{~Hz}$. The velocity of sound in air $344 \mathrm{~ms}^{-1}$. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is:

1 21
2 43
3 86
4 129
WAVES

173156 Two identical strings of the same material, same diameter and same length are in unison, when stretched by the same tension. If the tension on one string is increased by $21 \%$ the number of beats heard per second is ten. The frequency of the note in hertz, when the strings are in unison is:

1 210
2 200
3 110
4 100
WAVES

173153 A wire of length $L$ and linear density $m$ is stretched by force $T$ and the frequency is $n_{1}$ Another wire of same material of length $2 \mathrm{~L}$ and same linear density is stretched by a force $9 \mathrm{~T}$ and its frequency is $n_{2}$. Then, the value of $\left(\mathbf{n}_{2} / \mathbf{n}_{1}\right)$ is

1 $4: 1$
2 $1: 3$
3 $3: 2$
4 $1: 2$
WAVES

173154 A uniform staring of length $1.5 \mathrm{~m}$ has two successive harmonics of frequencies $70 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$. The speed of the wave in the string (in $\mathrm{ms}^{-1}$ ) is:

1 84
2 42
3 21
4 10.5
WAVES

173155 The frequency of a tuning fork is $256 \mathrm{~Hz}$. The velocity of sound in air $344 \mathrm{~ms}^{-1}$. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is:

1 21
2 43
3 86
4 129
WAVES

173156 Two identical strings of the same material, same diameter and same length are in unison, when stretched by the same tension. If the tension on one string is increased by $21 \%$ the number of beats heard per second is ten. The frequency of the note in hertz, when the strings are in unison is:

1 210
2 200
3 110
4 100
WAVES

173153 A wire of length $L$ and linear density $m$ is stretched by force $T$ and the frequency is $n_{1}$ Another wire of same material of length $2 \mathrm{~L}$ and same linear density is stretched by a force $9 \mathrm{~T}$ and its frequency is $n_{2}$. Then, the value of $\left(\mathbf{n}_{2} / \mathbf{n}_{1}\right)$ is

1 $4: 1$
2 $1: 3$
3 $3: 2$
4 $1: 2$
WAVES

173154 A uniform staring of length $1.5 \mathrm{~m}$ has two successive harmonics of frequencies $70 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$. The speed of the wave in the string (in $\mathrm{ms}^{-1}$ ) is:

1 84
2 42
3 21
4 10.5
WAVES

173155 The frequency of a tuning fork is $256 \mathrm{~Hz}$. The velocity of sound in air $344 \mathrm{~ms}^{-1}$. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is:

1 21
2 43
3 86
4 129
WAVES

173156 Two identical strings of the same material, same diameter and same length are in unison, when stretched by the same tension. If the tension on one string is increased by $21 \%$ the number of beats heard per second is ten. The frequency of the note in hertz, when the strings are in unison is:

1 210
2 200
3 110
4 100