Resonance and Frequency
WAVES

173145 A tuning fork of frequency $392 \mathrm{~Hz}$, resonates with $50 \mathrm{~cm}$ length of a string under tension $T$. If the length of the string is decreased by $2 \%$ keeping the tension constant the number of beats heard when the string and the tuning fork are made to vibrate simultaneously is

1 8
2 12
3 4
4 6
WAVES

173146 A thin wire of length of $99 \mathrm{~cm}$ is fixed at both ends as shown in the figure. The wire is kept under a tension and is divided into three segments of length $l_{1}, l_{2}$,and $l_{3}$ as shown in figure, when the wire is made to vibrate, the segments vibrate respectively with their fundamental frequencies in the ratio $1: 2: 3$ then, the length $l_{1}, l_{2}, l_{3}$ of the segments respectively are (in $\mathrm{cm}$ )

1 $27,54,18$
2 $18,27,54$
3 $54,27,18$
4 27, 914
WAVES

173147 A sono-meter wire has a length of $114 \mathrm{~cm}$, between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in $\mathrm{cm}$ ) whose fundamental frequencies are in the ratio $1: 3: 4$

1 $1_{1}, 1_{2}, 1_{3}=18,24,72$
2 $1_{1}, 1_{2}, 1_{3}=24,18,72$
3 $1_{1}, 1_{2}, 1_{3}=72,18,24$
4 $1_{1}, 1_{2}, 1_{3}=72,24,18$
WAVES

173148 A resonance tube is resonated with a tuning fork of frequency $380 \mathrm{~Hz}$. Two successive lengths of the resonated air-column are found to be $16 \mathrm{~cm}$ and $50 \mathrm{~cm}$. Find the length of the third resonance.

1 $85 \mathrm{~cm}$
2 $72 \mathrm{~cm}$
3 $69 \mathrm{~cm}$
4 $92 \mathrm{~cm}$
WAVES

173145 A tuning fork of frequency $392 \mathrm{~Hz}$, resonates with $50 \mathrm{~cm}$ length of a string under tension $T$. If the length of the string is decreased by $2 \%$ keeping the tension constant the number of beats heard when the string and the tuning fork are made to vibrate simultaneously is

1 8
2 12
3 4
4 6
WAVES

173146 A thin wire of length of $99 \mathrm{~cm}$ is fixed at both ends as shown in the figure. The wire is kept under a tension and is divided into three segments of length $l_{1}, l_{2}$,and $l_{3}$ as shown in figure, when the wire is made to vibrate, the segments vibrate respectively with their fundamental frequencies in the ratio $1: 2: 3$ then, the length $l_{1}, l_{2}, l_{3}$ of the segments respectively are (in $\mathrm{cm}$ )

1 $27,54,18$
2 $18,27,54$
3 $54,27,18$
4 27, 914
WAVES

173147 A sono-meter wire has a length of $114 \mathrm{~cm}$, between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in $\mathrm{cm}$ ) whose fundamental frequencies are in the ratio $1: 3: 4$

1 $1_{1}, 1_{2}, 1_{3}=18,24,72$
2 $1_{1}, 1_{2}, 1_{3}=24,18,72$
3 $1_{1}, 1_{2}, 1_{3}=72,18,24$
4 $1_{1}, 1_{2}, 1_{3}=72,24,18$
WAVES

173148 A resonance tube is resonated with a tuning fork of frequency $380 \mathrm{~Hz}$. Two successive lengths of the resonated air-column are found to be $16 \mathrm{~cm}$ and $50 \mathrm{~cm}$. Find the length of the third resonance.

1 $85 \mathrm{~cm}$
2 $72 \mathrm{~cm}$
3 $69 \mathrm{~cm}$
4 $92 \mathrm{~cm}$
WAVES

173145 A tuning fork of frequency $392 \mathrm{~Hz}$, resonates with $50 \mathrm{~cm}$ length of a string under tension $T$. If the length of the string is decreased by $2 \%$ keeping the tension constant the number of beats heard when the string and the tuning fork are made to vibrate simultaneously is

1 8
2 12
3 4
4 6
WAVES

173146 A thin wire of length of $99 \mathrm{~cm}$ is fixed at both ends as shown in the figure. The wire is kept under a tension and is divided into three segments of length $l_{1}, l_{2}$,and $l_{3}$ as shown in figure, when the wire is made to vibrate, the segments vibrate respectively with their fundamental frequencies in the ratio $1: 2: 3$ then, the length $l_{1}, l_{2}, l_{3}$ of the segments respectively are (in $\mathrm{cm}$ )

1 $27,54,18$
2 $18,27,54$
3 $54,27,18$
4 27, 914
WAVES

173147 A sono-meter wire has a length of $114 \mathrm{~cm}$, between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in $\mathrm{cm}$ ) whose fundamental frequencies are in the ratio $1: 3: 4$

1 $1_{1}, 1_{2}, 1_{3}=18,24,72$
2 $1_{1}, 1_{2}, 1_{3}=24,18,72$
3 $1_{1}, 1_{2}, 1_{3}=72,18,24$
4 $1_{1}, 1_{2}, 1_{3}=72,24,18$
WAVES

173148 A resonance tube is resonated with a tuning fork of frequency $380 \mathrm{~Hz}$. Two successive lengths of the resonated air-column are found to be $16 \mathrm{~cm}$ and $50 \mathrm{~cm}$. Find the length of the third resonance.

1 $85 \mathrm{~cm}$
2 $72 \mathrm{~cm}$
3 $69 \mathrm{~cm}$
4 $92 \mathrm{~cm}$
WAVES

173145 A tuning fork of frequency $392 \mathrm{~Hz}$, resonates with $50 \mathrm{~cm}$ length of a string under tension $T$. If the length of the string is decreased by $2 \%$ keeping the tension constant the number of beats heard when the string and the tuning fork are made to vibrate simultaneously is

1 8
2 12
3 4
4 6
WAVES

173146 A thin wire of length of $99 \mathrm{~cm}$ is fixed at both ends as shown in the figure. The wire is kept under a tension and is divided into three segments of length $l_{1}, l_{2}$,and $l_{3}$ as shown in figure, when the wire is made to vibrate, the segments vibrate respectively with their fundamental frequencies in the ratio $1: 2: 3$ then, the length $l_{1}, l_{2}, l_{3}$ of the segments respectively are (in $\mathrm{cm}$ )

1 $27,54,18$
2 $18,27,54$
3 $54,27,18$
4 27, 914
WAVES

173147 A sono-meter wire has a length of $114 \mathrm{~cm}$, between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in $\mathrm{cm}$ ) whose fundamental frequencies are in the ratio $1: 3: 4$

1 $1_{1}, 1_{2}, 1_{3}=18,24,72$
2 $1_{1}, 1_{2}, 1_{3}=24,18,72$
3 $1_{1}, 1_{2}, 1_{3}=72,18,24$
4 $1_{1}, 1_{2}, 1_{3}=72,24,18$
WAVES

173148 A resonance tube is resonated with a tuning fork of frequency $380 \mathrm{~Hz}$. Two successive lengths of the resonated air-column are found to be $16 \mathrm{~cm}$ and $50 \mathrm{~cm}$. Find the length of the third resonance.

1 $85 \mathrm{~cm}$
2 $72 \mathrm{~cm}$
3 $69 \mathrm{~cm}$
4 $92 \mathrm{~cm}$