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PHXI15:WAVES

354899 An empty vessel is filled partially with water natural frequency

1 Increase

2 Decrease

3 Remains unchanged

4 Insufficient data

PHXI15:WAVES

354900 The fundamental frequency of a closed pipe is $210 H z$ . If $\frac{1}{2}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is

1

1260 H z

2

210 H z

3

420 H z

4

630 H z

Explanation:

For closed pipe $f_{0} = \frac{v}{4 L} = 210 H z$
After filling with water the frequency of the first overtone is
$f = \frac{3 v}{4 (\frac{L}{2})} = \frac{3 v}{2 L} = 1260 H z$

PHXI15:WAVES

354901 A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^{\circ} C$ two successive resonances are produced at $20 c m$ and $73 c m$ of column length. If the frequency of the tuning fork is $320 H z$ , the velocity of sound in air at $27^{\circ} C$ is

1

350 m / s

2

300 m / s

3

339 m / s

4

330 m / s

Explanation:

$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{3 v}{4 (L_{2} + e)}$
$L_{2} + e = 3 (L_{1} + e)$
$2 e = L_{2} - 3 L_{1}$
$e = \frac{L_{2} - 3 L_{1}}{2} = \frac{73 - 60}{2} = \frac{13}{2} c m = 6.5 c m$
$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{v}{(80 + 26) \times 10^{- 2}}$
$V = 339 m / s$

NEET - 2018

PHXI15:WAVES

354902 In a resonance column experiment the first resonance is obtained when the level of the water in tube is $20 c m$ from the open end. Resonance will also be obtained when the water level is at a distance of (assume no end error)

1

40 c m

from the open end

2

60 c m

from the open end

3

80 c m

from the open end

4

98 c m

from the open end

Explanation:

$l_{2} = 3 l_{1}$
$l_{2} = 3 \times 20 = 60 c m$

PHXI15:WAVES

354899 An empty vessel is filled partially with water natural frequency

1 Increase

2 Decrease

3 Remains unchanged

4 Insufficient data

PHXI15:WAVES

354900 The fundamental frequency of a closed pipe is $210 H z$ . If $\frac{1}{2}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is

1

1260 H z

2

210 H z

3

420 H z

4

630 H z

Explanation:

For closed pipe $f_{0} = \frac{v}{4 L} = 210 H z$
After filling with water the frequency of the first overtone is
$f = \frac{3 v}{4 (\frac{L}{2})} = \frac{3 v}{2 L} = 1260 H z$

PHXI15:WAVES

354901 A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^{\circ} C$ two successive resonances are produced at $20 c m$ and $73 c m$ of column length. If the frequency of the tuning fork is $320 H z$ , the velocity of sound in air at $27^{\circ} C$ is

1

350 m / s

2

300 m / s

3

339 m / s

4

330 m / s

Explanation:

$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{3 v}{4 (L_{2} + e)}$
$L_{2} + e = 3 (L_{1} + e)$
$2 e = L_{2} - 3 L_{1}$
$e = \frac{L_{2} - 3 L_{1}}{2} = \frac{73 - 60}{2} = \frac{13}{2} c m = 6.5 c m$
$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{v}{(80 + 26) \times 10^{- 2}}$
$V = 339 m / s$

NEET - 2018

PHXI15:WAVES

354902 In a resonance column experiment the first resonance is obtained when the level of the water in tube is $20 c m$ from the open end. Resonance will also be obtained when the water level is at a distance of (assume no end error)

1

40 c m

from the open end

2

60 c m

from the open end

3

80 c m

from the open end

4

98 c m

from the open end

Explanation:

$l_{2} = 3 l_{1}$
$l_{2} = 3 \times 20 = 60 c m$

PHXI15:WAVES

354899 An empty vessel is filled partially with water natural frequency

1 Increase

2 Decrease

3 Remains unchanged

4 Insufficient data

PHXI15:WAVES

354900 The fundamental frequency of a closed pipe is $210 H z$ . If $\frac{1}{2}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is

1

1260 H z

2

210 H z

3

420 H z

4

630 H z

Explanation:

For closed pipe $f_{0} = \frac{v}{4 L} = 210 H z$
After filling with water the frequency of the first overtone is
$f = \frac{3 v}{4 (\frac{L}{2})} = \frac{3 v}{2 L} = 1260 H z$

PHXI15:WAVES

354901 A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^{\circ} C$ two successive resonances are produced at $20 c m$ and $73 c m$ of column length. If the frequency of the tuning fork is $320 H z$ , the velocity of sound in air at $27^{\circ} C$ is

1

350 m / s

2

300 m / s

3

339 m / s

4

330 m / s

Explanation:

$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{3 v}{4 (L_{2} + e)}$
$L_{2} + e = 3 (L_{1} + e)$
$2 e = L_{2} - 3 L_{1}$
$e = \frac{L_{2} - 3 L_{1}}{2} = \frac{73 - 60}{2} = \frac{13}{2} c m = 6.5 c m$
$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{v}{(80 + 26) \times 10^{- 2}}$
$V = 339 m / s$

NEET - 2018

PHXI15:WAVES

354902 In a resonance column experiment the first resonance is obtained when the level of the water in tube is $20 c m$ from the open end. Resonance will also be obtained when the water level is at a distance of (assume no end error)

1

40 c m

from the open end

2

60 c m

from the open end

3

80 c m

from the open end

4

98 c m

from the open end

Explanation:

$l_{2} = 3 l_{1}$
$l_{2} = 3 \times 20 = 60 c m$

PHXI15:WAVES

354899 An empty vessel is filled partially with water natural frequency

1 Increase

2 Decrease

3 Remains unchanged

4 Insufficient data

PHXI15:WAVES

354900 The fundamental frequency of a closed pipe is $210 H z$ . If $\frac{1}{2}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is

1

1260 H z

2

210 H z

3

420 H z

4

630 H z

Explanation:

For closed pipe $f_{0} = \frac{v}{4 L} = 210 H z$
After filling with water the frequency of the first overtone is
$f = \frac{3 v}{4 (\frac{L}{2})} = \frac{3 v}{2 L} = 1260 H z$

PHXI15:WAVES

354901 A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27^{\circ} C$ two successive resonances are produced at $20 c m$ and $73 c m$ of column length. If the frequency of the tuning fork is $320 H z$ , the velocity of sound in air at $27^{\circ} C$ is

1

350 m / s

2

300 m / s

3

339 m / s

4

330 m / s

Explanation:

$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{3 v}{4 (L_{2} + e)}$
$L_{2} + e = 3 (L_{1} + e)$
$2 e = L_{2} - 3 L_{1}$
$e = \frac{L_{2} - 3 L_{1}}{2} = \frac{73 - 60}{2} = \frac{13}{2} c m = 6.5 c m$
$f_{0} = \frac{v}{4 (L_{1} + e)} = \frac{v}{(80 + 26) \times 10^{- 2}}$
$V = 339 m / s$

NEET - 2018

PHXI15:WAVES

354902 In a resonance column experiment the first resonance is obtained when the level of the water in tube is $20 c m$ from the open end. Resonance will also be obtained when the water level is at a distance of (assume no end error)

1

40 c m

from the open end

2

60 c m

from the open end

3

80 c m

from the open end

4

98 c m

from the open end

Explanation:

$l_{2} = 3 l_{1}$
$l_{2} = 3 \times 20 = 60 c m$