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Standard XII

Physics

Revisiting Standing Waves

A steel wire ...

Question

A steel wire of length 60 cm and area of cross-section $10^{- 6}$ $m^{2}$ is joined with an aluminium wire of length 45 cm and area of cross-section $10^{- 6} m^{2}$ . The composition string is stretched by tension of 80 N. Density of steel is 7800 kg $m^{- 3}$ and that of aluminium is 2600 kg $m^{- 3}$ .The minimum frequency fork which can produce standing wave in it with node at the joint is?

357.3 Hz

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375.3 Hz

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337.5 Hz

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325.5 Hz

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Solution

The correct option is C 337.5 Hz

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Similar questions

Q. A steel wire of length

60 c m

and area of cross section

10^{- 6} m^{2}

is joined with an aluminium wire of length

45 c m

and area of cross section

3 \times 10^{- 6} m^{2}

. The composite string is stretched by a tension of

80 N

. Density of steel is

7800 k g m^{- 3}

and that of aluminium is

2600 k g m^{- 3}

. The minimum frequency of tuning fork, which can produce standing wave in it with node at the joint is

Q. An aluminium wire of length

60 c m

is joined to a steel wire of length

80 c m

and stretched between two fixed supports. The tension produced is

40 N

. Cross-sectional area is

1 m m^{2}

(steel) and

3 m m^{2}

(aluminium). The minimum frequency of the tuning fork which can produce standing waves with the joint as a node is _____________
(Density of

A l = 2.6 g c c^{- 1}

and density of steel =

7.8 g c c^{- 1}

)

Q. Figure (15-E10) shows an aluminium wire of length 60 cm joined to a steel wire of length 80 cm and stretched between two fixed supports. The tension produced is 40 N. The cross-sectional area of the steel wire is 1⋅0 mm² and that of the aluminium wire is 3⋅0 mm². What could be the minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node? The density of aluminium is 2⋅6 g cm⁻³ and that of steel is 7⋅8 g cm⁻³.

Figure (15-E10) shows an aluminium wire of length 60 cm joined to a steel wire of length 80 cm and stretched between two fixed supports. The tension produced is 40 N. The cross-selectional area of the steel wire is $1.0 m m^{2}$ and that of the aluminium wire is $3.0 m m^{2}$ . What could be the minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node ? The density of aluminium is $2.6 g c m^{- 3}$ and that of steel is $7.8 g c m^{- 3}$