Friday

July 25, 2014

July 25, 2014

Posted by **srikala** on Tuesday, May 29, 2012 at 12:37am.

where should the two bridges be placed from A to divide the wire in 3 segments whose fundamental frequencies are in the ratio of 1:2:6

options:

1.60cm,90cm

2.40cm,80cm

- physics -
**Elena**, Tuesday, May 29, 2012 at 4:19pmLet L1, L2, L3 be the lengths of three segments. Then L1+L2+L3 = 100.

Also from the laws of vibrations of stretched string

f1•L1=f2•L2=f3•L3

Given

f1:f2:f3 = 1:2:6.

Therefore,

L2 =L1/2, L3 =L1/6.

L1 + L1/2 + L1/6 = 100,

10•L1/6 = 100.

L1 = 60cm. L2 = L1/2 = 30 cm, L3 =L1/6 = 10 cm.

The first bridge - L1 = 60 cm

The second bridge – L1+l2 = 90 cm

Answer: 1.60cm,90cm

**Related Questions**

physics - A piano tuner stretches a steel piano wire with a tension of 765 N. ...

Physics - PLease Help! - A 38 cm length of wire has a mass of 6.0 g. It is ...

physics - A large rock that weighs 164.0 N is suspended from the lower end of a ...

PHYSICS - A wire carrying a 28.0 A current bends through a right angle. Consider...

physics - A wire carrying a 28.0 A current bends through a right angle. Consider...

physics - Two insulated wires, each 2.70 m long, are taped together to form a ...

Physics...PLZ!! =) - A conducting rod whose length is 25 cm is placed on a U-...

physics - Consider two copper wires with the same cross-sectional area. Wire A ...

physics - A stretched wire vibrates in its fundamental mode at a frequency of ...

physics - Two wires are anchored at both ends. Wire 1 has a mass of 105 grams ...