Homework Help: physics

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

The length of a sonometer wire AB is 100cm
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 4:19pm
Let 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

Answer this Question

Related Questions

physics - A light rigid bar is suspended horizontally from two vertical wires, ...
physics - A light rigid bar is suspended horizontally from two vertical wires, ...
College Physics - A wire P has resistance R. If the wire is stretched and its ...
Physics - An aluminum wire is hung between two towers and has a length of 175 m...
Calc - A wire 9 meters long is cut into two pieces. One piece is bent into a ...
MINIMIZATION PROBLEM (CALC) - A wire 9 meters long is cut into two pieces. One ...
MINIMIZATION PROBLEM (CALC) - A wire 9 meters long is cut into two pieces. One ...
Physics - A total 3.09e6 electrons are placed on an initially uncharged wire of ...
Physics - A variable-length air column is placed just below a vibrating wire ...
Physics - A variable-length air column is placed just below a vibrating wire ...

For Further Reading

First Name:
School Subject:
Answer: