EASY
11th ICSE
IMPORTANT
Earn 100

A and B are two wires stretched under the same tension. The length of A is twice the length of B and the diameter of A is half the diameter of B. If the density of A is 0.09 times the density of B, then compare the frequencies of A and B.  

Important Questions on Vibrations of Stretched Strings

EASY
11th ICSE
IMPORTANT
The frequency of the fundamental note of a 66 cm long open tube is the same as that of a 20 cm long stretched wire whose mass is 0.1 g cm-1. If the speed of sound in air is 330 m s-1, then determine the tension in the wire.
HARD
11th ICSE
IMPORTANT
A tuning fork produces 5 beats/second with a sonometer wire of length 40 cm. When the length of the wire is decreased by 1 cm, again the same number of beats per second are heard. Calculate the frequency of the fork.
EASY
11th ICSE
IMPORTANT
The frequency of a brass wire is 240 Hz when its tension is 625 N. If its tension is decreased to 100 N and length halved, what will be its frequency?
EASY
11th ICSE
IMPORTANT
The frequency of a sonometer wire is 100 Hz. On doubling the length of the wire and changing tension, the frequency become 75 Hz. Determine the ratio of the initial and final tensions.
HARD
11th ICSE
IMPORTANT
The ratio of frequencies of two wires having same length and same tension and made of the same material is 2:3. If the diameter of one wire be 0.09 cm, then determine the diameter of the other.
MEDIUM
11th ICSE
IMPORTANT
Two forks A and B when sounded together produce 4 beats/second. The fork A is in unison with 30 cm length of a sonometer wire and B is in unison with 25 cm length of the same wire at the same tension. Calculate the frequencies of the forks.
HARD
11th ICSE
IMPORTANT
A weight is suspended from a sonometer wire. When the length of the wire between the bridges is 80 cm, the wire is found in unison with a tuning fork. But when an additional 0.1 kg weight is suspended from it then, to keep it in unison with the same fork, its length between the bridges is to be increased by 1 cm. What weight was suspended from the wire in the beginning?
HARD
11th ICSE
IMPORTANT
A tuning fork is marked 256 number. What does it indicate? It is in unison with the wire of a sonometer whose length is 81 cm and which is under a tension of 4 kg. How can this wire be brought in unison with a fork marked 384 by (i) changing the tension only, (ii) changing the length only?