30 Transverse waves are generated in two uniform wires A and B of the same material by attaching their free - Physics - Electromagnetic Waves

Question

30 Transverse waves are generated in two uniform wires A and B of
the same material by attaching their free ends to a vibrating
source of frequency 200Hz The area of cross section of A is half
that of B while tension on A is twice than on B The ratio of
wavelengths of transverse waves in A and B is ---------

Zafar · Accepted Answer

VELOCITY OF A WAVE ON A
STRING IS GIVEN BY THE RELATION V=Tμ
WHERE T is the tension in the string and μ is the mass per unit
length
according to given question TA=2T AND TB=T
AND μAμB=21
Ratio of velocities of the waves on the two strings
VAVB=TAμBTBμA=22=1⇒VA=VB
As the velocities of waves in the two string is same and the
frequency is also the same in the two string , hence wavelength of
the waves in the two strings will also be equal The ratio of
wavelength in the two string will be 1