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Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringStandingHard2 minPYQ_2017
PhysicsHardsingle choice

Two wiresW1andW2have the same radiusr and respective, densitiesρ1andρ2, such thatρ2=4ρ1. They are joined together at the pointO, as shown in the figure. The combination is used as a sonometer wire and kept under tensionT. The pointOis midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number of antinodes formed inW1toW2is

Question diagram: Two wires W 1 and W 2 have the same radius r and respective,

Options:

Answer:
B
Solution:

Let p1 and p2 be the number of antinodes of both wires.

Fundamental frequency remains the same for both wires. 

n1=n2

Tsame

rsame

lsame

n=p2l Tπr2ρ

From the above equation, we have 
p1ρ1  =p2ρ2  

p1p2= ρ1ρ2

The ratio of antinodes is p1p2=12

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Standing
2mℹ️ Source: PYQ_2017

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