Verified Solution • 2025–26 Session moderate

QAIPM-2001-Ph-2903: NEET 2001 Physics - Class 11 AIPM-2001-Ph-2903 Solution: If the tension and diameter of a sonometer wire of fundamental…

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

Multiple Choice Options

  • A π4\frac{\pi}{4}
  • B 2n\sqrt{2}n
  • C n
  • D n2\frac{n}{\sqrt{2}}

Step-by-Step Verified Solution

n = 1 2 l T � r 2 _ _ 1 _ = _ 2 ; T _ = 2 T D' = 2D or r' = 2r n _ = 1 2 l 2 T � ( 2 r ) 2 _ 2 After solving, n _ = 1 2 l 2 T � r 2 l = n

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