Two identically charged pith balls are suspended from the some point by two massless identical threads density of each ball is $\rho $. If system is immersed in a medium of density $\sigma $, balls remain undeflected, then the dielectric constant of medium is

  • A

    $\frac{\rho }{{\rho  - \sigma }}$

  • B

    $\frac{ \rho  - \sigma }{{\rho }}$

  • C

    $\frac{\sigma }{{\rho  - \sigma }}$

  • D

    $\frac{ \rho  - \sigma }{{\sigma }}$

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