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KCET2024PhysicsElectrostatics

A cube of side 1 cm contains 100 molecules each having an induced dipole moment of 0.2 10⁻⁶ C - m in an external electric field of 4 NC ⁻¹ . The electric susceptibility of the materials is .... C ^2 ~N ⁻¹ ~m ⁻² .

Options

  1. A50
  2. B5
  3. C0.5
  4. D0.05

Correct answer

B. 5

Step-by-step solution

Induced dipole moment, p=0.2 10⁻⁵ C Number of molecules, n=100 molecule / cm ^3=100 10^6 molecule / m ^3E=4 ~N / C Electric susceptibility, _e= p E n= 0.2 10⁻⁶ 100 10^6 4 =5 C ^2 ~N ⁻¹ ~m ⁻²

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