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The capacitor plates are fixed on an inclined plane and connected to a battery of emf E. The capacitor plates have plate area a, length l, and the distance between them is d. A dielectric slab of mass m and dielectric constant K is inserted into the capacitor and tied to mass M by a massless string as shown in the figure. Find the value of M for which the slab will stay in equilibrium. There is no friction between slab and plates.

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a

m2+E2ε0A(k−1)2lg⁡d

b

m2−E2ε0A(k−1)2lg⁡d

c

m2+E2ε0A(k−1)lg⁡d

d

m2−E2ε0A(k−1)lg⁡d

answer is A.

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Detailed Solution

For equilibrium, we haveT = MgAnd T=F+sin⁡30∘or Mg=F+mg2or M˙=m2+Fg=m2+E2ε0A(k−1)2lg⁡d

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The capacitor plates are fixed on an inclined plane and connected to a battery of emf E. The capacitor plates have plate area a, length l, and the distance between them is d. A dielectric slab of mass m and dielectric constant K is inserted into the capacitor and tied to mass M by a massless string as shown in the figure. Find the value of M for which the slab will stay in equilibrium. There is no friction between slab and plates.