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Capacitor question

2019 · 12 Apr · Shift 1 · Q60
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  5. /2019 · 12 Apr · Shift 1 · Q60

Capacitor question

2019 · 12 Apr · Shift 1 · Q60

JEE MainPhysicsCapacitorMCQ+4 / −1
Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K1, K2 and K3. The first capacitor is filled as shown in fig.I, and the second one is filled as shown in fig II. If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be (E1 refers to capacitor (I) and E2 to capacitor (II)): JEE Main 2019 (Online) 12th April Morning Slot Physics - Capacitor Question 114 English
  1. A
    E1E2=(K1+K2+K3)(K2K3+K3K1+K1K2)K1K2K3{{{E_1}} \over {{E_2}}} = {{\left( {{K_1} + {K_2} + {K_3}} \right)\left( {{K_2}{K_3} + {K_3}{K_1} + {K_1}{K_2}} \right)} \over {{K_1}{K_2}{K_3}}}E2​E1​​=K1​K2​K3​(K1​+K2​+K3​)(K2​K3​+K3​K1​+K1​K2​)​
  2. B
    E1E2=K1K2K3(K1+K2+K3)(K2K3+K3K1+K1K2){{{E_1}} \over {{E_2}}} = {{{K_1}{K_2}{K_3}} \over {\left( {{K_1} + {K_2} + {K_3}} \right)\left( {{K_2}{K_3} + {K_3}{K_1} + {K_1}{K_2}} \right)}}E2​E1​​=(K1​+K2​+K3​)(K2​K3​+K3​K1​+K1​K2​)K1​K2​K3​​
  3. C
    E1E2=(K1+K2+K3)(K2K3+K3K1+K1K2)9K1K2K3{{{E_1}} \over {{E_2}}} = {{\left( {{K_1} + {K_2} + {K_3}} \right)\left( {{K_2}{K_3} + {K_3}{K_1} + {K_1}{K_2}} \right)} \over {9{K_1}{K_2}{K_3}}}E2​E1​​=9K1​K2​K3​(K1​+K2​+K3​)(K2​K3​+K3​K1​+K1​K2​)​
  4. D
    E1E2=9K1K2K3(K1+K2+K3)(K2K3+K3K1+K1K2){{{E_1}} \over {{E_2}}} = {{9{K_1}{K_2}{K_3}} \over {\left( {{K_1} + {K_2} + {K_3}} \right)\left( {{K_2}{K_3} + {K_3}{K_1} + {K_1}{K_2}} \right)}}E2​E1​​=(K1​+K2​+K3​)(K2​K3​+K3​K1​+K1​K2​)9K1​K2​K3​​
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