MHT CET 2026 20th April Morning Shift | Capacitor Question 1 | Physics

In a parallel plate air capacitor of plate separation '$d$', a dielectric slab of thickness '$t$' is introduced between the plates. The capacitance becomes one-third of the original value. The dielectric constant of the slab will be

$\dfrac{t}{d + t}$

$\dfrac{t}{2d + t}$

$\dfrac{t}{d - 2t}$

$\dfrac{2t}{2d - t}$

MHT CET 2026 20th April Morning Shift

MCQ (Single Correct Answer)

-0

A parallel plate air capacitor having area of each plate '$A$' and the distance between the plates '$d$' has uniform electric field E in the space between the plates. The energy stored in the capacitor is ($\epsilon_0$ = permittivity of free space.)

$\dfrac{1}{2}\epsilon_0 E^2$

$\dfrac{1}{2}A\epsilon_0 E$

$\dfrac{1}{2}A\epsilon_0 E^2 d$

$\dfrac{1}{2}A\epsilon_0^2 E\cdot d$

MHT CET 2026 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A parallel plate air capacitor has capacity 'C' farad, potential 'V' volt and energy 'E' joule. When the gap between the plates is completely filled with dielectric

V increases, E decreases.

V decreases, E increases.

both V and E increase.

both V and E decrease.

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential 'V'. Another capacitor of capacitance '$3C$' is charged to a potential '$3V$'. The charging battery is then disconnected and both the capacitors are connected in parallel to each other such that positive terminal of one is connected to negative terminal of the other. The final energy of the configuration is

$1.5\,CV^2$

$6.5\,CV^2$

$8.0\,CV^2$

$18.0\,CV^2$

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