MHT CET · Physics · Capacitance
A parallel plate capacitor has plate area \(50 \mathrm{~cm}^2\) and plate separation 3 mm . The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 4 . The capacitance becomes ( \(\epsilon_0=\) permittivity of free space)
- A \(\frac{18 \epsilon_0}{7}\)
- B \(\frac{20 \epsilon_0}{9}\)
- C \(\frac{16 \epsilon_0}{7}\)
- D \(\frac{14 \epsilon_0}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{20 \epsilon_0}{9}\)
Step-by-step Solution
Detailed explanation
\(C = \frac{\epsilon_0 A}{d - t + \frac{t}{k}}\) \(C = \frac{\epsilon_0 (50 \times 10^{-4} \, \mathrm{m}^2)}{(3 \times 10^{-3} \, \mathrm{m}) - (1 \times 10^{-3} \, \mathrm{m}) + \frac{(1 \times 10^{-3} \, \mathrm{m})}{4}}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle having almost zero mass and exactly zero charge isMHT CET 2008 Easy
- A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a pendulumMHT CET 2023 Easy
- The equation of wave is \(y=60 \sin (1200 t-6 x)\), where ' \(y\) ' is in micron, ' t ' is in second and ' x ' is in metre. The ratio of maximum particle velocity to the wave velocity of wave propagation isMHT CET 2025 Medium
- Assuming the atom in the ground state, the expression for the magnetic field at a point (nucleus) in hydrogen atom due to circular motion of electron is
\(\left[\mu_{0}=\right.\) permeability of free space, \(\epsilon_{0}=\) permittivity of free space, \(\quad \mathrm{m}=\) mass of
electron, \(\mathrm{e}=\) electronic charge, \(\mathrm{h}=\) Planck's constant \(]\)MHT CET 2020 Medium - A spring has length \(l\) and force constant \(K\). If is cut into two springs of length \(l_1\) and \(l_2\) such that, \(l_1=n l_2(n\) is integer). The force constant of the spring of length \(l_2\) isMHT CET 2022 Medium
- Refractive index of the medium is ' \(\mu\) ' and wavelength is \(\lambda\), then which of th wing proportionality relation is correct?MHT CET 2020 Easy
More PYQs from MHT CET
- A galvanometer of resistance \(100 \Omega\) requires \(10 \mu\) A current for full scale deflection.
Now a resistance of \(1 \Omega\) is connected to convert it into an ammeter. The minimum
current required to obtain full scale deflection isMHT CET 2020 Hard - A constant force acts on two different masses independently and produces accelerations \(A_1\) and \(A_2\). When the same force acts on their combined mass, the acceleration produced isMHT CET 2025 Easy
- The particular solution of the differential equation \(\left(y+x \cdot \frac{d y}{d x}\right) \cdot \sin x y=\cos x\)
at \(x=0\) isMHT CET 2020 Medium - Match the types of enzymes in column-1 with examples in column-II' and select the correct option.
Column I Column II i. Purely proteinaceous enzyme a. Glucokinase ii. Conjugated enzyme b. Epimerase iii. Transferase enzyme c. Protease iv. Isomerase enzyme d. FMN MHT CET 2023 Hard - Which nitrogen atom of purine base is bonded with furanose forming nucleoside?MHT CET 2022 Medium
- Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are
MHT CET 2025 Medium