AP EAMCET · PHYSICS · Electrostatics
Two small spheres of each charge \(q\), mass \(m\) and material density \(d\) are suspended from a fixed point with the help of inextensible light thread. When the spheres are in air, the angle between the threads is \(90^{\circ}\). When the spheres are suspended in a liquid of density \(\frac{2}{3} d\), the angle between the threads is \(60^{\circ}\). The value of dielectric constant of the liquid is
- A \(6 \sqrt{3}\)
- B \(2 \sqrt{5}\)
- C \(5 \sqrt{3}\)
- D \(7 \sqrt{2}\)
Answer & Solution
Correct Answer
(A) \(6 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Key Idea At any instant, \( T \cos \theta=m g \text { and } T \sin \theta=F_e \Rightarrow \tan \theta m g=F_e \) \( \begin{aligned} F_e & =\frac{k q^2}{r^2} \\ r & =2 l \cos \theta \\ \tan \theta & =\frac{F_e}{m g} \end{aligned} \) [from Fig.] So, for \(\theta=45^{\circ}\) and…
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
- If current in diode is five times that in \(R_1\) and breakdown voltage of diode is \(6 \mathrm{~V}\), find the value of \(R\) ?
AP EAMCET 2021 Easy - A rectangular loop of length \(l\) and breadth \(b\) is placed at distance of \(x\) from infinitely long wire carrying current \(i\) such that the direction of current is parallel to breadth. If the loop moves away from the current wire in a direction perpendicular to it with a velocity \(v\), the magnitude of the emf in the loop is : ( \(\mu_0=\) permeability of free space \()\)AP EAMCET 2006 Hard
- The ratio of speed of electrons in the first excited state of hydrogen atom to the speed of light in vacuum is [Given, Planck's constant \(=6.625 \times 10^{-34} \mathrm{Js}\) and permittivity of free space is \(8.85 \times 10^{-12} \mathrm{Fm}^{-1}\) ]AP EAMCET 2021 Medium
- Four charges, each charge \(q\) coulomb are placed at points \((-1,0,0),(1,0,0),(0,-1,0)\) and \((0,1,0)\) in the \(x y\)-plane. The distance along the axes are measured in metres. The magnitude of the electric field at the point \(z=1 \mathrm{~m}\) on the \(Z\)-axis isAP EAMCET 2022 Medium
- The graph between two quantities \(P\) and \(Q\) is a straight line whenAP EAMCET 2020 Easy
- If the given graph shows the logarithmic values of pressure \((\mathrm{P})\) and volume \((\mathrm{V})\) of an ideal gas, then the ratio of the specific heat capacities of the gas is
AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If \(\alpha, \beta\) and \(\gamma\) are the angles made by a vector with \(\mathrm{x}, \mathrm{y}\) and z axes respectively, then \(\sin ^2 \alpha+\sin ^2 \beta=\)AP EAMCET 2025 Easy
- \(\lim _{x \rightarrow \infty} \frac{1^{77}+2^{77}+\ldots+n^{77}}{n^{78}}=\)AP EAMCET 2024 Easy
- A ball of mass , moving with a speed of , strikes a wall at an angle (as shown in figure). The ball rebounds at the same speed and remains in contact with the wall for ; the force exerted by the ball on the wall is:
AP EAMCET 2021 Medium - Match the following :
The correct match is
\(\begin{array}{llll}\mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D}\end{array}\)AP EAMCET 2008 Medium - \(2.0 \mathrm{~g}\) of activated charcoal is added to \(100 \mathrm{~mL}\) of \(0.5 \mathrm{M}\) acetic acid (molar mass \(60 \mathrm{~g} \mathrm{~mol}^{-1}\) ), shaken well and filtered. The concentration of solution is reduced to \(0.4 \mathrm{M}\). How many grams of acetic acid is adsorbed on charcoal per gram?AP EAMCET 2023 Medium
- Observe the following data.
\(\mathrm{Q}^{\mathrm{a}+}, \mathrm{X}^{\mathrm{b}+}, \mathrm{Y}^{\mathrm{c}+}, \mathrm{Z}^{\mathrm{d}+}\) are respectivelyIon \(\mathrm{Q}^{\mathrm{a}+}\) \(\mathrm{X}^{\mathrm{b}+}\) \(\mathrm{Y}^{\mathrm{c}+}\) \(\mathrm{Z}^{\mathrm{d}+}\) Radius (pm) \(53\) \(66\) \(40\) \(100\) AP EAMCET 2025 Medium