KCET · Physics · Electrostatics
Two identical charged spheres of material density \(\rho\), suspended from the same point by inextensible strings of equal length make an angle \(\theta\) between the strings. When suspended in a liquid of density \(\sigma\) the angle \(\theta\) remains the same. The dielectric constant \(K\) of the liquid is
- A \(\frac{\rho}{\rho-\sigma}\)
- B \(\frac{\rho-\sigma}{\rho}\)
- C \(\frac{\rho}{\rho+\sigma}\)
- D \(\frac{\rho+\sigma}{\rho}\)
Answer & Solution
Correct Answer
(A) \(\frac{\rho}{\rho-\sigma}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} E_{r} &=\frac{F_{a}}{F_{m}} \\ &=\frac{m g}{\left(m-m_{1}\right) g}=\frac{\rho V}{(\rho-\sigma) V}=\frac{\rho}{(\rho-\sigma)} \end{aligned}\)
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
- How many times more intense is a \(60 \mathrm{~dB}\) sound than a \(30 \mathrm{~dB}\) sound?KCET 2008 Easy
- An LED is constructed from a pn junction based on a certain semi-conducting material whose
energy gap is \( 1.9 \mathrm{eV} \). Then the wavelength of the emitted light isKCET 2015 Easy - A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days isKCET 2007 Easy
- In a photo electric experiment, if both the intensity and frequency of the incident light are doubled, then the saturation photoelectric currentKCET 2022 Easy
- Ferromagnetic materials used in a transformer must haveKCET 2009 Easy
- For a transistor amplifier, the voltage gainKCET 2019 Medium
More PYQs from KCET
- Consider the following statements :
Statement(I) : The set of all solutions of the linear inequalities \(3 x+8 \lt 17\) and \(2 x+8 \geq 12\) are \(x \lt 3\) and \(x \geq 2\) respectively.
Statement(II) : The common set of solutions of linear inequalities \(3 x+8 \lt 17\) and \(2 x+8 \geq 12\) is \((2,3)\).
Which of the following is true?KCET 2025 Easy - Identify the part labelled as 'M' in the diagram given below:
KCET 2019 Medium - If \(f: R \rightarrow R\) be defined by \(f(x)=\left\{\begin{array}{lcc}2 x & : & x>3 \\ x^2 & : & 1 < x \leq 3 \\ 3 x & : & x \leq 1\end{array}\right.\) then \(f(-1)+f(2)+f(4)\) isKCET 2022 Easy
- Identify the option showing the correct labeling for p, q, r and s with refernce to the conducting system of the human heart.
KCET 2023 Hard - Now-a-days agricultural practice is expensive to the farmers as they need to purchase hybrid seeds every year. Which of the following strategies can be employed to overcome this problem?KCET 2019 Medium
- Which among the following is used to treat Emphysema?KCET 2024 Medium