MHT CET · Physics · Electrostatics
Three charges ' +3 q ' , ' Q ' and ' +q ' are placed in a straight line of length ' \(\ell\) ' at points at distances \(0, \frac{\ell}{2}\) and \(\ell\) respectively. The value of \(Q\) in order to have the net force on \(+q\) to be zero, \(Q=x q\). The value of \(x\) is
- A \(-\frac{1}{4}\)
- B \(\frac{-3}{4}\)
- C \(-3\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(\frac{-3}{4}\)
Step-by-step Solution
Detailed explanation
\(F_{net} = F_{3q \to q} + F_{Q \to q} = 0\) \(k \frac{(+3q)(+q)}{\ell^2} + k \frac{Q(+q)}{(\ell/2)^2} = 0\)
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
- Photons of energy \(10 \mathrm{eV}\) are incident on a photosensitive surface of threshold frequency \(2 \times 10^{15} \mathrm{~Hz}\). The kinetic energy in \(\mathrm{eV}\) of the photoelectrons emitted is [Planck's constant \(\mathrm{h}=6.63 \times 10^{34}\) \(\mathrm{Js}]\)MHT CET 2021 Medium
- Three identical capacitors of capacitance ' \(\mathrm{C}\) ' each are connected in series and this connection is connected in parallel with one more such identical capacitor. Then the capacitance of whole combination isMHT CET 2023 Medium
- Consider a soap film on a rectangular frame of wire of area \(3 \times 3 \mathrm{~cm}^2\). If the area of the soap film is increased to \(5 \times 5 \mathrm{~cm}^2\), the work done in the process will be (surface tension of soap solution is \(2.5 \times 10^{-2} \mathrm{~N} / \mathrm{m}\) )MHT CET 2023 Medium
- Figure shows triangular lamina which can rotate about different axes. Moment of inertia is maximum, about the axis
MHT CET 2021 Hard - In Young's double slit experiment with monochromatic light of wavelength 600 nm, the distance between the slits is \(10^{-3} \mathrm{~m}\). For changing the fringe width by \(3 \times 10^{-5} \mathrm{~m}\)
a) the screen is moved away from the slit by 5 cm.
b) the screen is moved 5 cm towards the slits.
c) the screen is moved 3 cm towards the slits.
d) the screen is moved away from the slits by 3 cm.MHT CET 2025 Medium - In a study of transistor as an amplifier, the ratio of collector current to emitter current is \(0.98 .\) The collector current is \(3 \mathrm{~mA}\), then base current will be approximatelyMHT CET 2020 Easy
More PYQs from MHT CET
- For a perfectly black body, the graph is plotted between the frequency of radiation with maximum intensity \(\left(v_{\mathrm{m}}\right)\) and the absolute temperature ' \(\mathrm{T}\) '. Out of the following which is the correct graph?
MHT CET 2022 Easy - The correct representation of Nernst’s equation for half- cell reaction isMHT CET 2019 Hard
- The graph of kinetic energy against the frequency \((\mathrm{V})\) of incident light is as shown in the figure. The slope of the graph and intercept on \(X\) axis respectively are
MHT CET 2020 Easy - Moment of inertia of big drop is \(I\). If 8 droplets are formed from big drop, then moment of inertia of small droplet isMHT CET 2009 Hard
- The maximum value of \(z=7 x+8 y\) subject to the constraints \(x+y \leq 20, y \geq 5, x \leq 10, x \geq 0, y \geq 0\) isMHT CET 2023 Medium
- Choose the false statement from following about \(\mathrm{SN}^1\) reaction mechanism.MHT CET 2022 Hard