MHT CET · Physics · Current Electricity
Two cells of e.m.f.'s \(E_1\) and \(E_2\left(E_1>E_2\right)\) are connected as shown in figure:
When a potentiometer is connected between A and B the balancing length of the potentiometer wire is \(300 \mathrm{~cm}\). By connecting the same potentiometer between \(\mathrm{A}\) and \(\mathrm{C}\), the balancing length is \(100 \mathrm{~cm}\). The ratio of \(\frac{E_1}{E_2}\) is
- A 2:3
- B 1:3
- C 3:1
- D 3:2
Answer & Solution
Correct Answer
(D) 3:2
Step-by-step Solution
Detailed explanation
For balance potentiometer \(\frac{E_{A B}}{E_{A C}}=\frac{l_{A B}}{l_{A C}}\)
\(\begin{aligned}
& \Rightarrow \frac{E_1}{E_1-E_2}=\frac{300}{100} \\
& \Rightarrow 3 E_1-3 E_2=E_1 \\
& \Rightarrow E_1: E_2=3: 2
\end{aligned}\)
\(\begin{aligned}
& \Rightarrow \frac{E_1}{E_1-E_2}=\frac{300}{100} \\
& \Rightarrow 3 E_1-3 E_2=E_1 \\
& \Rightarrow E_1: E_2=3: 2
\end{aligned}\)
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
- Two capillary tubes of same diameter are kept vertically in two liquids whose densities are in the ratio \(4: 3\). If their surface tensions are in the ratio 6:5, the ratio of heights \(\left(\frac{h_1}{h_2}\right)\) of liquids in the two capillary tubes is (Their angle of contacts are same)MHT CET 2025 Medium
- Two identical wires are vibrating in unison. If the tension in one of the wires is
increased by \(2 \%\), five beats are produced per second by the two vibrating wires.
The initial frequency of each wire is \((\sqrt{1 \cdot 02} \doteq 1 \cdot 01)\)MHT CET 2020 Easy - In damped SHM, the SI unit of damping constant isMHT CET 2019 Easy
- A series \(L-C-R\) circuit containing a resistance ' \(R\) ' has angular frequency ' \(\omega\) '. At resonance the voltage across resistance and inductor are ' \(\mathrm{V}_{\mathrm{R}}\) ' and ' \(\mathrm{V}_{\mathrm{L}}\) ' respectively, then value of capacitance will beMHT CET 2024 Easy
- A body is projected vertically upwards from earth's surface. If its K.E. of projection is
equal to half of its minimum value required to escape from the gravitational
influence, then the height upto which it rises is \((\mathrm{R}=\) radius of the earth \()\)MHT CET 2020 Medium - A coin is placed on the horizontal plate. Plate performs S.H.M. vertically with
angular frequency ' \(\omega^{\prime}\). The amplitude (A) of oscillations is gradually increased.
The coin will lose contact with plate for the first time when amplitude is
\((\mathrm{g}=\) acceleration due to gravity \()\)MHT CET 2020 Medium
More PYQs from MHT CET
- Identify sequential reactions involved in Sol-Gel process .MHT CET 2025 Easy
- The equation of a progressive wave is \(Y=3 \sin \left[\pi\left(\frac{t}{3}-\frac{x}{5}\right)+\frac{\pi}{4}\right]\) where \(x\) and \(y\) are in meter and time in second. Which of the following is correct?MHT CET 2025 Medium
- For a transistor, \(\frac{1}{\alpha_{D C}}-\frac{1}{\beta_{D C}}\) is equal to \(\left[\alpha_{D C}\right.\) and \(\beta_{D C}\) are current amplification factors]MHT CET 2021 Hard
- If the number of chromosomes in an endosperm of seed is 21, what will be the chromosome number in the secondary nucleus?MHT CET 2019 Hard
- Verhulst - Pearl logistic growth shows _________ curve.MHT CET 2022 Easy
- Area of the region bounded by the curve \(y=x^2+2\) and the lines \(y=x, x=0\) and \(x=3\) isMHT CET 2022 Medium