JEE Mains · Physics · STD 12 - 3. current electricity
In a meter bridge, as shown in the figure, it is given that resistance \(Y=12.5\, \Omega \) and that the balance is obtained at a distance \(39.5\, cm\) from end \(A\) (by jockey \(J\)) . After interchanging the resistances \(X\) and \(Y\), a new balance point is found at a distance \(l_2\) from end \(A\). What are the values of \(X\)and \(l_2\) ?
- A \(19.15\,\Omega \) and \(39.5\,cm\)
- B \(8.16\,\Omega \) and \(60.5\,cm\)
- C \(19.15\,\Omega \) and \(60.5\,cm\)
- D \(8.16\,\Omega \) and \(39.5\,cm\)
Answer & Solution
Correct Answer
(B) \(8.16\,\Omega \) and \(60.5\,cm\)
Step-by-step Solution
Detailed explanation
For a balanced meter bridge, \(\frac{X}{39.5}=\frac{Y}{(100-39.5)}\) \(\Rightarrow Y=39.5=X \times(100-39.5)\) or, \(\quad {\rm{X}} = \frac{{12.5 \times 39.5}}{{60.5}} = 8.16\,\Omega \) \({\text { When } X \text { and } Y \text { are interchanged } l_{1} \text { and }(100} \)…
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
- What is the half-life (in years) period of a radioactive material if its activity drops to \(1 / 16^{\text {th }}\) of its initial value of \(30\) years?JEE Mains 2022 Medium
- Motion of a particle in \(x - y\) plane is described by a set of following equations \(x=4 \sin \left(\frac{\pi}{2}-\omega t\right) m\) and \(y=4 \sin (\omega t) m\). The path of particle will beJEE Mains 2022 Medium
- The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths, \(\lambda _1/\lambda _2\), of the photons emitted in this process isJEE Mains 2019 Hard
- A mass \('m'\) is supported by a massless string wound around a uniform hollow cylinder of mass \(m\) and radius \(R\). If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
JEE Mains 2014 Medium - Given below are two statements : one is labeled as Assertion \(A\) and the other is labeled as Reason \(R\) Assertion \(A:\) Photodiodes are used in forward bias usually for measuring the light intensity. Reason \(R:\) For a \(p-n\) junction diode, at applied voltage \(V\) the current in the forward bias is more than the current in the reverse bias for \(\left|V_z\right| > \pm V \geq\left|V_0\right|\) where \(V_0\) is the threshold voltage and \(V _{ z }\) is the breakdown voltage. In the light of the above statements, choose the correct answer from the options given belowJEE Mains 2023 Medium
- A circular conducting coil of radius \(1\, {m}\) is being heated by the change of magnetic field \(\vec {B}\) passing perpendicular to the plane in which the coil is laid. The resistance of the coil is \(2\, \mu\, \Omega\). The magnetic field is slowly switched off such that its magnitude changes in time as \(B=\frac{4}{\pi} \times 10^{-3}\, {T}\left(1-\frac{{t}}{100}\right)\) The energy dissipated by the coil before the magnetic field is switched off completely is \(E=.....\,{m} J.\)JEE Mains 2021 Medium
More PYQs from JEE Mains
- Let the ellipse \(E : x ^2+9 y ^2=9\) intersect the positive \(x\) - and \(y\)-axes at the points \(A\) and \(B\) respectively Let the major axis of \(E\) be a diameter of the circle \(C\). Let the line passing through \(A\) and \(B\) meet the circle \(C\) at the point \(P\). If the area of the triangle which vertices \(A, P\) and the origin \(O\) is \(\frac{m}{n}\), where \(m\) and \(n\) are coprime, then \(m - n\) is equal toJEE Mains 2023 Hard
- If the eccentricity of the standard hyperbola passing, through the point \((4, 6)\) is \(2\), then the equation of the tangent to the hyperbola at \((4, 6)\) isJEE Mains 2019 Hard
- The sum of first four terms of a geometric progression \((G.P.)\) is \(\frac{65}{12}\) and the sum of their respective reciprocals is \(\frac{65}{18} .\) If the product of first three terms of the \(G.P.\) is \(1,\) and the third term is \(\alpha\), then \(2 \alpha\) is ....... .JEE Mains 2021 Hard
- An massless equilateral triangle \(EFG\) of side \('a'\) (As shown in figure) has three particles of mass \(m\) situated at its vertices. The moment of intertia of the system about the line \(EX\) perpendicular to \(EG\) in the plane of \(EFG\) is \(\frac{ N }{20}\, ma ^{2}\) where \(N\) is an integer. The value of \(N\) is
JEE Mains 2020 Medium - Let \(f(x) = 15-|x -10|;\,\,x \in R.\) then the set of all values of \(x,\) at which the function, \(g(x) = f(f(x))\) is not differentiable, isJEE Mains 2019 Hard
- Consider a block kept on an inclined plane (inclined at \(45^{\circ}\) ) as shown in the figure. If the force required to just push it up the incline is \(2\) times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane \((\mu)\) is equal to
JEE Mains 2023 Hard