JEE Mains · Physics · STD 12 - 3. current electricity
In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that:
- A \(R\left( T \right) = {R_o}{e^{{T^2}/T_0^2}}\)
- B \(R\left( T \right) = \frac{{{R_o}}}{{{T^2}}}\)
- C \(R\left( T \right) = {R_o}{e^{-{T^2}/T_0^2}}\)
- D \(R\left( T \right) = {R_o}{e^{T_0^2/{T^2}}}\)
Answer & Solution
Correct Answer
(C) \(R\left( T \right) = {R_o}{e^{-{T^2}/T_0^2}}\)
Step-by-step Solution
Detailed explanation
\(\frac{\frac{1}{T^{2}}}{\frac{1}{T_{0}^{2}}}+\frac{\ln R(T)}{\ln R\left(T_{0}\right)}=1\) \(\Rightarrow \ln \mathrm{R}(\mathrm{T})=\ln \mathrm{R}\left(\mathrm{T}_{\mathrm{o}}\right)\left(1-\frac{\mathrm{T}_{\mathrm{o}}^{2}}{\mathrm{T}^{2}}\right)\)…
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
- The given figure represents two isobaric processes for the same mass of an ideal gas, then ....
JEE Mains 2024 Hard - A geostationary satellite is orbiting around an arbitary planet \(^{\prime} P ^{\prime}\) at a height of \(11 R\) above the surface of \(^{\prime} P ^{\prime} ,\) \(R\) being the radius of \(^{\prime} P .^{\prime}\) The time period of another satellite in hours at a height of \(2R\) from the surface of \(^{\prime} P ^{\prime}\) is \(........\).\(^{\prime} P ^{\prime}\) has the time period of \(24\, hours.\)JEE Mains 2021 Medium
- A loop \(ABCDEFA\) of straight edges has six corner points \(\mathrm{A}(0,0,0), \mathrm{B}(5,0,0),\)\(\mathrm{C}(5,5,0) ,\mathrm{D}(0,5,0), \mathrm{E}(0,5,5)\) and \(\mathrm{F}(0,0,5) .\) The magnetic field in this region is \(\overrightarrow{\mathrm{B}}=(3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}}) \;\mathrm{T}\). The quantity of flux through the loop \(\mathrm{ABCDEFA}(\text { in Wb })\) isJEE Mains 2020 Medium
- A parallel plate capacitor with air between the plate has a capacitance of \(15 pF\). The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant \(3.5.\) Then the capacitance becomes \(\frac{ x }{4}\,pF\).The value of \(x\) is \(............\)JEE Mains 2023 Medium
- Two masses \(m\) and \(\frac{m}{2}\) are connected at the two ends of a massless rigid rod of length \(l\). The rod is suspended by a thin wire of torsional constant \(k\) at the centre of mass of the rodmass system (see figure). Because of torsional constant \(k\), the restoring torque is \(\tau = k\,\theta \) for angular displacement \(\theta \). If the rod is rotated by \(\theta _0\) and released, the tension in it when it passes through its mean position will be
JEE Mains 2019 Hard - A thin circular disc is in the \(xy\) plane as shown in the figure. The ratio of its moment of inertia about \(z\) and \(z'\) axes will be
JEE Mains 2018 Hard
More PYQs from JEE Mains
- The number of real roots of the equation \(\mathrm{e}^{4 \mathrm{x}}+2 \mathrm{e}^{3 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}-6=0\) is :JEE Mains 2021 Hard
- Let \(P \left( x _0, y _0\right)\) be the point on the hyperbola \(3 x ^2-4 y ^2\) \(=36\), which is nearest to the line \(3 x+2 y=1\). Then \(\sqrt{2}\left( y _0- x _0\right)\) is equal to :JEE Mains 2023 Hard
- A circular coil having \(N\,turns\) and radius \(r\) carries a current. It is held in the \(XZ\) plane in a magnetic field \(B\hat i\) . The torque on the coil due to the magnetic field isJEE Mains 2019 Hard
- In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative \(z\)-axis and magnetic field is along the positive \(x\)-axis. Then the direction of propagation of electromagnetic wave isJEE Mains 2023 Easy
- A positive charge particle of \(100 \,mg\) is thrown in opposite direction to a uniform electric field of strength \(1 \times 10^{5} \,NC ^{-1}\). If the charge on the particle is \(40 \,\mu C\) and the initial velocity is \(200 \,ms ^{-1}\), how much distance (in \(m\)) it will travel before coming to the rest momentarilyJEE Mains 2022 Medium
- The angular momentum of an electron in a hydrogen atom is proportional to _______. (Where \(\mathrm{r}\) is the radius of orbit of electron)JEE Mains 2024 Hard