TS EAMCET · Physics · Current Electricity
A cylindrical shape resistance is connected to a battery with emf \(5 \mathrm{~V}\). The resistance per unit length varies as \(\rho(x)=\rho_0\left(\frac{x}{L}\right)^\alpha\), where \(\rho_0\) and \(\alpha\) are constants and \(x\) is the distance from one end of the resistor. The magnitude or product \(\rho_0 L\) is \(10 \Omega\), where \(L\) is the length of the resistor. If the thermal power generated by the resistor is \(20 \mathrm{~W}\), then the value of \(\alpha\) is
- A 3
- B 5
- C 7
- D 9
Answer & Solution
Correct Answer
(C) 7
Step-by-step Solution
Detailed explanation
Resistance of cylinder per unit Iength is \[ \frac{d R}{d x}=\rho\left(\frac{x}{L}\right)^\alpha \Rightarrow d R=\rho\left(\frac{X}{L}\right)^\alpha \cdot d x \] So, total resistance of cylinder,…
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
- In a half wave rectifier, the AC input source of frequency \(50 \mathrm{~Hz}\) is used. The fundamental frequency of the output isTS EAMCET 2015 Easy
- Five moles of hydrogen initially at STP is compressed adiabatically so that its temperature becomes \(673 \mathrm{~K}\). The increase in internal energy of the gas, in kilo joule is \((R=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K} ; \gamma=1.4\) for diatomic gas \()\)TS EAMCET 2014 Easy
- A current of \(2 \mathrm{~A}\) flows in an electric circuit as shown in figure. The potential difference \(\left(V_R-V_S\right)\), in volts \(\left(V_R\right.\) and \(V_S\) are potentials at \(R\) and \(S\) respectively) is
TS EAMCET 2008 Easy - Consider the following two circuits bulbs are connected in series to a power supply line bulbs identical to are connected in a parallel circuit to an identical power supply line Identify which of the following is not trueTS EAMCET 2018 Easy
- A black body of mass \(34.38 \mathrm{~g}\) and surface area \(19.2 \mathrm{~cm}^2\) is at an initial temperature of \(400 \mathrm{~K}\). It is allowed to cool inside an evacuated enclosure kept at constant temperature \(300 \mathrm{~K}\). The rate of cooling is \(0.04^{\circ} \mathrm{C}\) per second. The specific heat of the body in \(\mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1}\) is (Stefan's constant \(\sigma=5.73 \times 10^{-8} \mathrm{Wm}^{-2} \mathrm{~K}^{-4}\)TS EAMCET 2004 Easy
- A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will beTS EAMCET 2011 Medium
More PYQs from TS EAMCET
- A cylinder of mass and material density \(\rho\) hanging from a string is lowered into a vessel of cross-sectional area A containing a liquid of density \(\sigma( < \rho)\) until it is fully immersed. The increase in pressure at the bottom of the vessel isTS EAMCET 2023 Hard
- A hole of diameter is drilled in a metal sheet at . The linear expansion of metal is . The diameter of the hole when the temperature is raised to , is equal toTS EAMCET 2022 Easy
- A bar magnet has coercivity \(4 \times 10^3 \mathrm{Am}^{-1}\). It is placed inside a solenoid of \(12 \mathrm{~cm}\) length and 60 turns. The current that should be passed through the solenoid to demagnetise the bar magnet isTS EAMCET 2023 Hard
- A ball of mass moving with a speed of is brought to rest in The average force applied to the ball isTS EAMCET 2021 Medium
- A ball of mass \(2 \mathrm{~kg}\) is thrown from a tall building with velocity, \(\mathbf{v}=(20 \mathrm{~m} / \mathrm{s}) \hat{\mathbf{i}}+(24 \mathrm{~m} / \mathrm{s}) \hat{\mathbf{j}}\) at time \(t=0 \mathrm{~s}\). Change in the potential energy of the ball after, \(t=8 \mathrm{~s}\) is (The ball is assumed to be in air during its motion between \(0 \mathrm{~s}\) and \(8 \mathrm{~s}, \hat{\mathbf{i}}\) is along the horizontal and \(\hat{\mathbf{j}}\) is along the vertical direction (Take \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2019 Easy
- Match the physical quantities given in List - I with dimensions in List - II.
(The dimensions of mass, length, time, temperature and current are and respectively)List - I List - II A Gravitational potential I B Stefan's constant II C Permittivity III D Specific heat capacity IV TS EAMCET 2019 Medium