When a potential difference $$V$$ is applied across a wire of resistance $$R$$, it dissipates energy at a rate $$W$$. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:
Match List I with List II
List I | List II | ||
---|---|---|---|
(A) | Gauss's law of magnetostatics | (I) | $$\oint \vec{E} \cdot \vec{d} a=\frac{1}{\varepsilon_0} \int \rho d V$$ |
(B) | Faraday's law of electro magnetic induction | (II) | $$\oint \vec{B} \cdot \vec{d} a=0$$ |
(C) | Ampere's law | (III) | $$\int \vec{E} \cdot \vec{d} l=\frac{-d}{d t} \int \vec{B} \cdot \vec{d} a$$ |
(D) | Gauss's law of electrostatics | (IV) | $$\oint \vec{B} \cdot \vec{d} l=\mu_0 I$$ |
Choose the correct answer from the options given below:
In a nuclear fission reaction of an isotope of mass $$M$$, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect $$\Delta M$$ will be :
For the photoelectric effect, the maximum kinetic energy $$\left(E_k\right)$$ of the photoelectrons is plotted against the frequency $$(v)$$ of the incident photons as shown in figure. The slope of the graph gives