MCQ
Assume that an electric field $\overrightarrow E = 30{x^2}\hat i$ exists in space. Then the potential difference $V_A -V_O$, where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\, m$ is
- ✓$-80$
- B$80$
- C$120$
- D$-120$
✓
Answer
Correct option: A.
$-80$
a
$\int \mathrm{d} \mathrm{v}=-\int \mathrm{E} \mathrm{d} \mathrm{x}$
$\int \mathrm{d} \mathrm{v}=-\int \mathrm{E} \mathrm{d} \mathrm{x}$
$\mathrm{V}_{\mathrm{A}}-\mathrm{V}_{0}=-\int_{0}^{2} 30 \mathrm{x}^{2} \mathrm{d} \mathrm{x}$
$=-80$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In Huygens' theory, light waves
The magnetic field is uniform for $y>0$ and points into the plane. The magnetic field is uniform and points out of the plane for $y<0$. A proton denoted by filled circle leaves $y=0$ in the $-y$-direction with some speed as shown below.Which of the following best denotes the trajectory of the proton?
→Given below are two statements
→Statement $I$ : The electric force changes the speed of the charged particle and hence changes its kinetic energy: whereas the magnetic force does not change the kinetic energy of the charged particle
Statement $II$ : The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field. In the light of the above statements, choose the most appropriate answer from the options given below
The two slits at a distance of 1 mm are illuminated by the light of wavelength $6.5 \times 10^{-7} m$. The interference fringes are observed on a screen placed at a distance of 1m. The distance between third dark fringe and fifth bright fringe will be
→In which of the following, emission of electrons does not take place
The curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium
Two wires of same length are shaped into a square and a circle. If they carry same current, ratio of the magnetic moment is
The electron in a hydrogen atom makes transition from $M$ shell to $L$. The ratio of magnitudes of initial to final centripetal acceleration of the electron is
→In a hydrogen atom, which of the following electronic transitions would involve the maximum energy change:
Which of the following gases has maximum $rms$ speed at a given temperature?
→