Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Electrostatics

BITSAT 2014 · Physics · Electrostatics

Electric field in theregion is given by E=( M ^ 3 ) i , then the...

Electric field in theregion is given by E=(M\mathrmx3)i^\mathrm{E}=\left(\frac{\mathrm{M}}{\mathrmx^{3}}\right) \hat{\mathrm{i}}, then the correct expression for the potential in the region is [assume potential at infinity is zero]

Options

  1. AM2\mathrmx2\frac{\mathrm{M}}{2 \mathrmx^{2}}
  2. BMx2\mathrm{Mx}^{2}
  3. CM3\mathrmx4\frac{\mathrm{M}}{3 \mathrmx^{4}}
  4. DM\mathrmx2\frac{\mathrm{M}}{\mathrmx^{2}}

Correct answer

A. M2\mathrmx2\frac{\mathrm{M}}{2 \mathrmx^{2}}

Step-by-step solution

V=−∫∞xE⋅dr=−∫∞xMx3dx=M2x2V=-\int_{\infty}^{x} E \cdot d r=-\int_{\infty}^{x} \frac{M}{x^{3}} d x=\frac{M}{2 x^{2}}
Practice Electrostatics on Quantrex Academy →

More from Electrostatics

An oil drop of radius 1 μ m is held stationary under a constant electric field of 3.65 ×… BITSAT 2024The potential of a large liquid drop when eight liquid drops are combined is 20 V , then… BITSAT 2024A dust particle of mass 4 × 10^ -12 mg in suspended in air under the influence of an… BITSAT 2024Electric field at point (30,30,0) due to a charge of 0.008 μ C placed at origin will be… BITSAT 2024If two charges q_1 and q_2 are separated with distance ' d ' and placed in a medium of… BITSAT 2024Electric potential at a point 'P' due to a point charge of 5 × 10^ -9 C is 50 V. The… BITSAT 2024Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure, The electric… BITSAT 2024In a cuboid of dimension 2 L × 2 L × L , a charge q is placed at the centre of the… BITSAT 2023 Full Electrostatics list All BITSAT PYQs