Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Physics
Chapter
Electrostatics

BITSAT 2011 · Physics · Electrostatics

In an uniformly charged sphere of total charge Q and radius R, the...

In an uniformly charged sphere of total charge Q and radius R,\mathrm{R}, the electric field E\mathrm{E} is plotted as function of distance from the centre. The graph which would correspond to the above will beIn an uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distanceIn an uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distanceIn an uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distanceIn an uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance

Options

  1. AThe number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency
  2. BThe number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency
  3. CThe number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency
  4. DThe number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency

Correct answer

C. The number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency

Step-by-step solution

Electric field inside the uniformly charged sphere varies linearly, E=kQR3r,(r≤R)E=\frac{k Q}{R^{3}} r,(r \leq R) while outside the sphere, it varies as inverse square of distance, E=kQr2;(r≥R)E=\frac{k Q}{r^{2}} ;(r \geq R) which is correctly represented in option (c).
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