Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Two identical metallic spheres $\mathrm{A}$ and $\mathrm{B}$ when placed at certain distance in air repel each other with a force of $\mathrm{F}$ . Another identical uncharged sphere $\mathrm{C}$ is first placed in contact with $\mathrm{A}$ and then in contact with $\mathrm{B}$ and finally placed at midpoint between spheres $\mathrm{A \: and\: B}$ . The force experienced by sphere $\mathrm{C}$ will be:

Option: 1
$3 \mathrm{~F} / 2$

Option: 2
$3 \mathrm{~F} / 4$

Option: 3
$\mathrm{F}$

Option: 4
$2 \mathrm{~F}$

Answers (1)

best_answer

Condition 1:

$\mathrm{F=\frac{KQ^{2}}{r^{2}}}$

Condition 2:

Force experienced by c is

$\mathrm{F^{\prime} =F_B-F_A }$

$\mathrm{=\frac{K(3 Q / 4)^2}{(r / 2)^2}-\frac{K\left(\frac{3 Q}{4}\right)(Q / 2)}{(r / 2)^2} }$

$\mathrm{=\frac{9 K Q^2}{4 r^2}-\frac{3 K Q^2}{2 r^2} }$

$\mathrm{F^{\prime} =\frac{3 K Q^2}{4 r^2}=\frac{3}{4} \mathrm{~F}}$

Hence 2 is correct option

Posted by

Anam Khan

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

5 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82⁰C. If Na₂SO₄ is 81.5% ionised, the value of x (K

A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$

A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO₃ to give fraction A. The leftover organic phase was extracted with d

Trending Articles/News

anam-khan

JEE Main BTech CSE cut-offs for students of northeast, UTs drop in 2 years; over 2,000 seats reserved in NITs

anam-khan

BSEB Super 50 performed ‘brilliantly’ in JEE Main, 23 scored above 95 percentile: Bihar Board chairman

anam-khan

IIIT Allahabad cut-offs for BTech ECE, IT, IT-Business Informatics goes up in last 3 years; seat matrix

Latest Question