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Two point charges A and B, having charges +Q and –Q respectively, are placed at certain distance apart and force acting between them is F. If 25% charge of A is transferred to B, then force between the charges becomes :

(A)

F

(B)

\(\Large \frac{9F}{16}\)

(C)

\(\Large \frac{16F}{9}\)

(D)

\(\Large \frac{4F}{3}\)

NEET - Medical UG-2019 Medium

Answer & Solution:

\(\large{F_1=F={\Large{-KQ^2\over r^2}}\\q_{A}{final}=Q-{\Large{Q\over 4}}={\Large{3Q\over 4}}\\q_{B}{final}=-Q+{\Large{Q\over 4}}={\Large{-3Q\over 4}} \\\\F{final}={\Large{-9KQ^2\over 16r^2}}={\Large{9F\over 16}} }\)

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Other Questions of the same topic

Q1:

Two metal spheres, one of radius R and the other of radius 2R respectively have the same surface charge density \(\large \sigma\). They are brought in contact and separated. What will be the new surface charge densities on them?

(A)

\(\Large \sigma_1 = \frac{5}{6} \sigma, \sigma_2= \frac{5}{6} \sigma\)

(B)

\(\Large \sigma_1 = \frac{5}{2} \sigma, \sigma_2= \frac{5}{6} \sigma\)

(C)

\(\Large \sigma_1 = \frac{5}{2} \sigma, \sigma_2= \frac{5}{3} \sigma\)

(D)

\(\Large \sigma_1 = \frac{5}{3} \sigma, \sigma_2= \frac{5}{6} \sigma\)

NEET - Medical UG-2019 Medium

Q2:

A sphere encloses an electric dipole with charge ± \(\large 3 \times10^{-6}\) C. What is the total electric flux across the sphere ?

(A)

\(\large -3 \times 10^{-6} Nm^2 /C\)

(B)

zero

(C)

\(\large 3 \times 10^{-6} Nm^2 /C\)

(D)

\(\large 6 \times 10^{-6} Nm^2 /C\)

NEET - Medical UG-2019 Easy

Q3:

A parallel- plate capacitor of area A, plate separation d and capacitance C is filled with four dielectricmaterials having dielectric constant \(\large k_{1}, k_{2}, k_{3} \, and \, k_{4}\) as shown in the figure below. If a single dielectric
material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by

(A)

\(\large \frac{1}{k}=\frac{1}{k_{1}}+\frac{1}{k_{2}}+\frac{1}{k_{3}}+\frac{1}{2k_{4}}\)

(B)

\(\large k=k_{1}+k_{2}+k_{3}+ 2k_{4}\)

(C)

\(\large k= \frac {2}{3}(k_{1}+k_{2}+k_{3})+ 3k_{4}\)

(D)

\(\large \frac {2}{k}= \frac {3}{k_{1}+k_{2}+k_{3}}+ \frac {1}{k_{4}} \)

NEET - Medical UG-2016 Hard

Q4:

The potential difference \(\large (V_{A} - V_{B})\) between the points A and B in the given figure is : 

(A)

+ 9 V

(B)

– 3V

(C)

+ 3 V

(D)

+ 6 V

NEET - Medical UG-2016 Medium

Chemistry Biology

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