Embibe Experts Solutions for Chapter: Electrostatics, Exercise 1: BEGINNER'S BOX - 1

In a neutral sphere, $5\times {10}^{21}$ electrons are present. If $10$ percent electrons are removed, then calculate the charge on the sphere.

Can a body have a charge of : $0.32\times {10}^{-18} C$ ?

Can a body have a charge of :  0.64 × 10^-20 C ?

Can a body have a charge of : 4.8 × 10^-21 C ?

A glass tumbler contains $1$ billion amoeba and two sodium ions are there on the body of each amoeba. Find out the charge contained in the glass.

How many electrons should be removed from a conductor so that it acquires a positive charge of $3.5\mathrm{nC}$?

It is now believed that protons and neutrons (which constitute nuclei of ordinary matter) are themselves built out of more elementary units called quarks. A proton and a neutron consist of three quarks each. Two types of quarks, the so called ‘up’ quark (denoted by $u$) of charge $+\mathrm{}(2/3)\mathrm{}\mathrm{e},$ and the ‘down’ quark (denoted by $d$) of charge $(–1/3)\mathrm{}\mathrm{e},$ together with electrons build up ordinary matter. (Quarks of other types have also been found which give rise to different unusual varieties of matter.) Suggest a possible quark composition of a proton and neutron.

Three parallel metallic plates, each area $A$ are kept as shown in the figure and charges $Q_1$, $Q_2$ and $Q_3$ are given to them. Edge effects are negligible. Calculate the charges on the two outermost surfaces $a$ and $f$.