Two identical charges $+Q $ are kept fixed some distance apart. A small particle $P $ with charge $q$ is placed midway between them. If $P$ is given a small displacement $\Delta$ , it will undergo simple harmonic motion if
Two identical charges $+Q $ are kept fixed some distance apart. A small particle $P $ with charge $q$ is placed midway between them. If $P$ is given a small displacement $\Delta$ , it will undergo simple harmonic motion if
- A
$q$ is positive and $\Delta$ is along the line joining the charges.
- B
$q$ is positive and $\Delta$ is perpendicular to the line joining the charges.
- C
$q$ is negative and $\Delta$ is perpendicular to the line joining the charges.
- D
$A$ and $C$ both
Similar Questions
Coulomb's law for electrostatic force between two point charges and Newton's law for gravitational force between two stationary point masses, both have inverse-square dependence on the distance between the charges and masses respectively.
$(a)$ Compare the strength of these forces by determining the ratio of their magnitudes $(i)$ for an electron and a proton and $(ii)$ for two protons.
$(b)$ Estimate the accelerations of electron and proton due to the electrical force of their mutual attraction when they are $1 \mathring A \left( { = {{10}^{ - 10}}m} \right)$ apart? $\left(m_{p}=1.67 \times 10^{-27} \,kg , m_{e}=9.11 \times 10^{-31}\, kg \right)$
Coulomb's law for electrostatic force between two point charges and Newton's law for gravitational force between two stationary point masses, both have inverse-square dependence on the distance between the charges and masses respectively.
$(a)$ Compare the strength of these forces by determining the ratio of their magnitudes $(i)$ for an electron and a proton and $(ii)$ for two protons.
$(b)$ Estimate the accelerations of electron and proton due to the electrical force of their mutual attraction when they are $1 \mathring A \left( { = {{10}^{ - 10}}m} \right)$ apart? $\left(m_{p}=1.67 \times 10^{-27} \,kg , m_{e}=9.11 \times 10^{-31}\, kg \right)$
Write principle of superposition.
Two point charges $Q$ each are placed at a distance $d$ apart. A third point charge $q$ is placed at a distance $x$ from mid-point on the perpendicular bisector. The value of $x$ at which charge $q$ will experience the maximum $Coulomb's force$ is ...............
Two point charges $Q$ each are placed at a distance $d$ apart. A third point charge $q$ is placed at a distance $x$ from mid-point on the perpendicular bisector. The value of $x$ at which charge $q$ will experience the maximum $Coulomb's force$ is ...............
- [JEE MAIN 2022]
Two insulated charged copper spheres $A$ and $B$ have their centres separated by a distance of $50 \;cm$. the charge on each is $6.5 \times 10^{-7}\; C?$ Suppose the spheres $A$ and $B$ have identical sizes.A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between $A$ and $B?$
Two insulated charged copper spheres $A$ and $B$ have their centres separated by a distance of $50 \;cm$. the charge on each is $6.5 \times 10^{-7}\; C?$ Suppose the spheres $A$ and $B$ have identical sizes.A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between $A$ and $B?$
Total charge $-\,Q$ is uniformly spread along length of a ring of radius $R$. A small test charge $+q$ of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.
$(a) $ Show that the particle executes a simple harmonic oscillation.
$(b)$ Obtain its time period.
Total charge $-\,Q$ is uniformly spread along length of a ring of radius $R$. A small test charge $+q$ of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.
$(a) $ Show that the particle executes a simple harmonic oscillation.
$(b)$ Obtain its time period.