Two small charged spheres are suspended on cords of equal length. Cord makes angle θ 1 and θ 2 with the vertical. Which of the following statements is/are correct?

θ 1 = θ 2 when spheres have equal mass

θ 1 = θ 2 when spheres have equal charge on them

Two small charged spheres are suspended on cords of equal length. Cord makes angle θ 1 and θ 2 with the vertical. Which of the following statements is/are correct?

θ 1 = θ 2 when spheres have equal mass

Two small charged spheres are suspended on cords of equal length Cord makes angle 1and 2 with the vertical Which of the following statements isare correct

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two charges, each equal to

q

, are kept at

x = - a

and

x = a

on the x-axis. A particle of mass

m

and charge

q_{0} = - \frac{q}{2}

is placed at the origin. If charge

q_{0}

is given a small displacement

(y ≪ a)

along the y-axis, the net force acting on the particle is proportional to :

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Suppose the charge of a proton and an electron differ slightly. One of them is

e

, the other is

(e + Δ e)

. If the net electrostatic force and gravitational force between two hydrogen atoms placed at a distance

d

(much greater than atomic size) apart is zero, then

Δ e

is of the order of [Given mass of hydrogen

m_{h} = 1.67 \times 10^{- 27} kg

]

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

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 the force between the charges becomes

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

The acceleration of an electron due to the mutual attraction between the electron and a proton when they are

1.6 Å

apart is,

(m_{e} ≃ 9 \times 10^{- 31} kg, e = 1.6 \times 10^{- 19} C)

(Take

\frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2}

)

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

The dimensions of

ε_{0}

(permittivity in free space) is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is

α

. The spheres are now immersed in a dielectric liquid of density

800 kg m^{- 3}

and dielectric constant

21

. If the angle between the strings remains the same after the immersion, then

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two charges of equal magnitudes and at a distance $r$ exert a force $F$ on each other. If the charges are halved and distance between them is doubled, then the new force acting on each charge is

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Three identical charges each of magnitude

3 μ C

are placed at the corners of a right angled triangle

ABC

whose base

B C

and height

B A

are

3 cm

and

4 cm

respectively. Forces on the charge at right angled corner

B

due to charges at

A

and

C

are

F_{1}

and

F_{2}

respectively. The angle between their resultant force and

F_{2}

is

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Four identical pendulums are made by attaching a small ball of mass

100 g

on a

20 cm

long thread and suspended from the same point. Now each ball is given charge

q

so that balls move away from each other with each thread making an angle of

45^{o}

from the vertical. The value of

q

is close to

(\frac{1}{4 {πε}_{0}} = 9 \times 10^{9}, S . I . u n i t s)

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

The radius of a nucleus is given by

r_{0} A^{1 / 3}

where

r_{0} = 1.3 \times 10^{- 15} m

and

A

is the mass number of the nucleus, the Lead nucleus has

A = 206

, the electrostatic force between two protons in this nucleus is approximately

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two electrons are moving with equal speed of

5 \times 10^{5} m s^{- 1}

parallel to each other. The ratio of the electrostatic to the magnetic force between them is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two positively charged spheres of masses

m_{1} and m_{2}

are suspended from a common point at the ceiling by identical insulating massless strings of length

l

. Charges on the two spheres are

q_{1} and q_{2}

, respectively. At equilibrium, both strings make the same angle

θ

with the vertical. Then

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two small metal spheres

A

and

B

charged positively are separated by

2 m

in air. The force on a charge of

+ 1 C

placed on the line joining the centres of the spheres and at a distance of

0.5 m

from

A

is found to be zero. The ratio

q_{A} : q_{B}

of charges on

A

and

B

is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

A certain charge

2 Q

is divided at first into two parts

q_{1}

and

q_{2}

. Later the charges are placed at a certain distance. If the force of interaction between two charges is maximum then

\frac{Q}{q_{1}} =

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Three Point charges each equal to

+ q

are placed at the vertices of an equilateral triangle of side

' l'

. The net force on a charge

q_{1}

placed at the centre of the triangle is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance $2 d$ . If the negative charge is given a small displacement $x (x ≪ d)$ perpendicular to the line joining the positive charges, how the force $(F)$ developed on it will approximately depend on $x$ ?

EASY

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two equally charged metal spheres

A

and

B

repel each other with a force of

4 \times 10^{- 5} N

. Another identical uncharged sphere

C

is touched to

A

and then placed at the mid point of the line joining the spheres

A

and

B

. The net electric force on the sphere

C

is

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two small metal balls of different masses

m_{1}

and

m_{2}

are connected by strings of equal length to a fixed point. When the balls are given equal charges, the angles that the two strings make with the vertical are

30 °

and

60 °

, respectively. The ratio

\frac{m_{1}}{m_{2}}

is close to,

MEDIUM

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

A point charge

+ Q

is held at rest at a point

P .

Another point charge

- q

, whose mass is

m

, moves at a constant speed

v

in a circular orbit of radius

R_{1}

around

P

. The work required to increase the radius of revolution of

- q

from

R_{1}

, to another orbit

R_{2}

is

(R_{2} > R_{1})

(where K = \frac{1}{4 π ε_{0}})

HARD

Physical Sciences>Motion and Stability: Forces and Interactions>Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.>Types of Interactions - Forces that act at a distance (electric, magnetic,and gravitational) can be explained by fields that extend through space and can be mapped by their effect on a test object (a charged object, or a ball,respectively).

Two identical charged spheres suspended from a common point by two massless strings of lengths

l

, are initially at a distance

d (d ≪ l)

apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity

υ

. Then

υ

varies as a function of the distance

x

between the spheres, as

Two small charged spheres are suspended on cords of equal length. Cord makes angle $θ_{1}$ and $θ_{2}$ with the vertical. Which of the following statements is/are correct?

Important Questions on Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.

Learn and Prepare for any exam you want !

Two small charged spheres are suspended on cords of equal length. Cord makes angle θ1 and θ2 with the vertical. Which of the following statements is/are correct?

Important Questions on Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.

Learn and Prepare for any exam you want !

Two small charged spheres are suspended on cords of equal length. Cord makes angle $θ_{1}$ and $θ_{2}$ with the vertical. Which of the following statements is/are correct?