Physics-
General
Easy
Question
A particle of mass
moves in the
plane with a velocity
along the straight line
. If the angular momentum of the particle with respect to origin
is
when it is at
and
when it is at
, then

- The relationship between
and
depends upon the slope of the line
The correct answer is: 
From the definition of angular momentum,


Therefore, the magnitude of
is

where
is the distance of closest approach of the particle to the origin. As
is same for both the particles, hence
.
Related Questions to study
maths-
Assertion (A): If the system of equations
have non zero solution then 
Reason (R): If the system of equations
has a non zero solution then
is singular
Assertion (A): If the system of equations
have non zero solution then 
Reason (R): If the system of equations
has a non zero solution then
is singular
maths-General
physics-
Consider a body, shown in figure, consisting of two identical balls, each of mass
connected by a light rigid rod. If an impulse
is impared to the body at one of its ends, what would be its angular velocity?

Consider a body, shown in figure, consisting of two identical balls, each of mass
connected by a light rigid rod. If an impulse
is impared to the body at one of its ends, what would be its angular velocity?

physics-General
physics-
A binary star consists of two stars
(mass 2.2
) and B (mass 11
), where
is the mass of the sun. They are separated by distance
and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star
about the centre of mass is
A binary star consists of two stars
(mass 2.2
) and B (mass 11
), where
is the mass of the sun. They are separated by distance
and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star
about the centre of mass is
physics-General
physics-
A force of- F
acts on
, the origin of the coordinate system. The torque about the point 1, -(a) is

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acts on
, the origin of the coordinate system. The torque about the point 1, -(a) is

physics-General
Maths-
The area of the region bounded by y=|x-1| and y=1 in sq. units is

For such questions, we should know area of different shapes.
The area of the region bounded by y=|x-1| and y=1 in sq. units is

Maths-General
For such questions, we should know area of different shapes.
Maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

For such questions, we should know the formula of area of different shapes.
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

Maths-General
For such questions, we should know the formula of area of different shapes.
physics-
A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to

A solid sphere of radius
has moment of inertia
about its geometrical axis. If it is melted into a disc of radius
and thickness
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to
, then the value of
is equal to

physics-General
Maths-
The area of the region bounded by y=
and the x-axis is

The area of the region bounded by y=
and the x-axis is

Maths-General
Maths-
Area of the region bounded by y
is

Area of the region bounded by y
is

Maths-General
Maths-
Area of the region bounded by y=
and y=2 is

Area of the region bounded by y=
and y=2 is

Maths-General
Maths-
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

Maths-General
physics-
A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is

A
joint is formed by two identical rods
and
each of mass
and length
in the
plane as shown. Its moment of inertia about axis coinciding with
is

physics-General
Maths-
The area bounded by the parabola
=4ay, x-axis and the straight-line y=2a is
The area bounded by the parabola
=4ay, x-axis and the straight-line y=2a is
Maths-General
physics-
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

physics-General
physics-
For the given uniform square lamina
, whose centre is 

For the given uniform square lamina
, whose centre is 

physics-General