Maths-
General
Easy
Question
Range of function f(x) =
,
is given by -
The correct answer is: 
]
(C) 
Related Questions to study
physics-
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
and
. Taking
, find the work done (in joules) by the string on the block of mass
during the first second after the system is released from rest

In the given condition tension in the string



And acceleration of each block

Let ‘S’ is the distance covered by block of mass
in first sec

Work done by the string 


And acceleration of each block
Let ‘S’ is the distance covered by block of mass
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
and
. Taking
, find the work done (in joules) by the string on the block of mass
during the first second after the system is released from rest

physics-General
In the given condition tension in the string



And acceleration of each block

Let ‘S’ is the distance covered by block of mass
in first sec

Work done by the string 


And acceleration of each block
Let ‘S’ is the distance covered by block of mass
physics-
An object of mass
is tied to a string of length
and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angel
with the vertical. Work done by the force
is

(Since, change in kinetic energy is zero)

Here,
An object of mass
is tied to a string of length
and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angel
with the vertical. Work done by the force
is

physics-General
(Since, change in kinetic energy is zero)

Here,
physics-
A block of mass
kg sliding on a smooth horizontal surface with a velocity
meets the spring of spring constant
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are

When block strikes the spring, the kinetic energy of block converts into potential energy of spring ie,

Or

When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.

Or
When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.
A block of mass
kg sliding on a smooth horizontal surface with a velocity
meets the spring of spring constant
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are

physics-General
When block strikes the spring, the kinetic energy of block converts into potential energy of spring ie,

Or

When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.

Or
When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.
physics-
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be

Work done=area enclosed by
graph
=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be

physics-General
Work done=area enclosed by
graph
=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
physics-
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object 



By the law of conservation of momentum
Three objects
and
are kept in a straight line on a frictionless horizontal surface. These have masses
and
respectively. The object
moves towards
with a speed
and makes an elastic collision with it. Thereafter,
makes completely inelastic collision with
. All motions occur on the same straight line. Find the final speed (in
) of the object 

physics-General


By the law of conservation of momentum
physics-
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to

Work done = Area under curve and displacement axis
= Area of trapezium


As the area actually is not trapezium so work done will be more than
approximately 
= Area of trapezium
As the area actually is not trapezium so work done will be more than