Physics-
General
Easy
Question
The two bodies of mass
and
respectively are tied to the ends of a massless string, which passes over a light and frictionless pulley. The masses are initially at rest and the released. Then acceleration of the centre of mass of the system is

- zero
The correct answer is: 
In the pulley arrangement 
But
is in downward direction and in the upward direction
, 
Acceleration of centre of mass


Related Questions to study
maths-
If
to
terms,
terms,
, then 
If
to
terms,
terms,
, then 
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The coefficient of
in
is
The coefficient of
in
is
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maths-
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chemistry-
Compounds (A) and (B) are – 
Compounds (A) and (B) are – 
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maths-
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to:
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to:
maths-General
Maths-
If one root of the equation
is reciprocal of the one of the roots of equation
then
Let one of the roots of the equation
be
.
Then as per question one of the roots of the equation
will be
.


Multiplying equation 1 by
and equation 2 by a, then subtracting, we get:


putting the value in equation 1

Then as per question one of the roots of the equation
Multiplying equation 1 by
putting the value in equation 1
If one root of the equation
is reciprocal of the one of the roots of equation
then
Maths-General
Let one of the roots of the equation
be
.
Then as per question one of the roots of the equation
will be
.


Multiplying equation 1 by
and equation 2 by a, then subtracting, we get:


putting the value in equation 1

Then as per question one of the roots of the equation
Multiplying equation 1 by
putting the value in equation 1
Maths-
If the quadratic equation
and
have a common root then
is equal to
The two quadratic equations are 
and 
Let
be the common root.
Now,

subtracting the equations, we get

now putting the value in equation1

Let
Now,
subtracting the equations, we get
now putting the value in equation1
If the quadratic equation
and
have a common root then
is equal to
Maths-General
The two quadratic equations are 
and 
Let
be the common root.
Now,

subtracting the equations, we get

now putting the value in equation1

Let
Now,
subtracting the equations, we get
now putting the value in equation1
physics-
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14
to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is

At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest.
Hence,

Hence,
Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on frictionless horizontal surface. An impulsive force gives a velocity of 14
to the heavier block in the direction of the lighter block. The velocity of centre of mass of the system at that very moment is

physics-General
At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest.
Hence,

Hence,
Maths-
In a Δabc if b+c=3a then
has the value equal to –
In a Δabc if b+c=3a then
has the value equal to –
Maths-General
Maths-
In a
simplifies to
In a
simplifies to
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In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :
Maths-General
physics-
A bullet of mass
is fired with a velocity of 50
at an angle
with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length
m and gets embedded in the bob. After the collision, the string moves to an angle of 120
. What is the angle 

Velocity of bullet at highest point of its trajectory = 50
in horizontal direction.
As bullet of mass
collides with pendulum bob of mass 3
and two stick together, their common velocity

As now under this velocity
pendulum bob goes up to an angel 120
, hence

or 
Comparing two answer of
, we get
or
As bullet of mass
As now under this velocity
Comparing two answer of
A bullet of mass
is fired with a velocity of 50
at an angle
with the horizontal. At the highest point of its trajectory, it collides had on with a bob of massless string of length
m and gets embedded in the bob. After the collision, the string moves to an angle of 120
. What is the angle 

physics-General
Velocity of bullet at highest point of its trajectory = 50
in horizontal direction.
As bullet of mass
collides with pendulum bob of mass 3
and two stick together, their common velocity

As now under this velocity
pendulum bob goes up to an angel 120
, hence

or 
Comparing two answer of
, we get
or
As bullet of mass
As now under this velocity
Comparing two answer of
physics-
A spherical hollow is made in a lead sphere of radius
such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?

Let centre of mass of lead sphere after hollowing be at point
where 
Mass of spherical hollow
and



shift 
Mass of spherical hollow

A spherical hollow is made in a lead sphere of radius
such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing?

physics-General
Let centre of mass of lead sphere after hollowing be at point
where 
Mass of spherical hollow
and



shift 
Mass of spherical hollow

chemistry-
On heating a mixture of
ans
, we get –
On heating a mixture of
ans
, we get –
chemistry-General