Physics-
A small body of mass 
slides down from the top of a hemisphere of radius 
. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is
Physics-General
Answer:The correct answer is:
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physics-
The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path is shown in the figure is appropriate for the projectile
If air resistance is taken into consideration then range and maximum height, both will decrease
The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path is shown in the figure is appropriate for the projectile
physics-General
If air resistance is taken into consideration then range and maximum height, both will decrease
physics-
Two identical discs of same radius 
are rotating about their axes in opposite directions with the same constant angular speed 
. The discs are in the same horizontal plane. At time 
, the points 
and 
are facing each other as shown in figure. The relative speed between the two points and is 
as function of times best represented by
So,
At
So two half cycles will take place
Two identical discs of same radius are rotating about their axes in opposite directions with the same constant angular speed . The discs are in the same horizontal plane. At time , the points and are facing each other as shown in figure. The relative speed between the two points and is as function of times best represented by
physics-General
So,
At
So two half cycles will take place
physics-
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position 
are 
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position are The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
physics-General
physics-
The time taken by the projectile to reach from to 
is 
then the distance 
is equal to
Horizontal component of velocity at
The time taken by the projectile to reach from to is then the distance is equal to
physics-General
Horizontal component of velocity at
physics-
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through , where 
equals
Equating the moments about
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through , where equals
physics-General
Equating the moments about
physics-
A frictionless track 
ends in a circular loop of radius 
figure. A body slides down the track from point which is at a height 
cm. Maximum value of for the body to successfully complete the loop is
For successfully completing the loop,
A frictionless track ends in a circular loop of radius figure. A body slides down the track from point which is at a height cm. Maximum value of for the body to successfully complete the loop is
physics-General
For successfully completing the loop,
physics-
A piece of wire is bent in the shape of a parabola 
-axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the 
-axis with a constant acceleration 
. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the 
-axis is
A piece of wire is bent in the shape of a parabola -axis vertical) with a bead of mass on it. The bead can side on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the -axis with a constant acceleration . The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the -axis is
physics-General
physics-
A particle of mass is rotating in a horizontal circle of radius and is attached to a hanging mass 
as shown in the figure. The speed of rotation required by the mass keep steady is
To keep the mass M steady, let T is the tension in the string joining the two. Then for particle 
For mass
From Eqs. (i) and (ii)
For mass
From Eqs. (i) and (ii)
A particle of mass is rotating in a horizontal circle of radius and is attached to a hanging mass as shown in the figure. The speed of rotation required by the mass keep steady is
physics-General
To keep the mass M steady, let T is the tension in the string joining the two. Then for particle
For mass
From Eqs. (i) and (ii)
For mass
From Eqs. (i) and (ii)
physics-
A point mass is suspended from a light thread of length 
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are
A point mass is suspended from a light thread of length fixed at, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are
physics-General
physics-
A string of length 
is fixed at one end and carries a mass at the other end. The string makes 
revolutions per 
around the vertical axis through the fixed end as shown in figure , then tension in the string is
(i)
(ii)From (i) and (ii)
A string of length is fixed at one end and carries a mass at the other end. The string makes revolutions per around the vertical axis through the fixed end as shown in figure , then tension in the string is
physics-General
(i)(ii)From (i) and (ii)
physics-
From an inclined plane two particles are projected with same speed at same angle 
, one up and other down the plane as shown in figure, which of the following statements is/are correct?
So,
. The acceleration of both the particles is 
downwards. Therefore, relative acceleration between the two I zero or relative motion between the two is uniform. The relative velocity of w.r.t. is towards, therefore collision will take place between the two in mid air.From an inclined plane two particles are projected with same speed at same angle , one up and other down the plane as shown in figure, which of the following statements is/are correct?
physics-General
So,
. The acceleration of both the particles is downwards. Therefore, relative acceleration between the two I zero or relative motion between the two is uniform. The relative velocity of w.r.t. is towards, therefore collision will take place between the two in mid air.physics-
A fighter plane enters inside the enemy territory, at time with velocity 
and moves horizontally with constant acceleration 
(see figure). An enemy tank at the border, spot the plane and fire shots at an angle 
with the horizontal and with velocity 
. At what altitude 
of the plane it can be hit by the shot?
If it is being hit then
or
or
A fighter plane enters inside the enemy territory, at time with velocity and moves horizontally with constant acceleration (see figure). An enemy tank at the border, spot the plane and fire shots at an angle with the horizontal and with velocity . At what altitude of the plane it can be hit by the shot?
physics-General
If it is being hit then
or
or
physics-
A particle is moving on a circular path of radius with uniform velocity 
. The change in velocity when the particle moves from 
to
is
Change in velocity 
A particle is moving on a circular path of radius with uniform velocity . The change in velocity when the particle moves from tois
physics-General
Change in velocity
physics-
A particle is projected from a point with velocity 
at an angle of 
with horizontal as shown in figure. It strikes the plane 
at right angles. The velocity of the particle at the time of collision is
Let be the velocity at the time of collision
Then,
be the velocity at the time of collisionThen,
A particle is projected from a point with velocity at an angle of with horizontal as shown in figure. It strikes the plane at right angles. The velocity of the particle at the time of collision is
physics-General
Let be the velocity at the time of collision
Then,
be the velocity at the time of collisionThen,
chemistry-
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
chemistry-General