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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Related Questions to study
physics-
Average torque on a projectile of mass
, initial speed
and angles of projection
, between initial and final position
and
as shown in figure about the point of projection is

Time of flight. 
Horizontal range,
Change in angular momentum,
about point of projection




Horizontal range,
Change in angular momentum,
Average torque on a projectile of mass
, initial speed
and angles of projection
, between initial and final position
and
as shown in figure about the point of projection is

physics-General
Time of flight. 
Horizontal range,
Change in angular momentum,
about point of projection




Horizontal range,
Change in angular momentum,
physics-
Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then

All the balls are projected from the same height, therefore their velocities will be equal.

Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then

physics-General
All the balls are projected from the same height, therefore their velocities will be equal.

maths-
The equation of the plane containing the line
where al + bm + cn is equal to
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Hence (c) is the correct answer.
The equation of the plane containing the line
where al + bm + cn is equal to
maths-General
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Hence (c) is the correct answer.
physics-
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length
where
is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length
where
is in metre and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

physics-General
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 string of length
is fixed at one end and the string makes
rev/s around the vertical axis through, the fixed and as shown in the figure, then tension in the string is

A string of length
is fixed at one end and the string makes
rev/s around the vertical axis through, the fixed and as shown in the figure, then tension in the string is

physics-General
physics-
A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

Velocity of the bob at the point A
(i)
A bob of mass M is suspended by a massless string of length L. The horizontal velocity at position A is just sufficient to make it reach the point B. The angle at which the speed of the bob is half of that at A, satisfies

physics-General
Velocity of the bob at the point A
(i)
maths-
The shortest distance between the two straight line and is
The shortest distance between the two straight line and is
maths-General
physics-
A thin prism
with angle
and made from glass of refractive index 1.54 is combined with another thin prism
of refractive index 1.72 to produce dispersion without deviation. The angle of prism
will be
Þ A'
A thin prism
with angle
and made from glass of refractive index 1.54 is combined with another thin prism
of refractive index 1.72 to produce dispersion without deviation. The angle of prism
will be
physics-General
Þ A'
maths-
The value of (where {x} is the fractional part of x) is
The value of (where {x} is the fractional part of x) is
maths-General
physics-
A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected, if
. The index of refraction of glass is

For total internal reflection 

or
or
A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected, if
. The index of refraction of glass is

physics-General
For total internal reflection 

or
or
maths-
The value of is equal to
Given plane y + z + 1 = 0 is parallel to x-axis as 0.1 + 1.0 + 1.0 = 0
but normal to the plane will be perpendicular to x-axis.
Hence (c) is the correct answer.
The value of is equal to
maths-General
Given plane y + z + 1 = 0 is parallel to x-axis as 0.1 + 1.0 + 1.0 = 0
but normal to the plane will be perpendicular to x-axis.
Hence (c) is the correct answer.
maths-
Let denotes greatest integer function, then is equal to
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
Let denotes greatest integer function, then is equal to
maths-General
Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.
physics-
Which of the following diagrams, shows correctly the dispersion of white light by a prism
Because in dispersion of white light, the rays of different colours are not parallel to each other. Also deviation takes place in same direction.
Which of the following diagrams, shows correctly the dispersion of white light by a prism
physics-General
Because in dispersion of white light, the rays of different colours are not parallel to each other. Also deviation takes place in same direction.
maths-
is equal to
Let direction cosines of straight line be l, m, n
\ 4l + m + n = 0
l – 2m + n = 0
Þ Þ
\ Equation of straight line is .
Hence (c) is the correct choice.
is equal to
maths-General
Let direction cosines of straight line be l, m, n
\ 4l + m + n = 0
l – 2m + n = 0
Þ Þ
\ Equation of straight line is .
Hence (c) is the correct choice.