Maths-
Polar of origin (0, 0) w.r.t. the circle 
touches the circle 
, if
Maths-General
Answer:The correct answer is:
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physics-
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance 
below the highest point such that
From law of conservation of energy, potential energy of fall gets converted to kinetic energy.
Also, the horizontal component of force is equal centrifugal force.
From Eq. (i)
From
Also, the horizontal component of force is equal centrifugal force.
From Eq. (i)
From
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance below the highest point such that
physics-General
From law of conservation of energy, potential energy of fall gets converted to kinetic energy.
Also, the horizontal component of force is equal centrifugal force.
From Eq. (i)
From
Also, the horizontal component of force is equal centrifugal force.
From Eq. (i)
From
physics-
Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s -1 The frequency of the incident light in s-1 is [h=6 x 10-34J-sec;charge on the electron=1.6x10-19C]
Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s -1 The frequency of the incident light in s-1 is [h=6 x 10-34J-sec;charge on the electron=1.6x10-19C]
physics-General
physics-
Trajectories of two projectiles are shown in figure. Let 
and 
be the time periods and 
and 
their speeds of projection. Then
Maximum height and time of flight depend on the vertical component of initial velocity
Here
Range
Here
Range
Trajectories of two projectiles are shown in figure. Let and be the time periods and and their speeds of projection. Then
physics-General
Maximum height and time of flight depend on the vertical component of initial velocity
Here
Range
Here
Range
physics-
For the circuit shown in figure the charge on 4
F capacitor is
Combined capacity of 
and 
= 1 + 5=
Now,
and 
are in series.
Charge in the arm containingcapacitor is
and = 1 + 5=Now,
and are in series.Charge in the arm containing
capacitor isFor the circuit shown in figure the charge on 4F capacitor is
physics-General
Combined capacity of and = 1 + 5=
Now,and are in series.
Charge in the arm containingcapacitor is
and = 1 + 5=Now,
and are in series.Charge in the arm containing
capacitor isphysics-
The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
Charge on each plate of each capacitor
The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
physics-General
Charge on each plate of each capacitor
physics-
The effective capacitance between points 
and 
shown in figure. Assuming 
F and that outer capacitors are all 
F is
The arrangement shows a Wheatstone bridge.
As
therefore the bridge is balanced.
Similarly,
effective capacitance
As
therefore the bridge is balanced.Similarly,
effective capacitanceThe effective capacitance between points and shown in figure. Assuming F and that outer capacitors are all F is
physics-General
The arrangement shows a Wheatstone bridge.
Astherefore the bridge is balanced.
Similarly,
effective capacitance
As
therefore the bridge is balanced.Similarly,
effective capacitancephysics-
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
physics-General
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 body is projected up a smooth inclined plane with a velocity 
from the point as shown in figure. The angle of inclination is 
and top 
of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of ? Length of the inclined plane is 
, and 
Let 
be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so 
or
or
Taking motion of the body from to along the inclined plane we have
As
or
or 
be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so or
or
Taking motion of the body from
to along the inclined plane we haveAs
or
or A body is projected up a smooth inclined plane with a velocity from the point as shown in figure. The angle of inclination is and top of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of ? Length of the inclined plane is , and
physics-General
Let be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so
or
or
Taking motion of the body from to along the inclined plane we have
As
or or
be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so or
or
Taking motion of the body from
to along the inclined plane we haveAs
or
or maths-
The equation of the circumcircle of the triangle formed by the lines 
and y=0 is
The equation of the circumcircle of the triangle formed by the lines and y=0 is
maths-General
physics-
Which of the substance 
or 
has the highest specific heat? The temperature 
time graph is shown
Substances having more specific heat take longer time to get heated to a higher temperature and longer time to get cooled.
If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that
If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that
Which of the substance or has the highest specific heat? The temperature time graph is shown
physics-General
Substances having more specific heat take longer time to get heated to a higher temperature and longer time to get cooled.
If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that
If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that
physics-
Four capacitors are connected as shown in figure. The equivalent capacitance between and is
Capacitance between A and B
Four capacitors are connected as shown in figure. The equivalent capacitance between and is
physics-General
Capacitance between A and B
physics-
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
The forces acting on the ball will be (i) in the direction opposite to its motion 
frictional force and(ii) weight 
.
frictional force and(ii) weight .A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
physics-General
The forces acting on the ball will be (i) in the direction opposite to its motion frictional force and(ii) weight .
frictional force and(ii) weight .physics-
The figure shows a system of two concentric spheres of radii 
and 
and kept at temperatures and respectively. The radial rate of flow of heat in a substance between the two concentric spheres, is proportional to
To measure the radial rate of heat flow, we have to go for integration technique as here the area of the surface through which heat will flow is not constant.
Let us consider an element (spherical shell) of thickness d
and radius as shown in figure. Let us first find the equivalent thermal resistance between inner and outer sphere.
Resistance of shell=
=
Rate of heat flow = H
=
=
Let us consider an element (spherical shell) of thickness d
and radius as shown in figure. Let us first find the equivalent thermal resistance between inner and outer sphere.Resistance of shell=
=
Rate of heat flow = H
=
=
The figure shows a system of two concentric spheres of radii and and kept at temperatures and respectively. The radial rate of flow of heat in a substance between the two concentric spheres, is proportional to
physics-General
To measure the radial rate of heat flow, we have to go for integration technique as here the area of the surface through which heat will flow is not constant.
Let us consider an element (spherical shell) of thickness d and radius as shown in figure. Let us first find the equivalent thermal resistance between inner and outer sphere.
Resistance of shell=
=
Rate of heat flow = H
=
=
Let us consider an element (spherical shell) of thickness d
and radius as shown in figure. Let us first find the equivalent thermal resistance between inner and outer sphere.Resistance of shell=
=
Rate of heat flow = H
=
=
maths-
If the line y = x + 3 meets the circle 
at A and B, then equation of the circle on AB as diameter is
If the line y = x + 3 meets the circle at A and B, then equation of the circle on AB as diameter is
maths-General