Physics-
General
Easy
Question
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?

- The time of flight of each particle is the same.
- The particles will collide the plane with same speed
- Both the particles strike the plane perpendicularly
- The particles will collide in mid air if projected simultaneously and time of flight of each particle is less than the time of collision
The correct answer is: The time of flight of each particle is the same.
Here, 

Time of flight of
is, 

Time of flight of
is, 
So,
. The acceleration of both the particles is
downwards. Therefore, relative acceleration between the two is 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.
Related Questions to study
Physics-
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis

Assuming particle 2 to be at rest, substituting in


We have
or
Which is a straight line passing through origin with slope

We have
or
Which is a straight line passing through origin with slope
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis

Physics-General
Assuming particle 2 to be at rest, substituting in


We have
or
Which is a straight line passing through origin with slope

We have
or
Which is a straight line passing through origin with slope
physics-
a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
b) Also name the important hypothesis that was confirmed by this experiment

a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
b) Also name the important hypothesis that was confirmed by this experiment

physics-General
physics-
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is

Let
is the angular speed of revolution






Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is

physics-General
Let
is the angular speed of revolution






physics-
A ball of mass
kg is attached to the end of a string having length
0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is


A ball of mass
kg is attached to the end of a string having length
0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is

physics-General

maths-
The ellipse
and the straight line y = mx + c intersect in real points only if
Þ (b2 + a2 m2) x2 + 2 mca2 x + a2 (c2 - b2) = 0
D > 0 Þ m2c2a4 - a2 (c2 - b2)(b2 + a2m2) > 0 Þ b2 + a2m2 > c2
The ellipse
and the straight line y = mx + c intersect in real points only if
maths-General
Þ (b2 + a2 m2) x2 + 2 mca2 x + a2 (c2 - b2) = 0
D > 0 Þ m2c2a4 - a2 (c2 - b2)(b2 + a2m2) > 0 Þ b2 + a2m2 > c2
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
.
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
.
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 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-
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-
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
Similarly,
The 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.
As
therefore the bridge is balanced.

Similarly,
effective capacitance

As
Similarly,
physics-
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-
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 containing
capacitor is

Now,
Charge in the arm containing
For the circuit shown in figure the charge on 4
F capacitor is

physics-General
Combined capacity of
and
= 1 + 5=
Now,
and
are in series.


Charge in the arm containing
capacitor is

Now,
Charge in the arm containing
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
Maths-
Polar of origin (0, 0) w.r.t. the circle
touches the circle
, if
Polar of origin (0, 0) w.r.t. the circle
touches the circle
, if
Maths-General
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