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?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905855/1/912209/Picture487.png)
- 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 of collision
The correct answer is: The time of flight of each particle is the same
![H e r e comma blank alpha equals 2 theta comma blank beta equals theta](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/905855/1/912209/Picture48.png)
![T i m e blank o f blank f l i g h t blank o f blank A blank i s comma](data:image/png;base64,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)
![T subscript 1 end subscript equals fraction numerator 2 u sin invisible function application open parentheses alpha minus beta close parentheses over denominator g cos invisible function application beta end fraction](data:image/png;base64,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)
![equals fraction numerator 2 u sin invisible function application open parentheses 2 theta minus theta close parentheses over denominator g cos invisible function application theta end fraction](data:image/png;base64,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)
![equals fraction numerator 2 u over denominator g end fraction tan invisible function application theta](data:image/png;base64,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)
![T i m e blank o f blank f l i g h t blank o f blank B blank i s comma blank T subscript 2 end subscript equals fraction numerator 2 u sin invisible function application theta over denominator g cos invisible function application theta end fraction](data:image/png;base64,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)
![equals fraction numerator 2 u over denominator g end fraction tan invisible function application theta](data:image/png;base64,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)
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.
Related Questions to study
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486030/1/912200/Picture486.png)
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486030/1/912200/Picture486.png)
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
![](data:image/png;base64,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)
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
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)
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
Physics-
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905679/1/912154/Picture483.png)
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905679/1/912154/Picture483.png)
Physics-General
physics-
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
physics-General
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486055/1/912010/Picture480.png)
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486055/1/912010/Picture480.png)
physics-General
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
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)
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
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)
Physics-General
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
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
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
Physics-General
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
physics-General
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
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)
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
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)
physics-General
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
chemistry-
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
chemistry-General
chemistry-
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
chemistry-General
chemistry-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
chemistry-General
chemistry-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
chemistry-General