Physics-
General
Easy
Question
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?
![](data:image/png;base64,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)
The correct answer is: ![1500 square root of 3 m](data:image/png;base64,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)
If it is being hit then
![d equals v subscript 0 end subscript t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent equals left parenthesis u cos invisible function application theta right parenthesis t](data:image/png;base64,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)
or ![t equals fraction numerator u cos invisible function application theta minus v subscript 0 end subscript over denominator a divided by 2 end fraction](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/487051/1/937284/Picture43.png)
![therefore blank t equals fraction numerator 600 cross times fraction numerator 1 over denominator 2 end fraction minus 250 over denominator 10 end fraction equals 5 blank s](data:image/png;base64,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)
![H equals open parentheses u sin invisible function application theta close parentheses t minus fraction numerator 1 over denominator 2 end fraction cross times g t to the power of 2 end exponent](data:image/png;base64,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)
![equals 600 cross times fraction numerator square root of 3 over denominator 2 end fraction cross times 5 minus fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 25](data:image/png;base64,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)
![H equals 2473 blank m](data:image/png;base64,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)
Related Questions to study
physics-
A light ray is incident by grazing one of the face of a prism and after refraction ray does not emerge out, what should be the angle of prism while critical angle is C</em
A light ray is incident by grazing one of the face of a prism and after refraction ray does not emerge out, what should be the angle of prism while critical angle is C</em
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
physics-
Figure shows the variation of the stopping potential (V0) with the frequency (v) of theincident radiations for two different photosensitive material M1 and M2 .What are the values of work functions for M1 and M2 respectively
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458522/1/937235/Picture73.png)
Figure shows the variation of the stopping potential (V0) with the frequency (v) of theincident radiations for two different photosensitive material M1 and M2 .What are the values of work functions for M1 and M2 respectively
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458522/1/937235/Picture73.png)
physics-General
physics-
The respective angles of the flint and crown glass prisms are
and A. They are to be used for dispersion without deviation, then the ratio of their angles
will be
The respective angles of the flint and crown glass prisms are
and A. They are to be used for dispersion without deviation, then the ratio of their angles
will be
physics-General
physics-
The two lines A and B shown in figure are the agraphs of the de Broglie wavelength l as function of
(V is the accelerating potential) for two particles having the same charge ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487038/1/937203/Picture70.png)
Which of the two represents the particle of heavier mass ?
The two lines A and B shown in figure are the agraphs of the de Broglie wavelength l as function of
(V is the accelerating potential) for two particles having the same charge ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487038/1/937203/Picture70.png)
Which of the two represents the particle of heavier mass ?
physics-General
physics-
In a photoelectric experiment anode potential is plotted against plate current
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458444/1/937196/Picture67.png)
In a photoelectric experiment anode potential is plotted against plate current
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458444/1/937196/Picture67.png)
physics-General
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?
![](data:image/png;base64,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)
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?
![](data:image/png;base64,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)
physics-General
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
Physics-General
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
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458425/1/937176/Picture64.png)
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
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458425/1/937176/Picture64.png)
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
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
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
physics-General
maths-
The ellipse
and the straight line y = mx + c intersect in real points only if
The ellipse
and the straight line y = mx + c intersect in real points only if
maths-General
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
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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
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Physics-General
physics-
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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)
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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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