Physics-
General
Easy
Question
A body is at rest at
. At
, it starts moving in the positive
-direction with a constant acceleration. At the same instant another body passes through
moving in the positive
-direction with a constant speed. The position of the first body is given by
after time ‘
’ and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ‘
’
The correct answer is: ![](data:image/png;base64,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)
and ![x subscript 2 end subscript equals u t blank therefore x subscript 1 end subscript minus x subscript 2 end subscript equals fraction numerator 1 over denominator 2 end fraction blank a t to the power of 2 end exponent minus u t](data:image/png;base64,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)
.This equation is of parabola
and ![fraction numerator d to the power of 2 end exponent y over denominator d t to the power of 2 end exponent end fraction equals a](data:image/png;base64,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)
As
graph shows possess minima at ![t equals fraction numerator u over denominator a end fraction](data:image/png;base64,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)
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physics-
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,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)
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,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)
physics-General
physics-
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
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physics-General
Maths-
The value of k such that
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
The value of k such that
lies in the plane 2x-4y+z+7=0 is
Maths-General
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
maths-
The distance between the line
and the plane
is (units)
The distance between the line
and the plane
is (units)
maths-General
maths-
The number of solutions of the equation
where
for
in the interval
is
The number of solutions of the equation
where
for
in the interval
is
maths-General
physics-
The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?
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)
The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?
![](data:image/png;base64,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)
physics-General
maths-
The value of k for which the lines
and
are perpendicular is
The value of k for which the lines
and
are perpendicular is
maths-General
maths-
If the straight lines x=1+s,y=-3-λs,z=1+λs and
, z=2-t, with parameters s and t respectively, are co planar, then λ=
If the straight lines x=1+s,y=-3-λs,z=1+λs and
, z=2-t, with parameters s and t respectively, are co planar, then λ=
maths-General
maths-
If 5 cas ![2 theta plus 2 Cos squared space left parenthesis theta divided by 2 right parenthesis plus 1 equals 0 comma 0 less than theta less than pi not stretchy rightwards double arrow theta equals](data:image/png;base64,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)
If 5 cas ![2 theta plus 2 Cos squared space left parenthesis theta divided by 2 right parenthesis plus 1 equals 0 comma 0 less than theta less than pi not stretchy rightwards double arrow theta equals](data:image/png;base64,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)
maths-General
physics-
A boy begins to walk eastward along a street infront of his house and the graph of his displacement from home is shown in the following figure. His average speed for in the whole-time interval is equal to
![](data:image/png;base64,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)
A boy begins to walk eastward along a street infront of his house and the graph of his displacement from home is shown in the following figure. His average speed for in the whole-time interval is equal to
![](data:image/png;base64,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)
physics-General
maths-
The values of
satisfying
and
are
The values of
satisfying
and
are
maths-General
physics-
A body of mass
is resting on a wedge of angle
as shown in figure. The wedge is given at acceleration
. What is the value of a son that the mass
just falls freely?
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)
A body of mass
is resting on a wedge of angle
as shown in figure. The wedge is given at acceleration
. What is the value of a son that the mass
just falls freely?
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)
physics-General
physics-
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is
![](data:image/png;base64,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)
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is
![](data:image/png;base64,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)
physics-General
physics-
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
![](data:image/png;base64,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)
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
![](data:image/png;base64,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)
physics-General