Physics
Question bank: Reflection and Mirrors |
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00971504825082
\[1 \star\]
An object is placed in front of a plane mirror. The ratio of the image length to the object length is equal to
Choose the correct answer
A
Greater than 1
B
Less than 1
C
The ratio changes according to the object's position
D
Equal to 1
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\[2\star\]
Irregular reflection occurs as shown in the figure below when light falls on one of the following surfaces
Choose the correct answer
A
Plane mirror
B
Still water
C
Wall
D
Polished surface
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\[3 \star\]
Light falls on a reflective surface as shown in the figure below. The angle of reflection is equal to
Choose the correct answer
A
\[𝜃_2 = 50^0\]
B
\[𝜃_2 = 80^0\]
C
\[𝜃_2 = 40^0\]
D
\[𝜃_2 = 100^0\]
Click here to show the solution method
\[4 \star\]
A card with the number 511 written on it as shown in the figure below is placed in front of a plane mirror. It appears as
Choose the correct answer
A
\[115\]
B
\[511\]
C
\[211\]
D
\[112\]
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\[5 \star\]
Light falls on a reflective surface as shown in the figure below. The angle between the incident ray and the surface is \[47^0\]. The angle between the incident ray and the reflected ray is equal to
Choose the correct answer
A
\[𝜃_2 = 94^0\]
B
\[𝜃_2 = 86^0\]
C
\[𝜃_2 = 47^0\]
D
\[𝜃_2 = 43^0\]
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\[6 \star\]
Two mirrors are placed perpendicularly as shown in the figure below. Light is incident on one of them at an angle of incidence of
\[40^0\]
The angle at which the light reflects off the second mirror is equal to
Choose the correct answer
A
\[𝜃_2 = 40^0\;\;\;\;\;\;\]
B
\[𝜃_2 = 35^0\;\;\;\;\;\;\]
C
\[𝜃_2 = 30^0\;\;\;\;\;\;\]
D
\[𝜃_2 = 50^0\;\;\;\;\;\;\]
Click here to show the solution method
One of the following answers is not a characteristic of real images
Choose the correct answer
A
Real images result from the convergence of reflected or refracted rays
B
Real images may be larger, smaller, or equal to the object
C
Real images are always upright
D
Real images can be received on a screen
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\[8 \star\]
In the figure, a concave mirror with a focal length of
12 Cm
An object is placed at a distance of
8 Cm
Then the magnification ratio equals
Choose the correct answer
A
\[ \mid M \mid = 2 \]
B
\[ \mid M \mid = 3 \]
C
\[ \mid M \mid = 2.5 \]
D
\[ \mid M \mid = 3.5 \]
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\[9 \star\]
An object was placed in front of a concave mirror at a distance of
\[30\;Cm\] from the mirror, and an inverted image equal to the object appeared. The focal length of the mirror equals
Choose the correct answer
A
\[ f=10 \;\; Cm \]
B
\[ f=25 \;\; Cm \]
C
\[ f=15 \;\; Cm \]
D
\[ f=20 \;\; Cm \]
Click here to show the solution method
\[10 \star\]
In the figure below, the dimensions are real. The distance of the image from the mirror equals
A
\[ X_i = - 40 \;\; Cm \]
B
\[ X_i = - 15 \;\; Cm \]
C
\[ X_i = - 30 \;\; Cm \]
D
\[ X_i = - 20 \;\; Cm \]
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\[11\star \star\]
A spherical mirror. An object was placed in front of it at a distance of 10 cm, and an upright image appeared with a height equal to half the height of the object. The type of mirror and its focal length equal
Choose the correct answer
A
\[ 𝑓=10\;\; 𝐶𝑚 \] Concave mirror
B
\[ 𝑓=3.33\;\; 𝐶𝑚 \] Concave mirror
C
\[ 𝑓=3.33\;\; 𝐶𝑚 \] Convex mirror
D
\[ 𝑓=-10\;\; 𝐶𝑚 \] Convex mirror
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\[12 \star\]
Ahmed's height is
\[1.6\;m\]
He stood in front of a concave mirror with a focal length of
\[ 20\; Cm\]
. An inverted image of him appeared with a height of
\[ 1.2 \;m\]
. The distance Ahmed is standing from the mirror equals
Choose the correct answer
A
\[ X_O = -38.2 \;\; 𝐶𝑚 \]
B
\[ X_O = 25.4 \;\; 𝐶𝑚 \]
C
\[ X_O = 46.6 \;\; 𝐶𝑚 \]
D
\[ X_O = 30.7 \;\; 𝐶𝑚 \]
Click here to show the solution method
\[13 \star \star\]
Ahmed placed an object in front of a concave mirror at different positions, and a graph was plotted between the reciprocal of the object distance from the mirror and the reciprocal of the image distance from the mirror, resulting in the following graph. The radius of curvature of the mirror is equal to
Choose the correct answer
A
\[ R = 12 \;\; 𝐶𝑚 \]
B
\[ R = 4\;\; 𝐶𝑚 \]
C
\[ R = 8\;\; 𝐶𝑚 \]
D
\[ R = 10 \;\; 𝐶𝑚 \]
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\[14 \star \star\]
A ruler was placed in front of a convex mirror at a distance of
\[ 20 \;Cm\]
and its image appeared inside the mirror at a distance of
\[5\; Cm \]
. Its focal length is equal to
Choose the correct answer
A
\[ f = -12.4 \;\; 𝐶𝑚 \]
B
\[ f = -9.5 \;\; 𝐶𝑚 \]
C
\[ f = -15 \;\; 𝐶𝑚 \]
D
\[ f = -6.67 \;\; 𝐶𝑚 \]
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\[15 \star \]
Car headlights are made of concave mirrors so that light rays can reach the farthest possible distance. The filament is placed at
Choose the correct answer
A
At the center of curvature
B
Between the center of curvature and the focus
C
At the focus
D
Between the focus and the mirror's pole
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\[16 \star \star \star \]
A convex mirror with a focal length of \[12\;cm\] has an object of height \[5\;cm\] placed in front of it at a distance of \[12\;cm\]. The height of the image is equal to
Choose the correct answer
A
\[ h_𝑖 = 2.5 \;\; 𝐶𝑚 \]
B
\[ h_𝑖 = 3 \;\; 𝐶𝑚 \]
C
\[ h_𝑖 = 1.5 \;\; 𝐶𝑚 \]
D
\[ h_𝑖 = 2 \;\; 𝐶𝑚 \]
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\[17 \star \star \star \]
An object was placed in front of a concave mirror at a distance of \[30\;cm\] from the mirror, and the image appeared at a distance of \[18\;cm\] from the mirror. The object was then moved to the image's location at a distance of \[18\;cm\] from the mirror. The image will now appear at a distance of
Choose the correct answer
A
\[ X_𝑖 = 25 \;\; 𝐶𝑚 \]
B
\[ X_𝑖 = 30 \;\; 𝐶𝑚 \]
C
\[ X_𝑖 = 48 \;\; 𝐶𝑚 \]
D
\[ X_𝑖 = 40 \;\; 𝐶𝑚 \]
Click here to show the solution method
\[18 \star \star \]
An object was placed in front of a concave mirror at different positions, one of the following figures. One of the following positions shows a real, inverted, and magnified image.
Choose the correct answer
A
Position A
B
Position B
C
Position C
D
Position D
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\[19\star \]
A candle was placed in front of a mirror as shown in the figure below. One of the following statements identifies the type of mirror and the properties of the image.
Choose the correct answer
A
Convex mirror - Virtual, upright, diminished image
B
Concave mirror - Real, inverted, magnified image
C
Plane mirror - Virtual, upright image equal to the object
D
Convex mirror - Virtual, upright, magnified image
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\[20 \star \star \]
Traffic police use mirrors at hidden road intersections placed on the side of the road so that drivers can see oncoming cars clearly. The advantages of this type of mirror include
Choose the correct answer
A
They converge rays and show real images
B
They converge rays and show virtual images
C
They diverge rays and show virtual images
D
They diverge rays and show real images
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\[21\star\star\]
Ahmed stood in front of a concave mirror, and a real, inverted, magnified image appeared as in the figure below. Therefore, the object is located at position
Choose the correct answer
A
\[Xo>r \;\;\;\;\;\;\]
B
\[ f>Xo\;\;\;\;\;\;\]
C
\[Xo=r\;\;\;\;\;\;\]
D
\[r>Xo>f\;\;\;\;\;\]
Click here to show the solution
\[22\star\star\]
Spherical aberration in spherical mirrors occurs because light rays reflecting off the mirror do not converge at a single focal point.
Which of the following mirrors has the least spherical aberration?
Choose the correct answer
A
Mirror A
B
Mirror B
C
Mirror C
D
Mirror D
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Answer the Following Questions
[1★]
Assume we have a convex spherical mirror with a radius of curvature
\[R=15\;Cm\].
An object is placed at a distance of
\[x_o=25\;Cm\]
from the mirror.
Calculate the image distance from the mirror.
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the image height relative to the object height.
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show the solution method
[2★]
An object of height
\[h_o=2\;Cm\]
is placed in front of a concave spherical mirror at a distance of
\[X_o=20\;Cm\]
and its focal length is
\[ f=10 \; cm\].
Calculate the position where the image is formed.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the image height.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Determine the characteristics of the image formed by the mirror.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
[3★]
Light reflects from the cornea, which acts like a convex mirror, and a keratometer measures the image magnification.
The smaller the magnification, the smaller the radius of curvature of the cornea.
A light source is at a distance from the cornea of
\[X_o=15 \;Cm\]
and the image magnification was
\[M=0.025\].
Calculate the position where the image is formed.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the radius of curvature of the cornea.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
[4★★]
A light ray struck a plane mirror at an angle of 30 degrees relative to the normal.
If the mirror is rotated by an angle of 15 degrees towards the incident ray
around the point where the ray hit the mirror, so that the angle of incidence of the light ray increased,
and the axis of rotation is perpendicular to the incident ray and the reflected ray,
Calculate the new angle of incidence
\[........................................................................................\]
\[........................................................................................\]
Calculate the angle of rotation of the reflected ray
\[........................................................................................\]
\[........................................................................................\]
\[........................................................................................\]
Click here to show the solution method
Comparison Table: Concave vs Convex Mirrors
Complete the data in the following table:
Mirror Name
................
................
Reflective Surface (Internal - External)
................
................
Effect on Light Rays
(Converging - Diverging)
................
................
Type of Image Formed
(Real - Virtual)
................
................
Image Size
(Magnified - Reduced - Same as Object)
................
................
Image Orientation
(Real - Inverted - Virtual - Upright)
................
................
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✏️ قلم
00971504825082
An object is placed in front of a plane mirror. The ratio of the image length to the object length is equal to
Choose the correct answer
Click here to show the solution method
Irregular reflection occurs as shown in the figure below when light falls on one of the following surfaces
Choose the correct answer
Click here to show the solution method
Light falls on a reflective surface as shown in the figure below. The angle of reflection is equal to
Choose the correct answer
Click here to show the solution method
A card with the number 511 written on it as shown in the figure below is placed in front of a plane mirror. It appears as
Choose the correct answer
Click here to show the solution method
Light falls on a reflective surface as shown in the figure below. The angle between the incident ray and the surface is \[47^0\]. The angle between the incident ray and the reflected ray is equal to
Choose the correct answer
Click here to show the solution method
Two mirrors are placed perpendicularly as shown in the figure below. Light is incident on one of them at an angle of incidence of \[40^0\] The angle at which the light reflects off the second mirror is equal to
Choose the correct answer
Click here to show the solution method
One of the following answers is not a characteristic of real images
Choose the correct answer
Click here to show the solution method
In the figure, a concave mirror with a focal length of
12 Cm
An object is placed at a distance of
8 Cm
Then the magnification ratio equals
Choose the correct answer
Click here to show the solution method
An object was placed in front of a concave mirror at a distance of \[30\;Cm\] from the mirror, and an inverted image equal to the object appeared. The focal length of the mirror equals
Choose the correct answer
Click here to show the solution method
Click here to show the solution method
A spherical mirror. An object was placed in front of it at a distance of 10 cm, and an upright image appeared with a height equal to half the height of the object. The type of mirror and its focal length equal
Choose the correct answer
Click here to show the solution method
Ahmed's height is \[1.6\;m\] He stood in front of a concave mirror with a focal length of \[ 20\; Cm\] . An inverted image of him appeared with a height of \[ 1.2 \;m\] . The distance Ahmed is standing from the mirror equals
Choose the correct answer
Click here to show the solution method
Ahmed placed an object in front of a concave mirror at different positions, and a graph was plotted between the reciprocal of the object distance from the mirror and the reciprocal of the image distance from the mirror, resulting in the following graph. The radius of curvature of the mirror is equal to
Choose the correct answer
Click here to show the solution method
A ruler was placed in front of a convex mirror at a distance of \[ 20 \;Cm\] and its image appeared inside the mirror at a distance of \[5\; Cm \] . Its focal length is equal to
Choose the correct answer
Click here to show the solution method
Car headlights are made of concave mirrors so that light rays can reach the farthest possible distance. The filament is placed at
Choose the correct answer
Click here to show the solution method
Choose the correct answer
Click here to show the solution method
Choose the correct answer
Click here to show the solution method
An object was placed in front of a concave mirror at different positions, one of the following figures. One of the following positions shows a real, inverted, and magnified image.
Choose the correct answer
Click here to show the solution method
Choose the correct answer
Click here to show the solution method
Choose the correct answer
Click here to show the solution method
Ahmed stood in front of a concave mirror, and a real, inverted, magnified image appeared as in the figure below. Therefore, the object is located at position
Choose the correct answer
Click here to show the solution
Spherical aberration in spherical mirrors occurs because light rays reflecting off the mirror do not converge at a single focal point.
Which of the following mirrors has the least spherical aberration?
Choose the correct answer
Click here to show the solution method
Answer the Following Questions
Assume we have a convex spherical mirror with a radius of curvature
\[R=15\;Cm\].
An object is placed at a distance of
\[x_o=25\;Cm\]
from the mirror.
Calculate the image distance from the mirror.
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Calculate the image height relative to the object height.
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
\[..........................................\;\;\;\;\;\;........................................\]
Click here to show the solution method
An object of height
\[h_o=2\;Cm\]
is placed in front of a concave spherical mirror at a distance of
\[X_o=20\;Cm\]
and its focal length is
\[ f=10 \; cm\].
Calculate the position where the image is formed.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the image height.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Determine the characteristics of the image formed by the mirror.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
Light reflects from the cornea, which acts like a convex mirror, and a keratometer measures the image magnification.
A light ray struck a plane mirror at an angle of 30 degrees relative to the normal.
Complete the data in the following table:
The smaller the magnification, the smaller the radius of curvature of the cornea.
A light source is at a distance from the cornea of
\[X_o=15 \;Cm\]
and the image magnification was
\[M=0.025\].
Calculate the position where the image is formed.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Calculate the radius of curvature of the cornea.
\[.........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
\[........................................\;\;\;\;\;\;....................................\]
Click here to show the solution method
If the mirror is rotated by an angle of 15 degrees towards the incident ray
around the point where the ray hit the mirror, so that the angle of incidence of the light ray increased,
and the axis of rotation is perpendicular to the incident ray and the reflected ray,
Calculate the new angle of incidence
\[........................................................................................\]
\[........................................................................................\]
Calculate the angle of rotation of the reflected ray
\[........................................................................................\]
\[........................................................................................\]
\[........................................................................................\]
Click here to show the solution method
Comparison Table: Concave vs Convex Mirrors
Mirror Name
................
................
Reflective Surface (Internal - External)
................
................
Effect on Light Rays
(Converging - Diverging)................
................
Type of Image Formed
(Real - Virtual)................
................
Image Size
(Magnified - Reduced - Same as Object)................
................
Image Orientation
(Real - Inverted - Virtual - Upright)................
................
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