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𝜃θ.0𝑜0 o 30𝑜30 o 45𝑜45 o 60𝑜60 o        A man runs towards a mirror at a speed of 30 m/s. Then calculate the speed of the image relative to the man.15 m/s30 m/s45 m/s60 m/s       In a magical plane mirror, the virtual image of an object is formed at 4 times the distance of the object from the mirror. If the distance between the object and its virtual image is 60 cm, what is the distance of the object from the display screen?10 cm12 cm15 cm20 cm       In a solar power system, a plane mirror is used to reflect sunlight onto a solar panel. If the plane mirror is rotated through an angle of 30𝑜30 o , by what angle is the reflected sunlight rotated?20𝑜20 o 40𝑜40 o 60𝑜60 o 80𝑜80 o        In a laser cutting machine, the laser beam strikes a plane mirror at an angle of 30o30 o to the normal. If the laser is adjusted so that the angle of incidence increases by 20o20 o , what is the new angle of reflection in degrees?60o60 o 50o50 o 49o49 o 40o40 o        During a physics experiment involving reflection, a light beam hits a plane mirror at an angle of incidence of 58o58 o . Calculate the angle of deviation for the reflected beam.58o58 o 116o116 o 64o64 o 180o180 o        In a security system, a convex mirror with a focal length of 20 cm is installed to provide a wide field of view. If an object 15 cm tall is placed 30 cm in front of the mirror, calculate the magnification of the image formed.0.60.50.40.3       In a homemade projector, a concave mirror with a focal length of 8 cm is used to project an image onto a screen. If an object with a height of 5 cm is positioned 12 cm in front of the concave mirror, at what distance should the screen be located to capture a sharp image? Additionally, calculate the height of the image formed on the screen.12 cm and 12 cm respectively12 cm and 10 cm respectively24 cm and 12 cm respectively24 cm and 10 cm respectively       A makeup artist uses a concave mirror with a focal length of 18 cm to get a closer view of a client's face. If the client's face is positioned 12 cm from the mirror, where will the image of the face appear and what will be the nature of the image?18 cm; virtual, erect and magnified18 cm; real, erect and diminished36 cm; real, upright and diminished36 cm; virtual, upright and magnified

Question

𝜃θ.0𝑜0 o 30𝑜30 o 45𝑜45 o 60𝑜60 o        A man runs towards a mirror at a speed of 30 m/s. Then calculate the speed of the image relative to the man.15 m/s30 m/s45 m/s60 m/s       In a magical plane mirror, the virtual image of an object is formed at 4 times the distance of the object from the mirror. If the distance between the object and its virtual image is 60 cm, what is the distance of the object from the display screen?10 cm12 cm15 cm20 cm       In a solar power system, a plane mirror is used to reflect sunlight onto a solar panel. If the plane mirror is rotated through an angle of 30𝑜30 o , by what angle is the reflected sunlight rotated?20𝑜20 o 40𝑜40 o 60𝑜60 o 80𝑜80 o        In a laser cutting machine, the laser beam strikes a plane mirror at an angle of 30o30 o to the normal. If the laser is adjusted so that the angle of incidence increases by 20o20 o , what is the new angle of reflection in degrees?60o60 o 50o50 o 49o49 o 40o40 o        During a physics experiment involving reflection, a light beam hits a plane mirror at an angle of incidence of 58o58 o . Calculate the angle of deviation for the reflected beam.58o58 o 116o116 o 64o64 o 180o180 o        In a security system, a convex mirror with a focal length of 20 cm is installed to provide a wide field of view. If an object 15 cm tall is placed 30 cm in front of the mirror, calculate the magnification of the image formed.0.60.50.40.3       In a homemade projector, a concave mirror with a focal length of 8 cm is used to project an image onto a screen. If an object with a height of 5 cm is positioned 12 cm in front of the concave mirror, at what distance should the screen be located to capture a sharp image? Additionally, calculate the height of the image formed on the screen.12 cm and 12 cm respectively12 cm and 10 cm respectively24 cm and 12 cm respectively24 cm and 10 cm respectively       A makeup artist uses a concave mirror with a focal length of 18 cm to get a closer view of a client's face. If the client's face is positioned 12 cm from the mirror, where will the image of the face appear and what will be the nature of the image?18 cm; virtual, erect and magnified18 cm; real, erect and diminished36 cm; real, upright and diminished36 cm; virtual, upright and magnified

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Solution

  1. The speed of the image relative to the man in a mirror is always twice the speed of the man. So, the speed of the image relative to the man is 2*30 m/s = 60 m/s.

  2. In a magical plane mirror, the virtual image of an object is formed at 4 times the distance of the object from the mirror. So, the distance of the object from the mirror is 60 cm / 5 = 12 cm.

  3. When a plane mirror is rotated through an angle, the reflected sunlight is rotated by twice that angle. So, if the plane mirror is rotated through an angle of 30 degrees, the reflected sunlight is rotated by 2*30 = 60 degrees.

  4. According to the law of reflection, the angle of incidence is equal to the angle of reflection. So, if the angle of incidence increases by 20 degrees, the new angle of reflection is 30 degrees + 20 degrees = 50 degrees.

  5. The angle of deviation for the reflected beam is twice the angle of incidence. So, the angle of deviation for the reflected beam is 2*58 degrees = 116 degrees.

  6. The magnification of the image formed by a convex mirror is given by the ratio of the image height to the object height. The image formed by a convex mirror is always virtual, erect and diminished. So, the magnification is less than 1. Without more information, we cannot calculate the exact magnification.

  7. The formula for the image distance in a concave mirror is 1/f = 1/v + 1/u. Here, f is the focal length, v is the image distance, and u is the object distance. We can use this formula to calculate the image distance. The height of the image can be calculated using the magnification formula, which is the ratio of the image height to the object height.

  8. The formula for the image distance in a concave mirror is 1/f = 1/v + 1/u. Here, f is the focal length, v is the image distance, and u is the object distance. We can use this formula to calculate the image distance. The nature of the image can be determined by the sign of the magnification. If the magnification is positive, the image is virtual and erect. If the magnification is negative, the image is real and inverted.

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