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Ray Optics and Optical Instruments Test - 10

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Ray Optics and Optical Instruments Test - 10
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  • Question 1
    1 / -0.25

    A point source of light is placed in front of a plane mirror.

    Solution

    Plane mirror always forms a virtual image of the real object for all the rays emitted by the object. So, when a point source of light is placed in front of a  plane mirror, all the reflected rays meet at a point when produced backward.
    Option B is correct.
     

  • Question 2
    1 / -0.25

    A point object is kept in front of a plane mirror. The plane mirror is doing SHM of amplitude 2cm. The plane mirror moves along the x-axis and x-axis is normal to the mirror. The amplitude of the mirror is such that the object is always infront of the mirror. The amplitude of SHM of the image is

    Solution

    Assume the mirror is at the origin and it is moving about the origin along x direction between x = -2 and x = +2 as its extreme positions.
    Assume that the object is placed at co=ordinate of x = - (2+x)
    So, when mirror is at position x = -2, the object 's image will be formed at x coordinate X = - 2+x  
    And when the mirror is at position x = +2, the image is formed at X = 6+x  
    So, the net difference in the position of image between these 2 co-ordinates is ( 6 + x  ) - ( -2 + x ) = 8
    So, the amplitude will be half of this distance. So the answer is 8/2 = 4 cm. 
    Option C is correct.
     

  • Question 3
    1 / -0.25

    A watch shows the time as 3 : 25. What will be the time that appears when seen through a plane mirror ?

    Solution

    The relation between actual time and given time is:
    Actual time=11:60 −given time
    Actual time=11:60 −3:25=8:35

  • Question 4
    1 / -0.25

    If a ray of light is incident on a plane mirror at an angle 60 °from the mirror surface, then deviation produced by mirror is

    Solution

    According to the law of reflection, the angle of incidence and angle of reflection are equal. Both these angles are measured with respect to a line normal to the reflection surface. If I understand the question correctly, the incident ray makes an angle of 60 degrees with the mirror surface, then the angle of incidence can be calculated as:

    Angle of incidence = 90 - angle made with the mirror surface

    = 90 - 60 = 30 degrees.

    Since, angle of incidence = angle of reflection = 30 degrees .

    The incident ray will have an angle of reflection of 30 degrees (made with a surface normal to the mirror surface).

    The reflected ray will make an angle of 60 degrees (90 - 30 degrees) with the mirror surface.

  • Question 5
    1 / -0.25

    When light is reflected from a mirror a change occurs in its

    Solution

    When a light wave is reflected from an object , it changes not only it 's amplitude but also its phase according to the properties of the object at a particular point. 
    Therefore, option A is the right answer.

  • Question 6
    1 / -0.25

    The images of clouds and trees in water always less bright than in reality

    Solution

    The images of clouds and trees in water are always less bright than in reality because only a portion of the incident light is reflected and quite a large portion goes mid water.

  • Question 7
    1 / -0.25

    A rays is incident at an angle 38 ºon a mirror. The angle between normal and reflected ray is

    Solution

     As per the question, rays are falling on the mirror, which cleared that Regular reflection is taking place.
    So, As per the laws of regular reflection.
    =>∠incident= ∠reflection
    ∠incident= ∠reflection=38Ao
    Also we know that normal is at 90 °to the mirror.
    Now, to get the required angle we need to reduce angle of reflection from normal.
    =>90Ao -38Ao =52Ao
    so, the correct answer is option B.

  • Question 8
    1 / -0.25

    Mark the correct options

    Solution

    If the final rays are converging, we have a real image.
    This is because a real image is formed by converging reflected/refracted rays from a mirror/lens.
    The correct answer is option B.

  • Question 9
    1 / -0.25

    A point source of light is placed in front of a plane mirror.

    Solution

    Plane mirror always forms a virtual image of the real object for all the rays emitted by the object. So, when a point source of light is placed in front of a  plane mirror, all the reflected rays meet at a point when produced backward.
    Option A is correct.

  • Question 10
    1 / -0.25

    Which of the following letters do not surface lateral inversion

    Solution

    Lateral inversion-The phenomenon of left side appearing right side and right side appearing left side on reflection in a plane mirror is called lateral inversion.
    Letters that do not show lateral inversion are,
    A, H, I, M, O, T, U, V, W, X, Y
    Hence, HOX will not show lateral inversion. 

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