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Light Reflection and Refraction Test - 30

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Light Reflection and Refraction Test - 30
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  • Question 1
    1 / -0
    What is known as linear magnification of spherical mirrors?
    Solution

    Ratio of size of image to size of object is known as linear magnification of spherical mirrors.

    Linear magnification (m) is the ratio of height of image to that of the object.

  • Question 2
    1 / -0
    A real image is
    Solution
    $$\textbf{Part1: Definition}$$
    Real image is found when the rays of light converge at a point after reflection on a mirror or after refraction through lens.
    $$\textbf{Part2: Real image }$$
    If we place an object above the x-axis then by geometry the rays will converge below the axis .
    Therefore, the image formed will be an inverted image.
    Hence , a real image is always inverted.
  • Question 3
    1 / -0
    $$\dfrac {\sin i}{\sin r} = ......$$
    Solution
    The ratio of the sine of the incident angle $$(i)$$ to the sine of the refracted angle $$(r)$$ constant for a pair of two media and is equal to the refractive index of the media.
  • Question 4
    1 / -0
    A ray of light travels from a denser to a rarer medium then, the ray :
    Solution
    When light travels from denser to rarer medium, the velocity of light increases which results in bending of light away from the normal.

  • Question 5
    1 / -0
    The height of the image formed by an object of height $$10 cm$$ placed in front of a plane mirror is ________.
    Solution
    If an object is placed in front of a plane mirror, the size of the object remains same. This is the property of plane mirror. So the height of the object will be $$10 cm$$ only.
  • Question 6
    1 / -0
    When a ray of light travels from air to glass slab and strikes the surface of separation at $$90^o$$, then it ....... .
    Solution
    When light ray travel normally from one medium to the other medium the light ray passes unbent without showing any refraction.
  • Question 7
    1 / -0
    A square wire of side $$3.0 cm$$ is placed $$25 cm$$ in front of a concave mirror of focal length $$10  cm$$, with its centre on the axis of the mirror and its plane normal to the axis. The area enclosed by the image of the wire is :
    Solution
    We know that the magnification of a concave mirror is given as $$m=\displaystyle\frac{f}{f-u}$$.
    So, we get: $$m=\displaystyle\frac{-10}{-10-(-25)}=-\frac{2}{3}$$
    Thus the length of the side gets magnified by this factor. The image length is thus $$\displaystyle\frac{2}{3}\times 3=2  cm$$
    Area of the image is thus $$2\times 2=4  cm^2$$
  • Question 8
    1 / -0
    A needle of length $$5\ cm$$, placed $$45 cm$$ from a lens, forms an image on a screen placed $$90\ cm$$ on the other side of the lens. The type of lens and its focal length is:
    Solution
    Object distance, $$u = -45\ cm$$
    image distance, $$v = 90\ cm$$
    focal length, $$f$$
    Using Lens formula,
    $$\dfrac{1}{f} = \dfrac{1}{v} - \dfrac{1}{u}$$

    $$\dfrac{1}{f} = \dfrac{1}{90} - \dfrac{1}{\left(-45\right)}$$

    $$\dfrac{1}{f} = \dfrac{1 + 2}{90} = \dfrac{3}{90}$$

    $$f = 30\ cm$$
    Focal length is positive
    $$\therefore$$ The type of lens is a convex lens
  • Question 9
    1 / -0
    If a spherical mirror is immersed in a liquid, its focal length will:
    Solution
    Focal length is the property of the spherical mirror. So, it does not changes when immersed in liquid.
  • Question 10
    1 / -0
    A convex lens of focal length $$15\ cm$$ produces a virtual image at a distance of $$30\ cm$$ from the lens. The object distance is:
    Solution
    Given, convex lens
    Focal length, $$f=15\ cm$$
    Object distance, $$v=-30\ cm$$ (virtual image, behind the lens)
    Object distance,$$u$$

    Using Lens formula,

    $$\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}$$

    $$\implies \dfrac{1}{u}=\dfrac{1}{v}-\dfrac{1}{f}$$

    $$ \dfrac{1}{u}=\dfrac{1}{-30}-\dfrac{1}{15}$$

    $$ \dfrac{1}{u}=\dfrac{-2-1}{30}$$

    $$ \dfrac{1}{u}=\dfrac{-3}{30}$$

    $$u=-10\ cm$$
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