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Light Reflection and Refraction Test - 61

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Light Reflection and Refraction Test - 61
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Which of the following is correct regarding reflection.
    Solution


    Reflection is a phenomenon in  which the incident rays are sent back into same medium following laws  of reflection.

    Answer-(A)

  • Question 2
    1 / -0
    In optical instruments, the lenses are used to form the image by the phenomenon of ...................................
    Solution
    In optical instruments, the lenses are used to form the images by the phenomenon of Refraction. 
  • Question 3
    1 / -0
    Convex lens
    Solution
    When the object is between the Focal point and the center of curvature then the image is formed beyond the imaginary point and behind the object which is virtual and magnified.
  • Question 4
    1 / -0
    A convex mirror of radius of curvature $$1.6 m$$ has an object placed at a distance of $$1m$$ from it. The image is formed at a distance of :
    Solution
    Given, $$f=\dfrac{1.6}{2}=0.8m$$ and $$u=-1m$$
    $$\dfrac{1}{f} = \dfrac{1}{v}-\dfrac{1}{u}$$
    $$\dfrac{1}{v} = \dfrac{1}{0.8} - \dfrac{1}{-1} = \dfrac{10}{8} + 1=\dfrac{9}{4}$$
    $$\Rightarrow v=\dfrac{4}{9}m$$
  • Question 5
    1 / -0
    The apparent flattening of the sun at sunset and sunrise is due to 
    Solution
    The apparent flattering of the sun at sunset and sunrise is due to refraction, because the sun becomes visible a little before actual sunrise and remains visible a little after actual sunset. because of atmosphere refraction of light. 
  • Question 6
    1 / -0
    If the angle of incidence is i and that of refraction is r. Then the speed of light in the medium to which the light is reflected from air is?
    Solution
    Given,
    Angle of incidence is$$ i$$
    Angle refraction is $$r$$

    From Snell's law, refracting index of second medium with respect to first medium

    $$\mu=\displaystyle\frac{\sin i}{\sin r}$$ ......(1)

    also 

    $$\mu=\displaystyle\frac{c}{v}$$.........(2)
     
    From above two equations 
    $$\therefore \displaystyle \mu=\frac{c}{v}=\frac{\sin i}{\sin r}$$

    $$\Rightarrow v=c\cdot \left(\displaystyle\frac{\sin r}{\sin i}\right)$$.

    Hence option C
  • Question 7
    1 / -0
    Lens spectacles are made from
    Solution
    Answer: Flint Glass.
    Flint glass is any highly refractive glass used to make lenses and prisms. Because it absorbs most ultraviolet light but comparatively little visible light, it is also used for telescope lenses.
  • Question 8
    1 / -0
    If the angle of incidence is twice the angle of refraction in a medium of refractive index $$\mu$$, then the angle of incidence is :
    Solution

  • Question 9
    1 / -0
    A ray of light is travelling through a medium of refractive index $$\dfrac {1}{\sqrt {2}}$$ with respect to air. When it is incident on the surface making an angle $$45^{\circ}$$ with the surface, which of the following will take place?
    Solution
    Given, $$\mu = \dfrac {1}{\sqrt {2}} w.r.t.$$ air $$i = 45^{\circ}, r = ?$$
    Also, $$\mu = \dfrac {\sin i}{\sin r}$$
    $$\Rightarrow \dfrac {1}{\sqrt {2}} = \dfrac {\sin 45^{\circ}}{\sin r} \Rightarrow \dfrac {1}{\sqrt {2}} =\dfrac {1/\sqrt {2}}{\sin r}$$
    $$\Rightarrow \sin r = 1$$
    $$\Rightarrow r = 90^{\circ}$$
    Note that the ray is incident from denser medium and is refracted into a rarer medium air.
  • Question 10
    1 / -0
    How will you design a shaving mirror assuming that a person keeps it $$10cm$$ from his face and view the magnified image of the face at the closest comfortable distance of $$25cm$$. The radius of curvature of the mirror would then be:
    Solution
    Given: 
    A person keeps a mirror at a distance of $$10cm$$ from his face and view the magnified image of the face at the closest comfortable distance of$$ 25cm.$$ 
    Since magnified image on other side of mirror is produced it is clearly a concave mirror with case of object between POLE and FOCUS of mirror.
    To find the radius of curvature of the mirror
    Solution:
    From given criteria,
    Object distance, $$u=-10cm$$
    Image distance, $$v=25cm$$ refer above fig.
    Applying the mirror formula, we get
    $$\dfrac 1f=\dfrac 1v+\dfrac 1u\\\implies \dfrac 1f=\dfrac 1{25}+\dfrac 1{(-10)}\\\implies \dfrac 1f=\dfrac {-3}{50}\\\implies f=\frac{-50}{3}cm$$
    And Radius of curvature, $$R=2f=2\times \frac{-50}{3}=-33.3cm$$
    Hence the radius of curvature of the mirror will be $$-33.3 cm.$$

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