Q 1 :    

Given below are two statements:

Statement I: Image formation needs regular reflection and/or refraction.
Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.

In the light of the above statements, choose the most appropriate answer from the options given below:                   [2024]

  • Statement I is correct but Statement II is incorrect.

     

  • Statement I is incorrect but Statement II is correct.

     

  • Both Statement I and Statement II are correct.

     

  • Both Statement I and Statement II are incorrect.

     

(1)

Regular reflection is necessary for image formation, that is why we can see our image in a mirror but not on a wall. So, statement-I is correct. Different colours in white light as its constituents are responsible for variety in colour of objects.

 



Q 2 :    

An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be               [2018]

  • 30 cm away from the mirror

     

  • 36 cm away from the mirror

     

  • 30 cm towards the mirror

     

  • 36 cm towards the mirror

     

(2)

Using mirror formula,

1f=1v1+1u1;  -115=1v1-1401v1=1-15+140

v1=-24cm

When object is displaced by 20 cm towards mirror.

Now, u2=-20cm

1f=1v2+1u2;  1-15=1v2-1201v2=120-115;

v2=-60cm

So, the image will be shift away from mirror by (60 - 24) cm = 36 cm.



Q 3 :    

A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by   [2017]

  • yx

     

  • x2y

     

  • xy

     

  • y2x

     

(4)

When mirror is rotated by θ angle, reflected ray will be rotated by 2θ.

For small angle θ,

tan2θ2θ=yx

   θ=y2x

 



Q 4 :    

Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]                [2016]

  Column 1   Column 2
(A) m = –2 (p) Convex mirror
(B) m=-12 (q) Concave mirror
(C) m = +2 (r) Real image
(D) m=+12 (s) Virtual image

 

  • A → p and s; B → q and r; C → q and s; D → q and r

     

  • A → r and s; B → q and s; C → q and r; D → p and s

     

  • A → q and r; B → q and r; C → q and s; D → p and s

     

  • A → p and r; B → p and s; C → p and q; D → r and s

     

(3)

Magnification in the mirror, m=-vu

m=-2v=2u

As v and u have same signs so the mirror is concave and the image formed is real.

m=-12v=u2Concave mirror and real image.

m=+2v=-2u

As v and u have different signs but magnification is 2 so the mirror is concave and the image formed is virtual.

           m=+12v=-u2

As v and u have different signs with magnification (12), so the mirror is convex and the image formed is virtual.