An object placed in front of a concave mirror of a focal length \(15~\text{cm}\) produces a virtual image which is twice the size of the object. The position of the object is:
1. \(\text{-}5.5~\text{cm}\)
2. \(\text{-}6.5~\text{cm}\)
3. \(\text{-}7.5~\text{cm}\)
4. \(8.5~\text{cm}\)
Subtopic:  Reflection at Spherical Surface |
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In a convex mirror having a radius of curvature \(30~\text{cm}\) the height of the image is half the object height. What will be the object (in \(\text{cm}\)) distance?
1. \(15~\text{cm}\)
2. \(25~\text{cm}\)
3. \(35~\text{cm}\)
4. \(30~\text{cm}\)
Subtopic:  Reflection at Spherical Surface |
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A mobile phone lies along the principal axis of a concave mirror, as shown in the figure. Then,

  
 

1. the magnification is not uniform due to the length of the object along the principal axis.
2. the distortion of the image depends on the location of the phone with respect to the mirror.
3. both (1) and (2)
4. none of these

Subtopic:  Reflection at Spherical Surface |
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A convex mirror of focal length \(20~\text{cm}\) forms an image that is a quarter of the object's size. The distance of the object from the mirror is:
1. \(50~\text{cm}\)
2. \(-60~\text{cm}\) 
3. \(-40~\text{cm}\) 
4. \(-70~\text{cm}\)

Subtopic:  Reflection at Spherical Surface |
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If light rays retrace its path after reflection from a concave mirror, then the object is placed:
1. at the focus of the mirror 
2. at the centre of the curvature
3. between pole and focus 
4. between focus and centre of curvature
Subtopic:  Reflection at Spherical Surface |
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A small candle, \(2.5\) cm in size is placed at \(27\) cm in front of a concave mirror of radius of curvature \(36\) cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image?

1. \(54\) cm away from the mirror
2. \(64\) cm towards the mirror
3. \(40\) cm away from the mirror
4. \(44\) cm towards the mirror

Subtopic:  Reflection at Spherical Surface |
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The relationship between the focal length, \(f\) and the radius of curvature, \(r\) of a spherical convex mirror is given by:
1. \(f=+\dfrac{1}{2}r\)
2. \(f=-r\)
3. \(f=-\dfrac{1}{2}r\)
4. \(f=r\)
Subtopic:  Reflection at Spherical Surface |
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Which of the following always forms virtual and erect images, irrespective of the real object's position?
(A) Convex lens
(B) Concave lens
(C) Convex mirror
(D) Concave mirror

Choose the correct option from the given ones:
1. (A), (B) and (C) only
2. (A) and (B) only
3. (B) and (C) only
4. (B), (C) and (D) only
Subtopic:  Reflection at Spherical Surface |
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A candle is held \(3\) cm away from a concave mirror of focal length \(12\) cm, then the nature of the image formed by the mirror is:
1. real, inverted
2. virtual, erect
3. real, erected 
4. virtual, inverted

Subtopic:  Reflection at Spherical Surface |
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The direction of ray of light incident on a concave mirror is shown by \(\mathrm{PQ}\) while directions in which the ray would travel after reflection is shown by four rays marked \(1,2,3\) and \(4\). Which of the four rays correctly shows the direction of reflected ray?
 
1. \(1\) 2. \(2\)
3. \(3\) 4. \(4\)
Subtopic:  Reflection at Spherical Surface |
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