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A biconvex lens \((\mu=1.5)\) has a radius of curvature of magnitude \(20~\text{cm}\). Which one of the following options, best describes, the image formed by an object of height \(2\) cm placed \(30~\text{cm}\) from the lens?

1.	virtual, upright, height \(=0.5\) cm
2.	real, inverted, height \(=4\) cm
3.	real, inverted, height \(=1\) cm
4.	virtual, upright, height \(=1\) cm

Subtopic: Lenses | Lens Makers' Formula | Refraction at Curved Surface |

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A point object \((A)\) is placed on the principal axis of a convex lens (focal length = \(30\) cm) at a distance of \(45\) cm from it. The image is formed at position \(B.\) If the object \(A\) is moved up by \(1\) cm then the image moves:

1. down by \(1\) cm
2. down by \(2\) cm
3. up by \(1\) cm
4. up by \(2\) cm

Subtopic: Lenses |

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A parallel beam of width \(20\) mm is incident onto a lens and the width of the emerging beam decreases at a rate of \(1\) mm as it travels every \(3\) cm. The lens has a focal length of:

1.	\(30\) cm	2.	\(60\) cm
3.	\(\dfrac{20}3\) cm	4.	\(\dfrac{40}{3}\) cm

Subtopic: Lenses |

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A biconvex lens has radii of curvature, \(20~\text{cm}\) each. If the refractive index of the material of the lens is \(1.5,\) the power of the lens is:

1.	infinity	2.	\(+2~\text{D}\)
3.	\(+20 ~\text{D}\)	4.	\(+5~\text{D}\)

Subtopic: Lenses |

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A concave lens of focal length \(-25\) cm is sandwiched between two convex lenses, each of focal length, \(40\) cm. The power in dioptre of the combined lens would be:

1.	\(55\)	2.	\(9\)
3.	\(1\)	4.	\(0.01\)

Subtopic: Lenses |

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