A telescope has an objective lens of focal length \(150~\text{cm}\) and an eyepiece of focal length \(5~\text{cm}.\) If a \(50~\text{m}\) tall tower at a distance of \(1~\text{km}\) is observed through this telescope in a normal setting, the angle formed by the image of the tower is \(\theta,\) and \(\theta\) is close to:
1. \(15^\circ\)
2. \(60^\circ\)
3. \(30^\circ\)
4. \(18^\circ\)
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An observer looks at a distant tree of height \(10~\text{m}\) with a telescope of magnifying power of \(20\). To the observer, the tree appears:

1. \(10\) times taller
2. \(10\) times nearer
3. \(20\) times taller
4. \(20\) times nearer
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A compound microscope consists of an objective lens of focal length \(1~\text{cm}\) and an eye piece of focal length \(5~\text{cm}\) with a separation of \(10~\text{cm}\). The distance between an object and the objective lens, at which the strain on the eye is minimum is \(\frac{n}{40}~\text{cm}\). The value of \(n\) is:
1. \(100\)
2. \(50\)
3. \(25\)
4. \(10\)

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In normal adjustment, for a refracting telescope, the distance between the objective and eyepiece is \(30\) cm. The focal length of the objective, when the angular magnification of the telescope is \(2,\) will be:
1. \(20\) cm
2. \(30\) cm
3. \(10\) cm
4. \(15\) cm
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Two different lenses are used in telescope because:
1. Magnification is increased
2. Focal length is increased
3. More light is captured
4. Spherical aberration is increased
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A telescope has a tube length of \(60 ~\text{cm}\) and a magnifying power of \(5 .\) What is the focal length of its eyepiece?
1. \(40 ~\text{cm}\) 2. \(10 ~\text{cm}\)
3. \(20 ~\text{cm}\) 4. \(30 ~\text{cm}\)
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Two stars are \(10\) light years away from the Earth. They are seen through a telescope of objective diameter \(30~\text{cm.}\) The wavelength of light \(600~\text{nm}.\) To see the stars just resolved by the telescope, the minimum distance between them should be (\(1\) light year \(= 9.46 × 10^{15}~\text{m}\) ) the order of:
1. \(10^8~\text{km}\)
2. \(10^6~\text{km}\)
3. \(10^{11}~\text{km}\)
4. \(10^{10}~\text{km}\)
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