1.

A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is theta, then theta is close to :

Answer»

`1^(@)`
`15^(@)`
`30^(@)`
`60^(@)`

SOLUTION :Angular magnification, `m=(f_(n))/(f_(e))=(150)/(5)=30`
Let the angle formed by tower be `ALPHA`
`tan alpha=(50M)/(1km)=(50)/(1000)=(1)/(20)`
`alpha=(2.86)^(@)`
Let the angle formed by image be `beta`
`tan beta=m tan alpha`
`=30xx(1)/(20)`
`tan beta=1.5`
`beta=56.31~~57^(@)`
Which is closest to `60^(@)`.


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