An astronomical telescope has an objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance :
1. 46.0 cm
2. 0.0 cm
3. 54.0 cm
4. 37.3 cm
2. 0.0 cm
3. 54.0 cm
4. 37.3 cm
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a and c; B 
a and d; C 
a and b; D 
c and d
a and d; B 
b and c; C 
b and d; D 
b and c
c and d; B 
b and d; C 
b and c; D 
a and d
b and c; B 
b and c; C 
b and d; D 
a and d
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2. -25 cm
3. -50 cm
4. 50 cm
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2. 180° - 2A
3. 90° - A
4. 180° + 2A
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If the focal length of the objective lens is increased, then magnifying power of:
| 1. | microscope will increase but that of telescope decrease |
| 2. | microscope and telescope both will increase |
| 3. | microscope and telescope both will decrease |
| 4. | microscope will decrease but that of the telescope will increase |
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The angle of a prism is 'A'. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index μ, of the prism, is :
1. 2sin A
2. 2cosA
3. cos A
4. tan A
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2. 1.67 cm
3. 1.5 cm
4. 5 cm
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When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. The liquid must have a refractive index
1. equal to that of glass
2. less than one
3. greater than that of glass
4. less than that of glass
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