The figure given below shows a beam of light converging at point P. When a covex lens of focal length 16cm is introduced in the path of the beam at a place O shown by a dotted line such that OP becomes the axis of the lens, the beam converges at a distance x from the lens. The value x will be equal to:
Correct answer: D. 48/7cm
- A. 12cm
- B. 24/3cm
- C. 36/5cm
- D. 48/7cm
Explanation
When a convex lens of focal length 16cm is introduced into the path of the converging beam of light, the beam converges at a distance x from the lens. This can be calculated using the lens formula: 1/f = 1/v + 1/u, where f is the focal length of the lens, v is the image distance, and u is the object distance. By substituting the given values, we can determine that x = 48/7cm. The other options do not match this calculated result, making them incorrect.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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