The power of a convex lens of focal length 50 cm is:
- A.+0.5 dioptre
- B.+2 dioptre
- C.-2 dioptre
- D.+50 dioptre
Correct answer
Explanation
The correct answer is B, plus 2 dioptres. The power of a lens is the reciprocal of its focal length expressed in metres, that is P equals 1 divided by f. Fifty centimetres is 0.5 metre, and the reciprocal of 0.5 is 2, so the power is two dioptres. The lens is convex and therefore converging, so the power carries a positive sign. Power measures how strongly a lens bends light, so a short focal length means a powerful lens.
Option A takes the focal length in metres as the answer instead of its reciprocal. Option C gives the right number with the wrong sign, which would describe a concave lens. Option D uses the focal length in centimetres in the formula, which is the commonest mistake in this calculation.
Read the full article: Light: Reflection and Refraction Notes with PYQs
Practice Questions
View allA ray of light travelling from a rarer medium to a denser medium:
- A.slows down and bends away from the normal
- B.slows down and bends towards the normal
- C.speeds up and bends away from the normal
- D.speeds up and bends towards the normal
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A denser medium has a higher refractive index, and the refractive index is the speed of light in vacuum divided by its speed in the medium, so light must travel more slowly inside it.
Read the full explanation →A concave lens has a focal length of 15 cm. If the object is placed at 30 cm from the lens, what is the image distance?
- A.-20 cm
- B.-10 cm
- C.-15 cm
- D.-18 cm
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By the sign convention the focal length of a concave lens is negative, so f is minus 15 centimetres, and the object distance measured against the direction of the incident light is minus 30 centimetres.
Read the full explanation →Name the scientist who first used a glass prism to obtain the spectrum of sunlight.
- A.C. V. Raman
- B.Lord Rayleigh
- C.Isaac Newton
- D.S. Chandrasekhar
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Newton passed a narrow beam of sunlight through a glass prism in a darkened room and obtained a band of seven colours on the wall, which he named the spectrum.
Read the full explanation →The image formed by a plane mirror is always:
- A.Real, inverted and of the same size
- B.Virtual, erect and of the same size
- C.Virtual, erect and diminished
- D.Real, erect and magnified
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Rays reflected from a plane mirror diverge and only appear to come from a point behind the mirror, so the image cannot be caught on a screen and is virtual.
Read the full explanation →Which type of mirror is used as a rear-view mirror in vehicles?
- A.Plane mirror
- B.Concave mirror
- C.Convex mirror
- D.Cylindrical mirror
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A convex mirror curves outward and spreads the light that falls on it, so it always forms a virtual, erect and diminished image, whatever the distance of the object.
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