During an experiment, a student places a candle beyond twice the focal length of a convex lens and records the image position and nature. Which of the following scenarios could result from this setup?
An inverted, real, and diminished image forms between focus and twice the focal length
For a convex lens, ray tracing shows that when the object sits beyond 2F on one side, the rays converge to form an image on the opposite side.
The image lies between F and 2F, is real because rays actually meet there, is inverted with respect to the object, and is diminished in size.
An image of the same size forms only when the object is placed exactly at 2F, not beyond it.
A virtual erect enlarged image appears only when the object is placed between the lens and F, which is not the case here.
A real image can never be erect for a single convex lens, ruling out that scenario.
Hence, the setup produces an inverted, real, diminished image between focus and twice the focal length.
Which of the following is NOT the correct use of a concave mirror?
The image formed by a concave lens for an object at infinity is:
An object is placed at a distance of 40 cm from a convex lens of focal length 10 cm, such that an image is formed at a distance of X cm from the lens. What is the value of X?
When a parallel beam of light passes through a convex lens, after refraction it:
An image is formed at a distance of 30 cm from a convex mirror when the object is placed 40 cm from the mirror. The magnification produced by the mirror will be _______.
A science fair project uses a convex mirror to monitor a hallway. If a person stands at various distances from the mirror, what remains constant about the images formed, regardless of their position?
A student observes that the image formed by a lens is twice the size of the object and is real. Where is the object placed relative to the lens?
How is the object distance measured in the sign convention for spherical lenses?
The magnification of a concave mirror is −1. Which of the following statements is correct about the position of the object?
The power of a lens is given as the reciprocal of its:
A convex lens of focal length f will form a magnified real image of an object, if the object is placed.
A ray of light travelling in the direction \(\frac{1}{2} (\hat i + \sqrt 3 \hat j)\) is incident on a plane mirror. After reflection it travels along the direction \(\frac{1}{2} (\hat i - \sqrt 3 \hat j)\) The angle of incidence is:
Twinkling of stars is due to atmospheric
An optical fibre has a core material of refractive index of 1.55 and cladding material of refractive index of 1.50. The numerical aperture of the fibre is