# National Standard Examination in Astronomy (NSEA) Solved Paper 2016 Part-13

Q: 43. A lens is held directly above a pencil lying on a floor and forms an image of it. On moving the lens vertically through a distance equal to its focal length, it again forms image of same size as that of the previous image. If the length of the pencil is 5.0 cm, the length of the image is

(A) 10.0 cm

(B) 15.0 cm

(C) 20.0 cm

(D) 12.5 cm

Q: 44. If

(A)

(B)

(C)

(D)

Q: 45. A balloon less dense than air is tied at the floor of a truck with a massless, inextensible and flexible string. The truck is observed to be taking a left turn. Select correct statement.

(A) The string will incline towards right (outward, w.r.t person in the truck)

(B) The string will incline towards left (inward, w.r.t person in the truck)

(C) The string will still be vertical as the balloon is less dense than air

(D) Buoyant force on the balloon is equal to weight of the balloon

Q: 46. A function F from A to B is

(A) Relation F with (a, b), (c, b) ∈ F⇒ a=c

(B) F A × B

(C) Relation F with (a, b), (c, b) ∈ F⇒ b = c

(D) Relation F with (a, b), (b, c) ∈ F ⇒ (a, c) ∈ F

Q: 47. An ice cube with a steel ball bearing trapped inside it is floating above water in a glass. What will happen to the water level in the glass after the ice melts completely?

(A) Rise

(B) Fall

(C) will not change

(D) Answer depends upon actual position of the

Q: 48. Which of the following is a mathematically acceptable statement?

(A) It is an even number

(B) 13th December is Saturday

(C) Common donkey belongs to class arthropoda

(D) Alexander was a great king