# National Standard Examination in Astronomy (NSEA) Solved Paper 2016 Part-6

Q: 15. Adjacent figure shows a block A, held by a spring balance D and submerged into a liquid in a beaker. The beaker is kept on a weighing balance E. Mass of the beaker plus the liquid is 2.5 kg. Balance D reads 2.5 kg and E reads 7.5 kg. Volume of the block is 0.003 Consider the following statements. Block a, Submerged into a Liquid Figure shows a block A, held by a spring balance D and submerged into a liquid in a beaker

(i) The density of the liquid is 5000/3

(ii) The mass of block A is 7.5 kg

(iii) The buoyant force is 5 kg wt

(iv) If half the volume of the block is pulled out of the liquid, E would read 5 kg Select correct options(S)

(A) (i), (iii) and (iv)

(B) (i), (ii) and (iv)

(C) (i) and (iv)

(D) (i), (ii), (iii) and (iv)

Q: 16 AM-HM inequality for position real numbers a, b, c states that . If a, b are positive irrational numbers then.

(A)

(2)

(3)

(D)

Q: 17. The optical effects (phenomena) involved when we see a rainbow could be associated with

(i) Internal reflection

(ii) Dispersion

(iii) Total internal reflection

(iv) Deviation

Select the correct options

(A) (ii), (iii) and (iv)

(B) (i), (ii) and (iv)

(C) (i) and (iv)

(D) (iii) and (iv)