Consider two identical copper spheres A and B. One is placed over a thermally insulating plate, while the other hangs from an insulating thread.

Equal amounts of heat are given to the two spheres and temperatures are recorded, then

(a) T_A = T_B  

(b) T_B < T_A  

(c) T_B > T_A  

(d) cannot be concluded

Let S = {x ∈ R : cos(x) + cos ( √2 x) < 2}. Then 

(A) S = ϕ 

(B) S is a non-empty finite set 

(C) S is an infinite proper subset of R\{0} 

(D) S = R\{0} 

In his seminal work on genetics, Gregor Mendel described the physical traits in the pea plant as being controlled by two ‘factors’. What term is used to define these factors today?

(a) Chromosomes

(b) Genes

(c) Alleles

(d) Hybrids

Excess salt inhibits bacterial growth in pickles by

(a) endosmosis

(b) exosmosis

(c) oxidation

(d) denaturation

The principle upon which a lactometer works is

(a) viscosity

(b) density

(c) surface tension

(d) presence of protein

Let t_n denote the number of integral sided triangle with distinct sides chosen from {1, 2, 3 ———n). Then t₂₀ – t₁₀ equals 

(A) 81 

(B) 153 

(C) 163 

(D) 173 

Deficiency of which one of the following vitamins can cause impaired blood clotting?

(a) Vitamin-B

(b) Vitamin-C

(c) Vitamin-D

(d) Vitamin-K

The pair in which the first compound is ionic and the second compound is covalent, is

(a) Fe(OH)₂, CH₃OH

(b) Fe(OH)₂, Cu(OH)₂

(c) CH₃OH, CH₃CH₂OH

(d) Ca(OH)₂, Cu(OH)₂

Which of the following guards the opening of hepatopancreatic duct into the duodenum? 

(a) Ileocaecal valve 

(b) Pyloric sphincter 

(c) Sphincter of Oddi 

(d) Semilunar valve

What is the maximum number of orbitals that can be identified with the following quantum numbers?

n = 3, l = 1 and m_l = 0

(a) 1

(b) 2

(c) 3

(d) 4