If P(x) be a polynomial with real coefficients such that P(sin² x) = P(cos² x), for all x ∈ [0, π/2]. Consider the following statements :

I.  P(x) is an even function.

II.  P(x) can be expressed as a polynomial in (2x– 1)² 

I.  P(x) is a polynomial of even degree

Then.

(A)   all are false

(B)   only I and II are true

(C)  only II and III are true 

(D)  all are true 

Correct graph of experimental values of specific heat of a constant volume of hydrogen gas is

Following the cell cycle scheme given below, what is the probability that a cell would be in M-phase at any given time ?

(A)  1/24

(B) 1/12

(C)  1/6

(D)  1/2 

How many different proteins consisting of 100 amino acids can be formed from 20 different amino acids ?

(A)  20¹⁰⁰ 

 (B)   100²⁰ 

(C)   2²⁰ 

(D)   20 x 100 

During meiosis, there is

(a) one round of DNA replication and one division

(b) two rounds of DNA replication and one division

(c) two rounds of DNA replication and two divisions

(d) one round of DNA replication and two divisions

The Arrhenius plots of two reactions, I and II are shown graphically –

The graph suggests that –

(A)   EI > EII and AI > AII

(B)   EII > EI and AII > AI

(C)   EI > EII and AII > AI

(D)  EII > EI and AI > AII

Gaseous exchange of oxygen and carbon dioxide between alveolar air and capillaries takes place by

(a) active transport

(b) diffusion

(c) carrier-mediated transport

(d) imbibition

Among the elements Li, N, C and Be, one with the largest atomic radius is

(a) Li

(b) N

(c) C

(d) Be

A pathogen which cannot be cultured in an artificial medium is

(a) protozoan

(b) virus

(c) bacterium

(d) fungus

In human brain, the sensation of touch, pain and temperature is controlled by the

(a) parietal lobe of cerebrum

(b) limbic lobe of cerebrum

(c) temporal lobe of cerebrum

(d) frontal lobe of cerebrum