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solution of diffrential equation dy/dx = (x+y) \cot x+ \csc x -1 is

For a sample of perfect gas when its pressure is changed isothermally from P_i\ to\ P_f, the entropy change is given by:

Option: 1

\Delta S=nRln\frac{P_f}{P_i}


Option: 2

\Delta S=nRln\frac{P_i}{P_f}


Option: 3

\Delta S=nRTln\frac{P_f}{P_i}


Option: 4

\Delta S=RTln\frac{P_i}{P_f}


Phytochrome is a

Option: 1

flavoprotein


Option: 2

glycoprotein


Option: 3

lipoprotein


Option: 4

chromoprotein


Consider the following liquid-vapour equilibrium

liquid \rightleftharpoons vapour

Which of the following relations are correct?

Option: 1

\frac{dlnG}{dT^{2}}\: =\: \frac{\Delta H_{v}}{RT^{2}}


Option: 2

\frac{dlnP}{dT}=\frac{\Delta H_{v}}{RT}


Option: 3

\frac{dlnP}{dT^{2}}=\frac{-\Delta H_{v}}{T^{2}}


Option: 4

\frac{dlnP}{dT} = \frac{-\Delta H_{v}}{RT^{2}}


A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Option: 1

25 m/s2


Option: 2

0.25 rad/s2


Option: 3

25 rad/s2


Option: 4

5 m/s2


A rectangular film of liquid is extended from \left( {4{\rm cm} \times 2{\rm cm}} \right) to \left( {5{\rm cm} \times 4{\rm cm}} \right). If the work done is 3 \times 10^{ - 4} {\rm J}, the value of the surface tension of the liquid is

Option: 1

0.250 N m-1


Option: 2

0.125 N m-1


Option: 3

0.2 N m-1


Option: 4

8.0 N m-1


Identify the wrong statement in the following :

Option: 1

Amongst isoelectronic species, smaller the positive charge on the cation, smaller is the ionic radius.


Option: 2

Amongst isoelectronic species, greater the negative charge on the anion, larger is the ionic radius.


Option: 3

Atomic radius of the elements increases as one moves down the first group of the periodic table.


Option: 4

Atomic radius of the elements decreases as one moves across from left to right in the 2nd period of the periodic table.


Some meta-directing substituents in aromatic substitution are given. Which one is most deactivating?

Option: 1

-SO_{3}H


Option: 2

-COOH


Option: 3

-NO_{2}


Option: 4

-C\equiv N


The terga, sterna and pleura of cockroach body are joined by:

Option: 1

Arthrodial membrane


Option: 2

Cartilage


Option: 3

Cementing glue


Option: 4

Muscular tissue


Keel is the characteristic feature of the flower of:    

Option: 1

    Aloe


Option: 2

Tomato


Option: 3

Tulip


Option: 4

Indigofera


A galvanometer having a coil resistance of 60 \Omega shows full scale deflection when a current of 1.0 amp passes through it. It can be converted into an ammeter to read currents upto 5.0 amp by:

Option: 1

putting in series a resistance of 15 \Omega


Option: 2

putting in series a resistance of 240 \Omega


Option: 3

putting in parallel a resistance of 15 \Omega


Option: 4

putting in parallel a resistance of 240 \Omega


If a live earthworm is pricked with a needle on its outer surface without damaging its gut, the fluid that comes out is:

Option: 1

coelomic fluid


Option: 2

haemolymph


Option: 3

slimy mucus


Option: 4

excretory fluid


Mannitol is the stored food in:

Option: 1

Porphyra


Option: 2

Fucus


Option: 3

Gracillaria


Option: 4

Chara


Chipko movement was launched for the protection of:

Option: 1

Forests


Option: 2

Livestock


Option: 3

Wet lands


Option: 4

Grasslands


H2COH • CH2OH on heating with periodic acid gives:

Option: 1

2 HCOOH


Option: 2


Option: 3


Option: 4

2 CO2


Aerobic respiratory pathway is appropriately termed:

Option: 1

Parabolic


Option: 2

Amphibolic


Option: 3

Anabolic


Option: 4

Catabolic


Given below is the diagram of a bacteriophage. In which one of the options all the four parts A, B, C and D are correct?

 

A B C D

 

Option: 1

Tail fibres

 Head Sheath

Collar

 


Option: 2

Sheath

 Collar Head

Tail fibres

 


Option: 3

Head

 Sheath Collar

Tail fibres

 


Option: 4

Collar

 Tail fibres Head

Sheath

 


Which of the following reactions will not result in the formation of carbon-carbon bonds?

Option: 1

Friedel-Craft's acylation


Option: 2

Reimer-Tieman reaction


Option: 3

Cannizzaro reaction


Option: 4

Wurtz reaction


The signals for parturition originate from:

Option: 1

Fully developed foetus only


Option: 2

Placenta only


Option: 3

Placenta as well as fully developed foetus


Option: 4

Oxytocin released from maternal pituitary


The kind of epithelium which forms the inner walls of blood vessels is

Option: 1

cuboidal epithelium


Option: 2

columnar epithelium


Option: 3

ciliated columnar epithelium


Option: 4

squamous epithelium


Which one of the following is not considered as a part of the endomembrane system?

Option: 1

Vacuole


Option: 2

Lysosome


Option: 3

Golgi complex


Option: 4

Peroxisome


Consider the following four statements whether they are correct or wrong?

  1. The sporophyte in liverworts is more elaborate than that in mosses
  2. Salvinia is heterosporous
  3. The life-cycle in all seed bearing plants is diplontic
  4. In Pinus male and female cones are borne on different trees.The two wrong statements together are

 

Option: 1

Statements (B) and (C)


Option: 2

Statements (A) and (B)


Option: 3

Statements (A) and (C)


Option: 4

Statements (A) and (D)


Both, hydrarch and xerarch successions lead to

Option: 1

Highly dry conditions


Option: 2

Excessive wet conditions


Option: 3

Medium water conditions


Option: 4

Xeric conditions


In the circuit shown in the figure, if the potential at point A is taken to be zero, the potential at point B is

 

Option: 1

-2V


Option: 2

+1V


Option: 3

-1 V


Option: 4

+2 V


Which of the following statements is incorrect?

Option: 1

Aluminium reacts with excess NaOH to give Al(OH)_{3}


Option: 2

NaHCO_{3} on heating gives Na_{2}CO_{3}


Option: 3

Pure sodium metal dissolves in liquid ammonia to give blue solution


Option: 4

NaOH reacts with glass to give sodium silicate.


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