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What is the solution of the equation 2^{x}+5^{x}-3^{x}-4^{x}=0?

2+2=

What is the chemical formula of benzene?

What is solid States?

What is the Chemical formula for Benzene?

Which of the following features is not present in Periplaneta americana?

Option: 1

Schizocoelom as body cavity


Option: 2

Indeterminate and radial cleavage during embryonic development


Option: 3

Exoskeleton composed of N-acetylglucosamine


Option: 4

Metamerically segmented body


A 250-Turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85 \muA and subjected to a magnetic field of strength 0.85 T. Work done for rotating the coil by 180° against the torque is:

Option: 1

9.1\mu \,\text{J}


Option: 2

4.55\mu \,\text{J}


Option: 3

2.3\mu \,\text{J}


Option: 4

1.15\mu \,\text{J}


If \theta1 and \theta2 be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip \theta is given by :

Option: 1

cot2\theta = cot2\theta1 + cot2\theta2


Option: 2

tan2\theta = tan2\theta1 + tan2\theta2


Option: 3

cot2\theta = cot2\theta1 - cot2\theta2


Option: 4

tan2\theta = tan2\theta1 - tan2\theta2


Which one of the following is incorrect for ideal solution?

Option: 1

\Delta H_{\text{mix}} = 0


Option: 2

\Delta U_{\text{mix}} = 0


Option: 3

\Delta P = P_{\text{obs}} - P_{\text{calculated by Raoult's law}} = 0


Option: 4

\Delta G_{\text{mix}} = 0


The second stage of hydrosere is occupied by plants like:

Option: 1

Typha


Option: 2

Salix


Option: 3

Vallisneria


Option: 4

Azolla


Consumption of which one of the following foods can prevent the kind of blindness associated with vitamin 'A' deficiency?

Option: 1

Flaver Savr' tomato


Option: 2

Canolla


Option: 3

Golden rice


Option: 4

Bt-Brinjal


Which of the following are likely to be present in deep sea water?

Option: 1

Saprophytic fungi


Option: 2

Archaebacteria


Option: 3

Eubacteria


Option: 4

Blue-green algae


DNA fragments generated by the restriction endonucleases in a chemical reaction can be separated by:

Option: 1

Restriction mapping


Option: 2

Centrifugation


Option: 3

Polymerase chain reaction


Option: 4

Electrophoresis


A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m2 is suspended: The coefficient of kinetic friction between the block and the table is \mu_k. When the block A is sliding on the table, the tension in the string is:

Option: 1

\frac{(m_2+\mu\:k\: m_1)g}{m_1+m_2}


Option: 2

\frac{m_{1}m_{2}(1+\mu_{k})g}{m_{1}+m_{2}}


Option: 3

\frac{m_1m_2(1-\mu_k)g}{m_1+m_2}


Option: 4

\frac{(m_{2}+\mu_{k}m_{1})g}{m_{1}+m_{2}}


Which of the following viruses is not transferred through semen of an infected male ?

Option: 1

Chikungunya virus


Option: 2

Ebola virus


Option: 3

Hepatitis B virus


Option: 4

Human immunodeficiency virus


Which of the following joints would allow no movement ?

Option: 1

Cartilaginous joint


Option: 2

Synovial joint


Option: 3

Ball and Socket joint


Option: 4

Fibrous joint


A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. The induced emf in the loop when the radius is 2 cm is:

Option: 1

4.8 \pi \muV


Option: 2

0.8 \pi \muV


Option: 3

1.6 \pi \muV


Option: 4

3.2 \pi \muV


The floral formula  is that of:

Option: 1

Soybean


Option: 2

Sunnhemp


Option: 3

Tobacco


Option: 4

Tulip


If the bond energies of H-H, Br-Br and H-Br are 433, 192 and 364 kJ mol^{-1} respectively, the \Delta H\degree for the reaction

H_{2\left ( g \right )}+Br_{2\left ( g \right )}\rightarrow 2HBr\left ( g \right )\, \, is

Option: 1

-261 kJ


Option: 2

+103 kJ


Option: 3

+261 kJ


Option: 4

-103 kJ


Which one of the following techniques is safest for the detection of cancers?

Option: 1

Magnetic resonance imaging (MRI)


Option: 2

Radiography (X-ray)


Option: 3

Computed tomography (CT)


Option: 4

Histopathological studies


Membrane-bound organelles are absent in

Option: 1

Plasmodium


Option: 2

Saccharomyces


Option: 3

Streptococcus


Option: 4

Chlamydomonas


The one aspect which is not a salient feature of genetic code, is its being

Option: 1

Specific


Option: 2

Degenerate


Option: 3

Ambiguous


Option: 4

Universal


If for some reason our goblet cells are non-functional, this will adversely affect

Option: 1

Smooth movement of food down the intestine


Option: 2

Production of somatostatin


Option: 3

Secretion of sebum from the sebaceous glands


Option: 4

Maturation of sperms


Restriction endonucleases are enzymes which

Option: 1

Remove nucleotides from the ends of the DNA molecule


Option: 2

Make cuts at specific positions within the DNA molecule


Option: 3

Recognize a specific nucleotide sequence for binding of DNA ligase


Option: 4

Restrict the action of the enzyme DNA polymerase


A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at \frac{\text{a}}{2} distance from the centre, will be

Option: 1

\frac{4\text{GM}}{\text{a}}


Option: 2

\frac{\text{GM}}{\text{a}}


Option: 3

\frac{2\text{GM}}{\text{a}}


Option: 4

\frac{3\text{GM}}{\text{a}}


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