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The electric field of a plane electromagnetic wave varies with time of amplitude 2 V m−1 propagating along z-axis. The average energy density of the magnetic field is ( in Jm−3) :
Three thermally radiating carbon black coated discs A,B and C with radii 2 m,4 m and 6 m have maximum intensity wavelengths 300 nm,400 nm and 500 nm, respectively. If the powers radiated by them are QA,QB and QC, respectively, then:
Two small charged spheres A and B have charges 10μC and 40μC, respectively, and are held at a separation of 90 cm from each other. At what distance from A would the electric intensity be zero?
The rest mass of the photon is:
The magnetic flux ϕ (in weber) linked with a coil of resistance 10Ω varies with time t (in second) as ϕ = 8t2 − 4t + 1. The current induced in the coil at t = 0.1sec is:
In a compound microscope, the objective and the eyepiece have focal lengths of 5 cm and 9.5 cm, respectively, and both are kept at a distance of 20 cm. If the final image is formed at the least distance of 25 cm from the eyepiece, find the total magnification.
The momentum of a body is 850.00 kg m/sec and its mass is 40.00 kg. Find its kinetic energy.
In hydrogen atom, the electron makes 6.6 × 1015 revolutions per second around the nucleus in an orbit of radius 0.5 × 10−10 m. It is equivalent to a current nearly:
The Young's modulus of the material of a wire is 6 × 1012 N/m2 and there is no transverse in it, then its modulus of rigidity will be:
If the electrical conductivity of a semiconductor increases when electromagnetic radiation of a wavelength shorter than 2480 nm is incident on it. What is the band gap (in eV) for the semiconductor?
A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is:
In an electromagnetic wave, the magnitude of electric and magnetic fields are 100 V/m and 0.265 A/m. The maximum energy flow is:
The magnetic field of an electromagnetic wave is given by, By = (3 × 10−7 T) sin (103x + 6.29 × 1012t)
Where x,t are in S.I. units. The wavelength of the electromagnetic wave is:
A source emitting wavelengths 480 nm and 600 nm is used in Young's Double Slit Experiment. The separation between the slits is 0.25 mm. The interference is observed 1.5 m away from the slits. The linear separation between the first maxima of the two wavelengths is:
A body of 5 kg is moving with a velocity of 20 m/sec. If a force of 100 N is applied on it for 10 sec in the same direction as its velocity, what will now be the velocity of the body?
The complex that has highest crystal field splitting energy (Δ), is :
Which one given below is a non-reducing sugar?
The commercial name of polyacrylonitrile is:
Which of the following is the energy of a possible excited state of hydrogen?
For the reaction,
Which one is correct?
Blood contains:
According to Fajan's rule, which of the following ions shows the greatest polarising power?
Polysubstitution is the drawback of which reaction?
Classical smog occurs in places of:
Which of the following hormones is produced under the conditions of stress which stimulate glycogenolysis in the liver of human beings?
The elements with atomic numbers 117 and 120 are yet to be discovered. In which group would you place these elements when discovered?
Positive Beilstein shows that:
What voltage is produced under standard conditions by combining the half-reaction with these standard electrode potentials?
The gas A2 in the left flask is allowed to react with the gas B2 present in the right flask as (g);Kc = 4 at 27∘C.A2( g) + B2( g) ⇌ 2AB. What is the concentration of AB when the equilibrium is established?
The probability that a contractor gets a plumbing contract is 2/3 and the probability that he will not get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, then the probability that he will get both the contracts is:
The least positive integer n for which = 1 is:
For a hyperbola then equation of directrix is:
Let f : N → Y be a function defined as f(x) = 4x + 3, where Y = {y ∈ N : y = 4x + 3, for some x ∈ N}. Show that f is invertible and its inverse is
If the mean of a set of observations x1,x2,x3,…,x10 is 50 , then the mean of x1 + 5,x2 + 10,x3 + 15,…,x10 + 50 is:
Find the sum to n terms of the A.P., whose nth term is 5n + 1
A straight line through P(1,2) is such that its intercept between the axes is bisected at P. Its equation is:
The coefficient of x5 in the expansion of (1 + x)21 + (1 + x)22 + ……… + (1 + x)30 is _________.
A young infant may be feeding entirely on mother's milk which is white in colour but the stools which the infant passes out are quite yellowish. The yellow colour of stool is due to:
The most common substrate used in distilleries for the production of ethanol is:
Photosensitive receptors in plants that sense blue light are called ___________.
One of the very first steps of taxonomy is:
Middle lamella is mainly composed of:
The mass of living material at a trophic level at a particular time is called:
Which of the following techniques is used to transfer early embryo into the fallopian tube?
F2 generation in a Mendelian cross showed that both genotypic and phenotypic ratio are same as 1 : 2 : 1. It represents a case of:
Four long and two short stamens are found in:
In water-logged soil, plants do not grow properly because:
Select the correct sequence of steps in DNA fingerprinting involving southern blot hybridization using VNTR.
i. Hybridization using labelled VNTR probe
ii. Isolation of DNA
iii. Transferring (blotting) of DNA fragments to synthetic membranes, such as nitrocellulose or nylon
iv. Detection of hybridized DNA fragments by autoradiograph
v. Separation of DNA fragments by electrophoresis
vi. Digestion of DNA by restriction endonucleases
Which of the following element is needed for insulin to exert its maximal effect in glucose uptake?
Which one of the following microorganisms is used for the production of citric acid in industries?
Which organelle acts as a pressure vessel?
Which of the following terms imply 'the human impact on the environment'?