What would be the effective mass of a photon, if the frequencies of radiation is \(6 \times 10^{14} Hz\) ?

In the decay chain given below the sequential order in which the radioactive radiations are emitted will be :
\(^{A}_{Z}X \to ^{A}_{Z+1}Y \to ^{A-4}_{Z-1}P^* \to ^{A-4}_{Z-1}P\)

A series LCR circuit is connected to a variable frequency 230 V source. \( L = 5\text{H}, C = 80 \mu\text{F} \) & \( R = 40 \, \Omega \). The potential drop across R at resonating frequency is :

A cell of emf 10 V and the internal resistance 1 \( \Omega \) is being charged by an external supply of 100 V. An external resistance of 8 \( \Omega \) is connected to the charging circuit. The current in the circuit is

Which of the following statements about electromagnetic waves is/are correct?
A. Visible Light can be polarised but X-rays cannot.
B. X-rays in vacuum travel faster than visible light waves in vacuum.
C. The energy of X-ray photon is greater than that of a visible light photon.
D. Radio waves are produced by the accelerated motion of charges in conducting wires.
E. An electric dipole is a basic source of electromagnetic waves.
Choose the correct answer from the options given below:

A thick long straight wire of radius 'a' is carrying steady current I. The current I is uniformly distributed across the cross-section. The ratio of magnetic fields at a distance a/2 and 3a/2 from the central axis of the wire is

An object is placed at a distance of 5 cm beyond focus on the principal axis of a convex lens. The image is formed at a distance of \( 3f \) on the other side of the lens. The value of \( f \) is :

Which of the following are the properties of Normal Distribution function f(x) and Normal probability curve:
(A) The probability of success remains the same in each trial and the number of trials is small in number.
(B) The curve is bell shaped and is symmetrical about the mean.
(C) If set of n trials are repeated N times, then frequency f(r) of r successes is given by
f(r) = N.P(r) = \(N e^{-m} \frac{m^r}{r!}\), r = 0, 1, 2...
(D) As x increases numerically, f(x) decreases rapidly and the maximum value of f(x) occurs at x = μ(mean).
Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Propionibacterium sharmanii is used for the production of -

If a person \(A\) speaks the truth in \(80 \%\) cases and the person \(B\) speaks the truth in \(75 \%\) cases, then the probability that they contradict each other in a statement is:

A first order reaction requires 6.96 months for the concentration of reactant A to be reduced to 25% of its original value. The half-life of the reaction is:
(Given \(\text{log } 2 = 0.3010\))

Interstitial transition metal compounds
(A) have higher melting points than those of pure metals.
(B) have more reactivity than those of pure metals.
(C) are non-stoichiometric compounds.
(D) formed when small atoms like H, C or N are trapped inside the crystal lattice of the metals.
Choose the correct answer from the options given below:

Which one of the following is a false fruit?