Bulb B1 is a 50 W bulb working on 100 V and Bulb B2 is a 200 W bulb also working on 100 V. The ratio of resistances of bulbs B1 to B2 is:

Choose the correct statements from the following:
A. Induced emf opposes any change in the current in a circuit
B. Induced emf in a closed coil can be increased by increasing the number of turns in the coil
C. Varying current in a coil can not induce emf in a neighbouring coil.
D. An LCR circuit has zero impedance at resonant frequency
E. Average power supplied to an inductor over one complete cycle is zero
Choose the correct answer from the options given below:

The charge flowing in a conductor varies with time as \(q(t) = (8t^2 - 4t + 5)C\). Then the current changes at the rate of :

Match List I with List - II.

List-I	List-II
(A) Radio waves	(I) 1 mm to 700 nm
(B) Infrared waves	(II) 700 nm to 400 nm
(C) Light waves	(III) 1 nm to \(10^{-3} nm\)
(D) X-rays	(IV) > 0.1 m

Choose the correct answer from the options given below :

A 25 cm long solenoid with 100 turns carries a current of 3 A. The flux density at the center of the solenoid is

The electric field component of an electromagnetic wave in vacuum is \( \vec{E} = 3 \cos(1.8y + 5.4 \times 10^8 t) \, \text{N/C} \), where y is in meter and t is in seconds. The frequency of the wave is (approximately)

The correct relation between the transistor parameters \(\alpha\) and \(\beta\) is -

The critical angle for light ray going from medium-1 to medium-2 is \(i_c\). What will be the speed of light in medium-2, if its value in medium-1 is \(u\) ?

The dehydration of alcohol follows the order :

A proton, an electron, a neutron and an alpha particle have the same energy. Their de Broglie's wavelengths are given below:
(A) \( \lambda_{proton} \)
(B) \( \lambda_{electron} \)
(C) \( \lambda_{neutron} \)
(D) \( \lambda_{alpha} \)
Arrange these wavelengths in decreasing order. Choose the correct answer from the options given below:

Which of the following is incorrect with reference to drug abuse?

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 -

Match List-I with List-II

List-I (Drugs)	List-II (Sources/features)
(A) Alcohol	(I) Sedative and painkiller
(B) Crack	(II) Diacetylmorphine
(C) Morphine	(III) Liver cirrhosis
(D) Smack	(IV) Erythroxylum coca

Choose the correct answer from the options given below: