An LCR series circuit consisting of resistance 45 \( \Omega \), inductive reactance 4 \( \Omega \) and capacitive reactance 4 \( \Omega \) is connected to an alternating source of emf 90 V. The readings of the ammeter connected to the circuit would be

The lateral shift produced by a glass slab during refraction through it, increases with -
(A) the increase in the thickness of the glass slab
(B) the increase in the value of the angle of incidence
(C) the increase in the value of the refractive index of the slab
(D) the increase in the length of the glass slab
Choose the correct answer from the options given below:

The given figure shows two magnetized needles and a magnet P with their magnetic moments, shown with the arrow sign. Which of the following statements are correct in respect of this configuration?

(A) \(Q_1\) is in stable equilibrium
(B) \(Q_2\) is in unstable equilibrium
(C) \(Q_1\) is in unstable equilibrium
(D) \(Q_2\) is in stable equilibrium
Choose the correct answer from the options given below:

A p-type semiconductor can be obtained by adding

A 0.5 m long solenoid has 500 turns and has a flux density of \( 2.52 \times 10^{-3} \text{ T} \) at its centre.
The current flowing in the solenoid would be (given, \( \mu_0 = 4\pi \times 10^{-7} \text{ Hm}^{-1} \))

At an instant of time, a magnetic field is applied along the velocity of the particle. The acceleration produced in the particle will be

If focal length of a concave lens is 50 cm, then the power of the lens would be

In the circuit shown below- a capacitor is being used in an AC circuit. A magnetic needle shows deflection, both at point P and Q. Which of the options among the following correctly specifies the reason for the presence of magnetic field at both the points?

A capacitor charged from a 100 V d.c supply is found to have charge of 20 \(\mu\text{C}\). How much energy is stored in it ?

The value of \(k\) for which the function \(f(x)=\left\{\begin{array}{ll}\frac{1-\cos 8 x}{16 x^2} & , \text { if } x \neq 0 \\ k & , \text { if } x=0\end{array}\right.\) is continuous at \(x=0\) is :

Read the following paragraph and answer the given questions.
Bio-fertilisers are organisms that enrich the nutrient quality of the soil like cyanobacteria, while there are organisms that help to control plant diseases and pests. The very familiar beetle, the ladybird and dragonflies are useful to get rid of aphids and mosquitoes, respectively. An example of microbial biocontrol agents that can be introduced to control butterfly caterpillars is certain bacteria, which are available in sachets in the form of dry spores. These spores are mixed with water and sprayed onto vulnerable plants. Trichoderma species that are very common in the root ecosystem, are very effective biocontrol agents of several plant pathogens.Baculoviruses attack insects and other arthropods. Usage of these viruses is desirable when an ecological sensitive area is being treated.
Find the odd one out of the given organisms?

"Soft drink bottles are sealed under high pressure to increase the solubility of carbon dioxide" is the application of
which of the following laws :

Match List-l with List-II

List-l	List-II
(A) Ambident nucleophiles	(I) Symmetrical object
(B) Plane polarized light	(II) Saytzeff rule
(C) Superimposable mirror image	(III) Cyanides and nitrites
(D) β-elimination reaction	(IV) Nicol Prism

Choose the correct answer from the options given below :