The magnitude of a magnetic force on a current carrying conductor is given by :

In Young's double slit experiment, two slits are 2 mm apart and the screen is 2 m away from the slits. A light source having two wavelengths 4000 \( \text{\AA} \) and 6000 \( \text{\AA} \) is used.
The minimum distance from the centre of the screen where the bright fringes produced by both wavelengths coincide is :

The current through a 4/3 \(\Omega\) external resistance connected to a parallel combination of two cells with emfs of 2 V and 1 V, internal resistances 1 \(\Omega\) and 2 \(\Omega\) respectively, is :

A given p-n junction is forward biased. Which of the following statements is correct?

The power of some lenses are given below:
A. 2 D \(\quad\) B. 2 \(\quad\) C. 50\(\quad\) D. 100 D
Which lenses are most suitable to construct a compound Microscope with objective lens and Eyepiece, respectively?
Choose the correct answer from the options given below:

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, \( \mu_0 = 4\pi \times 10^{-7} \text{ Hm}^{-1} \))

Photo electric effect reveals the:

Toluene on chlorination in presence of UV light gives

If A is any non-zero square matrix, then the matrix \(P=\frac{1}{2}\left(A-A^T\right)\) is:

Resistances in two gaps of a metre bridge are 8\( \Omega \) and 24\( \Omega \) , respectively. The distance by which the balance point shifts by interchanging the resistances in the two gaps, is

Read the following passage carefully and answer the given questions.
Plasmodium, a tiny protozoan is responsible for the disease malaria. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. Innate immunity consist of four types of barriers. These are – (i) Physical barriers- skin on our body is the main barrier which prevents entry of the micro-organisms. (ii) Physiological barriers- Acid in the stomach, saliva in the mouth, tears from eyes-all prevent microbial growth. (iii) Cellular barriers- Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. (iv) Cytokine barriers- virus-infected cells secrete proteins called interferons which protect non-infected cells from further viral infection. Allergy is due to the release of chemicals like histamine and serotonin from the mast cells. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused.
Which one of the followings is not an example of physiological barriers?

Let A, B, C be three events. If the probability of occurring exactly one out of A and B is \(\frac{3}{5}\), exactly one out of B and C is \(\frac{1}{5}\), exactly one out of C and A is \(\frac{3}{5}\), and that of occurring of three events is \(\frac{4}{25}\), then the probability of occurring at least one of them is

If the lines \(\frac{1-x}{3}=\frac{y-2}{2 \lambda}=\frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda}=\frac{y-1}{1}=\frac{6-z}{5}\) are perpendicular, then the value of \(\lambda\) is: