A galvanometer has a resistance of \(8 \Omega\). It is shunted by a wire of resistance \(2 \Omega\). If the total current is 2 A, the current passing through the shunt is

Let \( i_E, i_C \) and \( i_B \) represent the emitter current, collector current and base current respectively in a transistor. Choose the correct statement from the following:

An equiconvex lens of focal length 20 cm in air is immersed in water of refractive index.
What is the percentage change in focal length of the lens? \(\left(\mu_w=\frac{4}{3}\right)\left(\mu_g=\frac{3}{2}\right)\)

Two point charges \( 3 \text{ } \mu\text{C} \) and \( -3 \text{ } \mu\text{C} \) are located at points \( A: (3 \text{ cm}, 0, 0) \) and \( B: (-3 \text{ cm}, 0, 0) \), respectively. The electric field at the origin is

In a step down Transformer :

A diode having potential difference 0.5 V across its junction which does not depend on current, is connected in series with a resistance of \( 20 \Omega \) across a source. If 0.1 A current passes through the resistor, the voltage across the source is :

A radioactive nucleus M undergoes series of decays given below: M \(\xrightarrow{\beta^- decay}\) N \(\xrightarrow{\gamma decay}\) O \(\xrightarrow{\alpha decay}\) P. The mass number of M is 150 and Atomic No of M is 64. The Atomic number of P is

Nitrogen containing compounds are basic in nature & their basic strength depends on ease of availability of lone pair of electrons on nitrogen atoms. For the following nitrogen containing compounds what will be correct order of basicity?

Choose the correct answer from the options given below :

A bubble in glass slab (\( \mu = 1.5 \)) when viewed from one side appears at 5 cm and 2 cm from otherside, then the thickness of the glass slab is:

The function \(f: R \rightarrow R\) defined as \(f(x)=x^2+2 x\) is

Read the following paragraph carefully and answer the given questions.
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. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. 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.
Which one of the following is not the cellular barrier of innate immunity?

Let \(\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=-\hat{i}+\hat{j}\).
Then a vector \(\vec{c}\) satisfying \(\vec{a} \times \vec{c}=\vec{b}\) and \(\vec{a} \cdot \vec{c}=8\) is equal to:

400 g of apple vinegar has \(40 \%\) apple juice in it. The amount of apple juice, which should be added to make it \(60 \%\) in apple vinegar, is :