In a common emitter amplifier the audio signal voltage across the collector resistance of 2 \( k\Omega \) is 2 V. The current amplification factor is 50. The value of base current is:

The core of a transformer is laminated to:

A series LCR circuit with an inductor, a capacitor and a resistor of resistance 50 Ω is connected to an ac source of 24 V, 50 Hz. The impedance of the circuit is 56 Ω. The average power dissipated in the circuit is

An equiconvex lens has a focal length of 20 cm and its radius of curvature is 30 cm . Its refractive index is

A proton and an alpha particle of the same velocity enter in turn a region of uniform magnetic field, acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the particles, respectively, would be

In a Young's double slits experiment, the source is white light, one of the hole is covered by a red filter and another by a blue filter. In this case:

A telescope has an objective of focal length \(3 0 ~ c m\) and an eyepiece of focal length \(3 . 0 ~ c m\). It is focused on a scale distant 2.0 m . For seeing with relaxed eye, the separation between the objective and eyepiece would be:

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered.
The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k[A]^x[B]^y\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
The order of a reaction which does not exist is

Answer the question on the basis of passage given below :
Living systems are made up of various complex bio-molecules like carbohydrates, proteins, nucleic acids, lipids etc. Proteins and carbohydrates are essential constituents of our food. Carbohydrates are primarily produced by plants and form a very large group of naturally occurring organic compounds. Some common examples are cane sugar, glucose, starch etc.
Insulin, generally given to diabetic patients is a :

Baculoviruses are pathogen that attack :

For the LPP, Min \(z=6 x+10 y\) subject to \(x \geq 6, y \geq 3,2 x+y \geq 10, x \geq 0, y \geq 0\), redundant constraint is:

Read the given paragraph and answer the question:
Humans have 23 pairs of chromosomes. 22 pairs are exactly same in both males and females; these are the autosomes. A pair of X-chromosome are present in the female, whereas the presence of an X and Y chromosome are determinant of the male characteristic.
A number of disorders in human beings have been found to be associated with the inheritance of changed or altered genes or chromosomes. Broadly, genetic disorder may be grouped into two categories-Mendelian disorders and Chromosomal disorders.
What is the probability of having a daughter to a couple expecting their first child?

The degree of the differential equation \(\left(2+\left(\frac{d y}{d x}\right)^2\right)^{\frac{3}{2}}=a^2 \frac{d^2 y}{d x^2}\) is :