A nucleus with mass number 240 and binding energy per nucleon 7.6 MeV splits into two fragments each of mass number 120 with binding energy per nucleon 8.5 MeV. The amount of energy released in this process will be :

Which of the following represents Ohm's law for a conducting material?

Electrons in an experiment are accelerated by a voltage of 36 kV. If the voltage is increased to 144 kV, then the de-broglie wavelength associated with the electron would

A coil with an inductance of 0.2 H has an inductive reactance of \( 62.8 \, \Omega \) at a certain frequency. The frequency is

A concave mirror has radius of curvature 2 m. Light from a distance star is incident on the mirror. The distance of the image of the star from the mirror is :

If the height of the TV tower is increased by 21%, then by what percentage will the transmission range of the tower be affected ?

In the context of the Photoelectric effect, identify the statements which support quantum nature of light.
(A) The electric charge of photoelectrons is quantized
(B) The maximum kinetic energy of photoelectrons depends on the frequency of the incident light, but is independent of its intensity
(C) The photoelectric emission is an instantaneous process without any apparent time lag, even when the incident radiation is made exceedingly dim
(D) There is a minimum frequency of light below which no photoelectrons are emitted
Choose the correct answer from the options given below:

A manufacturer can sell x items at a price of mp 3x + 5 each. The cost price of x items is ₹\(x^2\ + 5x.
If z is the number of items she should sell to get no profit and no loss, then:

If \(\left|\begin{array}{ccc}x+4 & 2 x & 2 x \\ 2 x & x+4 & 2 x \\ 2 x & 2 x & x+4\end{array}\right|=k(x-4)^2\), then value of \(k\) is :

What is the IUPAC name of m-cresol?

Read the paragraph given below and answer the question.
Sutton and Boveri argued that the pairing and separation of a pair of chromosomes would lead to the segregation of a pair of factors they carried. Sutton united the knowledge of chromosomal segregation with Mendelian principles and called it the chromosomal theory of inheritance. Following this synthesis of ideas, experimental verification of the chromosomal theory of inheritance by Thomas Hunt Morgan and his colleagues, led to discovering the basis for the variation that sexual reproduction produced. Morgan worked with the tiny fruit files, which were found very suitable for such studies. They could be grown on simple synthetic medium in the laboratory. They complete their life cycle in a short span of time and a single mating could produce a large number of progeny flies. Also, there was a clear differentiation of the sexes - the male and female flies are easily distinguishable. Also, it has many types of hereditary variations that can be seen with low power microscopes.
Drosophila melanogaster complete their life cycle in

The greatest integer function defined by \(f(x)=[2 x], 0 < x < 2\)

Consider the LPP, with objective function optimize \(Z=2 x-y+5\) subject to constraints \(3 x+4 y \leq 60 ; x+3 y \leq 30 ; x, y \geq 0\). If the corner points of feasible region are \(A(0,10), B(12,6), C(20,0)\) and \(O(0,0)\), then match List I with List II:

LIST 1	LIST 2
Minimum value of Z	45
Maximum value of Z	50
The sum of minimum and maximum value of Z	-5
Maximum of Z - Minimum of Z	40