Union Public Service Commission NDA and NDA 1 2021 Application Open

The approximate number of vacancies to be filled on the results of this examination will be as under :—

National Defence Academy

370 to include 208 for Army, 42 for Navy and 120 for Air Force (including 28 for ground Duties)

 

Naval Academy

(10+2 Cadet Entry Scheme) : 30

Total : 400

 

Eligibility

Nationality :

A candidate must be unmarried male and must be :

(i) a citizen of India, or

(ii) a subject of Nepal, or

(iii) a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention of permanently settling in India.

 

Age Limits, Sex and Marital Status :

Only unmarried male candidates born not earlier than 02nd July, 2002 and not later than 1st July, 2005 are eligible.

 

Educational Qualifications:

(i) For Army Wing of National Defence Academy :—12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.

(ii) For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy :—12th Class pass with Physics, Chemistry and

Mathematics of the 10+2 pattern of School Education or equivalent conducted by a State Education Board or a University.

Candidates who are appearing in the 12th Class under the 10+2 pattern of School Education or equivalent examination can also apply for this examination.

Those candidates who have yet to qualify in the 12th class or equivalent examination and are allowed to appear in the UPSC Examination should note that this is only a special concession given to them. They are required to submit proof of passing the 12th class or equivalent examination by the prescribed

date (i.e. 24th December, 2021) and no request for extending this date will be entertained on the grounds of late conduct of Board/University Examination, delay in declaration of results or any other ground whatsoever.

 

Important Dates

Online Application Form Starts : 30 December 2020

Last Date for Submission of Applications: 19.01.2021 till 6.00 PM

Online Applications withdrawn : 27 Jan to 2 Feb 2021 till 6.00 PM

Date of Examination : 18 April 2021

Indian Naval Academy Course (INAC) commencing : 2 January 2022

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SCHEME OF EXAMINATION

The subjects of the written examination, the time allowed and the maximum marks allotted to each subject will be as follows:—

Subject Code Duration Maximum Marks

Mathematics 01 2½ Hours 300

General Ability Test 02 2½ Hours 600

Total 900

SSB Test/Interview 900

 

THE PAPERS IN ALL THE SUBJECTS WILL CONSIST OF OBJECTIVE TYPE QUESTIONS ONLY. THE QUESTION PAPERS (TEST BOOKLETS) OF MATHEMATICS AND PART “B” OF GENERAL ABILITY TEST WILL BE SET BILINGUALLY IN HINDI AS WELL AS ENGLISH.

 

PENALITY FOR WRONG ANSWERS:

Candidates should note that there will be penalty (Negative Marking) for wrong

answers marked by a candidate in the Objective Type Question Papers

CENTRES OF EXAMINATION:

The Examination will be held at the following Centres :

Agartala, Ahmedabad, Aizawl, Prayagraj (Allahabad), Bengaluru, Bareilly, Bhopal, Chandigarh, Chennai, Cuttack, Dehradun, Delhi, Dharwad, Dispur, Gangtok, Hyderabad, Imphal, Itanagar, Jaipur, Jammu, Jorhat, Kochi, Kohima, Kolkata, Lucknow, Madurai, Mumbai, Nagpur, Panaji (Goa), Patna, Port Blair, Raipur, Ranchi, Sambalpur, Shillong, Shimla, Srinagar, Thiruvananthapuram, Tirupati, Udaipur and Vishakhapatnam.

Documents Required

-Photograph (Colored)

-Signature

-10th Marksheet

-Adhar Card

-Category Certificate (if any)

 

Application Fee

SC/ST candidates/Sons of JCOs/NCOs/ORs are exempted from payment of fee

Rs 100/- for All Other Categories

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What is derivative/differentiation (mathematically)?

In mathematics, the derivative is a way to show rate of change: that is, the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on a graph. The derivative is often written using "dy over dx" (meaning the difference in y divided by the difference in x). The d's are not variable, and therefore cannot be cancelled out.

${\displaystyle {\frac {dy}{dx}}}$

The derivative of y with respect to x is defined as the change in y over the change in x, as the distance between ${\displaystyle x_{0}}$ and ${\displaystyle x_{1}}$ becomes infinitely small (infinitesimal). In mathematical terms,

${\displaystyle f'(a)=\lim _{h\to 0}{\frac {f(a+h)-f(a)}{h}}}$

That is, as the distance between the two x points (h) becomes closer to zero, the slope of the line between them comes closer to resembling a tangent line.

Power functions (e.g. ${\displaystyle x^{a}}$) behave differently than linear functions because their slope varies (because they have an exponent).

Power functions, in general, follow the rule that ${\displaystyle {\frac {d}{dx}}x^{a}=ax^{a-1}}$. That is, if we give a the number 6, then ${\displaystyle {\frac {d}{dx}}x^{6}=6x^{5}}$

Another possibly not so obvious example is the function ${\displaystyle f(x)={\frac {1}{x}}}$. This is essentially the same because 1/x can be simplified to use exponents:

${\displaystyle f(x)={\frac {1}{x}}=x^{-1}}$

${\displaystyle f'(x)=-1(x^{-2})}$

${\displaystyle f'(x)=-{\frac {1}{x^{2}}}}$

In addition, roots can be changed to use fractional exponents where their derivative can be found:

${\displaystyle f(x)={\sqrt[{3}]{x^{2}}}=x^{\frac {2}{3}}}$

${\displaystyle f'(x)={\frac {2}{3}}(x^{-{\frac {1}{3}}})}$

Photoelectric Effect

The photoelectric effect is a phenomenon in physics. 

The effect is based on the idea that electromagnetic radiation is made of a series of particles called photons. When a photon hits an electron on a metal surface, the electron can be emitted. The emitted electrons are called photoelectrons. The effect is also called the Hertz Effect, because it was discovered by Heinrich Rudolf Hertz, but this name is not used often.

The photoelectric effect has helped physicistsunderstand the quantum nature of light and electrons. The concept of wave–particle duality was developed because of the photoelectric effect. Albert Einstein proposed the Laws of Photoelectric Effect and Won the Nobel Prize For Physics , 1921.

Not every electromagnetic wave will cause the photoelectric effect, only radiation of a certain frequency or higher will cause the effect. The minimum frequency needed is called the "cutoff frequency" or "threshold frequency'. The cutoff frequency is used to find the work function, w, which is the amount of energy holding the electron to the metal surface. The work function is a property of the metal and is not affected by the incoming radiation. If a frequency of light strikes the metal surface that is greater than the cutoff frequency, then the emitted electron will have some kinetic energy.

The energy of a photon causing the photoelectric effect is found through E = hf = KE + w, where h is Planck's constant, 6.626X10^(-34) J*s, f is the frequency of the electromagnetic wave, KE is the kinetic energy of the photoelectron and w is the work function for the metal. If the photon has a lot of energy, (~thousands of eV) or pair  of eV) may take place.

The intensity of the light does not cause ejection of electrons, only light of the cut off frequency or higher can do that. However increasing the intensity of light will increase the number of electrons being emitted, as long as the frequency is above the cut off frequency.

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