Exam Details
IIT JEE 1979
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Questions
39
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Subtopic distribution
Difficulty distribution
39questions
Medium
19
48.7%
Easy
17
43.6%
Hard
3
7.7%
Question type distribution
39questions
Subjective
21
53.8%
Multiple Choices
18
46.2%
Syllabus
Full Syllabus
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1979 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1979
5 ml of a gas containing only carbon and hydrogen were mixed with an excess of oxygen (30 ml) and the mixture exploded by means of an electric spark. After the explosion, the volume of the mixed gases remaining was 25 ml. On adding a concentrated solution of potassium hydroxide, the volume further diminished to 15 ml of the residual gas being pure oxygen. All volumes have been reduced to N.T.P. Calculate the molecular formula of the hydrocarbon gas.
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1979 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 1979
Given that \({C_1} + 2{C_2}x + 3{C_3}{x^2} + ......... + 2n{C_{2n}}{x^{2n - 1}} = 2n{\left( {1 + x} \right)^{2n - 1}}\)
where \({C_r} = {{\left( {2n} \right)\,!} \over {r!\left( {2n - r} \right)!}}\,\,\,\,\,r = 0,1,2,\,............,2n\)
Prove that \({C_1}^2 - 2{C_2}^2 + 3{C_3}^2 - ............ - 2n{C_{2n}}^2 = {\left( { - 1} \right)^n}n{C_n}.\)
where \({C_r} = {{\left( {2n} \right)\,!} \over {r!\left( {2n - r} \right)!}}\,\,\,\,\,r = 0,1,2,\,............,2n\)
Prove that \({C_1}^2 - 2{C_2}^2 + 3{C_3}^2 - ............ - 2n{C_{2n}}^2 = {\left( { - 1} \right)^n}n{C_n}.\)
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1979 · Physics · Mechanics · Motion
IIT JEE 1979
Answer the following giving reason in brief:
Is the time variation of position, shown in the figure observed in nature?
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1979 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1979
4.215 g of a metallic carbonate was heated in a hard glass tube and the CO2 evolved was found to measure 1336 ml at 27oC and 700 mm pressure. What is the equivalent weight of metal?
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1979 · Mathematics · Algebra · Complex Numbers
IIT JEE 1979
If x + iy = \(\sqrt {{{a + ib} \over {c + id}}}\), prove that \({({x^2} + {y^2})^2} = {{{a^2} + {b^2}} \over {{c^2} + {d^2}}}\).
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1979 · Physics · Mechanics · Motion
IIT JEE 1979
The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by the equation \(t = \sqrt x + 3\)
where x is in meters and t in seconds. Find
where x is in meters and t in seconds. Find
(i) The displacement of the particle when its velocity is zero, and
(ii) The work done by the force in the first 6 seconds.
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