JEE (Advanced) 2017 Paper-1
Answer the Questions by appropriately matching the information given in the three columns of the following table.
The wave function, $$\psi_{n, l, m_1}$$ is a mathematical function whose value depends upon spherical polar coordinates $$(r, \theta, \phi)$$ of the electron and characterized by the quantum numbers n, l and $$m_1$$. Here r is distance from nucleus, $$\theta$$ is colatitude and $$\phi$$ is azimuth. In the mathematical function given in the Table, Z is atomic number and $$a_0$$ is bohr radius.
JEE (Advanced) 2017 Paper-1 - Question 31
For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is
JEE (Advanced) 2017 Paper-1 - Question 32
For hydrogen atom, the only CORRECT combination is
JEE (Advanced) 2017 Paper-1 - Question 33
For $$He^+$$ ion, the only INCORRECT combination is
Answer the Questions by appropriately matching the information given in the three columns of the following table.
Columns 1, 2 and 3 contain starting materials, reaction conditions, and type of reactions, respectively.
JEE (Advanced) 2017 Paper-1 - Question 34
For the synthesis of benzoic acid, the only CORRECT combination is
JEE (Advanced) 2017 Paper-1 - Question 35
The only CORRECT combination that gives two different carboxylic acids is
JEE (Advanced) 2017 Paper-1 - Question 36
The only CORRECT combination in which the reaction proceeds through radical mechanism is
For the following questions answer them individually
JEE (Advanced) 2017 Paper-1 - Question 37
If $$2x - y + 1 = 0$$ is a tangent to the hyperbola $$\frac{x^2}{a^2} - \frac{y^2}{16} = 1$$, then which of the following CANNOT be sides of a right angled triangle?
JEE (Advanced) 2017 Paper-1 - Question 38
If a chord, which is not a tangent, of the parabola $$y^2 = 16 x$$ has the equation $$2x + y = p$$, and midpoint (h, k), then which of the following is(are) possible value(s) of p, h and k?
JEE (Advanced) 2017 Paper-1 - Question 39
Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function $$f(x) = x \cos (\pi(x + [x]))$$ is discontinuous?
JEE (Advanced) 2017 Paper-1 - Question 40
Let $$f:R \rightarrow (0, 1)$$ be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1)?
