Match List-I with List-II.
List-I (Metal)
List-II (Emitted light
wavelength (nm))
Choose the most appropriate answer from the options given below:
Consider the above reactions, the product A and product B, respectively are
The major product in the following reaction is:
The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is
Given below are two statements.
Statement I : Phenols are weakly acidic.
Statement II : Therefore they are freely soluble in NaOH solution and are weaker acids than alcohols and water.
Choose the most appropriate option.
Let ƒ R ⇒ R be a function defined by
where [t] is the greatest integer less than or equal to t. Let m be the number of points where ƒ is not differentiable and
Then the ordered pair (m, I) is equal to :
Let
\(a→=α\^{i}+3\^{j}−\^{k}, \overrightarrow{b}=3\^{i}−β\^{j}+4\^{k} and \overrightarrow{c}=\^{i}+2\^{j}−2\^{k }\)
where α,β∈R, be three vectors. If the projection of
\(\overrightarrow{a} on \overrightarrow{c} is \frac{10}{3} and \overrightarrow{b}×\overrightarrow{c}=−6\^{i}+10\^{j}+7\^{k}, \)
then the value of α+β is equal to
The area enclosed by y2 = 8x and y = √2x that lies outside the triangle formed by \(y=√2x,x=1,y=2√2\), is equal to
If the system of linear equations
2x + y – z = 7
x – 3y + 2z = 1
x + 4y + δz = k, where δ, k ∈ R
has infinitely many solutions, then δ + k is equal to:
