1
JEE Main 2023 (Online) 29th January Evening Shift
Numerical
+4
-1
Change Language

For conversion of compound A $$\to$$ B, the rate constant of the reaction was found to be $$\mathrm{4.6\times10^{-5}~L~mol^{-1}~s^{-1}}$$. The order of the reaction is ____________.

Your input ____
2
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (More than One Correct Answer)
+4
-1
Change Language

The statement $$B \Rightarrow \left( {\left( { \sim A} \right) \vee B} \right)$$ is equivalent to :

A
$$B \Rightarrow \left( {\left( { \sim A} \right) \Rightarrow B} \right)$$
B
$$A \Rightarrow \left( {A \Leftrightarrow B} \right)$$
C
$$A \Rightarrow \left( {\left( { \sim A} \right) \Rightarrow B} \right)$$
D
$$B \Rightarrow \left( {A \Rightarrow B} \right)$$
3
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$y=y(x)$$ be the solution of the differential equation $$x{\log _e}x{{dy} \over {dx}} + y = {x^2}{\log _e}x,(x > 1)$$. If $$y(2) = 2$$, then $$y(e)$$ is equal to

A
$${{1 + {e^2}} \over 2}$$
B
$${{1 + {e^2}} \over 4}$$
C
$${{2 + {e^2}} \over 2}$$
D
$${{4 + {e^2}} \over 4}$$
4
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let R be a relation defined on $$\mathbb{N}$$ as $$a\mathrm{R}b$$ if $$2a+3b$$ is a multiple of $$5,a,b\in \mathbb{N}$$. Then R is

A
an equivalence relation
B
non reflexive
C
symmetric but not transitive
D
transitive but not symmetric
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