1
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :

A
$${{\Delta A} \over A} + {{\Delta B} \over B} + {{\Delta C} \over C}$$
B
$${{2\Delta A} \over A} + {{3\Delta B} \over B} - {{4\Delta C} \over C}$$
C
$${{2\Delta A} \over A} + {{3\Delta B} \over B} + {{4\Delta C} \over C}$$
D
$${{\Delta A} \over A} + {{\Delta B} \over B} - {{\Delta C} \over C}$$
2
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the following expression is true for $$\overrightarrow A $$ ?

A
$$\overrightarrow A \,.\,\overrightarrow A = 0$$
B
$$\overrightarrow A \times \overrightarrow A < 0$$
C
$$\overrightarrow A \times \overrightarrow A = 0$$
D
$$\overrightarrow A \times \overrightarrow A > 0$$
3
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$$ to each other?

A
$$|\widehat A + \widehat B| = |\widehat A - \widehat B|\tan {\theta \over 2}$$
B
$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\tan {\theta \over 2}$$
C
$$|\widehat A + \widehat B| = |\widehat A - \widehat B|cos{\theta \over 2}$$
D
$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\cos {\theta \over 2}$$
4
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If force $$\overrightarrow F = 3\widehat i + 4\widehat j - 2\widehat k$$ acts on a particle position vector $$2\widehat i + \widehat j + 2\widehat k$$ then, the torque about the origin will be :

A
$$3\widehat i + 4\widehat j - 2\widehat k$$
B
$$ - 10\widehat i + 10\widehat j + 5\widehat k$$
C
$$10\widehat i + 5\widehat j - 10\widehat k$$
D
$$10\widehat i + \widehat j - 5\widehat k$$
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