1
JEE Main 2022 (Online) 25th July Morning Shift
Numerical
+4
-1
Change Language

Let $$f(x)=\left\{\begin{array}{l}\left|4 x^{2}-8 x+5\right|, \text { if } 8 x^{2}-6 x+1 \geqslant 0 \\ {\left[4 x^{2}-8 x+5\right], \text { if } 8 x^{2}-6 x+1<0,}\end{array}\right.$$ where $$[\alpha]$$ denotes the greatest integer less than or equal to $$\alpha$$. Then the number of points in $$\mathbf{R}$$ where $$f$$ is not differentiable is ___________.

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2
JEE Main 2022 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If momentum [P], area $$[\mathrm{A}]$$ and time $$[\mathrm{T}]$$ are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :

A
$$\left[\mathrm{P} \,\mathrm{A}^{-1} \mathrm{~T}^{0}\right]$$
B
$$\left[\mathrm{P} \,\mathrm{A}\mathrm{~T}^{-1}\right]$$
C
$$\left[\mathrm{P}\,\mathrm{A}^{-1} \mathrm{~T}\right]$$
D
$$\left[\mathrm{P} \,\mathrm{A}^{-1} \mathrm{~T}^{-1}\right]$$
3
JEE Main 2022 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which of the following physical quantities have the same dimensions?

A
Electric displacement $$(\overrightarrow{\mathrm{D}})$$ and surface charge density
B
Displacement current and electric field
C
Current density and surface charge density
D
Electric potential and energy
4
JEE Main 2022 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $$60 \mathrm{~m}$$, then the magnitude of displacement would be :

(Given $$\left.\cos 135^{\circ}=-0.7\right)$$

JEE Main 2022 (Online) 25th July Morning Shift Physics - Circular Motion Question 27 English

A
42 m
B
47 m
C
19 m
D
40 m
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