1
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
Change Language
Let [t] denote the greatest integer $$\le$$ t. The number of points where the function $$f(x) = [x]\left| {{x^2} - 1} \right| + \sin \left( {{\pi \over {[x] + 3}}} \right) - [x + 1],x \in ( - 2,2)$$ is not continuous is _____________.
Your input ____
2
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
Change Language
A man starts walking from the point P($$-$$3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2). The man is walking at a constant speed. If the man reaches the point Q in the minimum time, then $$50\left( {{{(PR)}^2} + {{(RQ)}^2}} \right)$$ is equal to ____________.
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3
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :

JEE Main 2021 (Online) 1st September Evening Shift Physics - Electrostatics Question 81 English
A
3.8 $$\times$$ 10$$-$$11 C
B
8.3 $$\times$$ 10$$-$$11 C
C
3.8 $$\times$$ 10$$-$$12 C
D
8.3 $$\times$$ 10$$-$$12 C
4
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4$$\Omega$$. What should be the value of v0 so that a steady current of 2 mA flows in the loop?

JEE Main 2021 (Online) 1st September Evening Shift Physics - Electromagnetic Induction Question 52 English
A
1 m/s
B
1 cm/s
C
102 m/s
D
10$$-$$2 cm/s
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