1
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be :-
A
$$\left( {{{5a} \over 3},{{5b} \over 3}} \right)$$
B
$$\left( {{{2a} \over 3},{{2b} \over 3}} \right)$$
C
$$\left( {{{5a} \over 12},{{5b} \over 12}} \right)$$
D
$$\left( {{{3a} \over 4},{{3b} \over 4}} \right)$$
2
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
A body of mass m1 moving with an unknown velocity of $${v_1}\mathop i\limits^ \wedge$$, undergoes a collinear collision with a body of mass m2 moving with a velocity $${v_2}\mathop i\limits^ \wedge$$ . After collision, m1 and m2 move with velocities of $${v_3}\mathop i\limits^ \wedge$$ and $${v_4}\mathop i\limits^ \wedge$$ , respectively. If m2 = 0.5 m1 and v3 = 0.5 v1, then v1 is :-
A
$${v_4} - {{{v_2}} \over 2}$$
B
$${v_4} - {{{v_2}} \over 4}$$
C
$${v_4} - {v_2}$$
D
$${v_4} + {v_2}$$
3
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Four particles A, B, C and D with masses mA = m, mB = 2m, mC = 3m and mD = 4m are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of mass of the particles is :
A
$${a \over 5}\left( {\mathop i\limits^ \wedge + \mathop j\limits^ \wedge } \right)$$
B
$${a \over 5}\left( {\mathop i\limits^ \wedge - \mathop j\limits^ \wedge } \right)$$
C
$${a }\left( {\mathop i\limits^ \wedge + \mathop j\limits^ \wedge } \right)$$
D
Zero
4
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If 1022 gas molecules each of mass 10–26 kg collide with a surface (perpendicular to it) elastically per second over an area 1 m2 with a speed 104 m/s, the pressure exerted by the gas molecules will be of the order of :
A
108 N/m2
B
1016 N/m2
C
104 N/m2
D
2 N/m2
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