1
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
Statement : 1

If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ are represented by three sides of a triangle and $${\overrightarrow F _1} + {\overrightarrow F _2} = - {\overrightarrow F _3}$$, then these three forces are concurrent forces and satisfy the condition for equilibrium.

Statement : 2

A triangle made up of three forces $${\overrightarrow F _1}$$, $${\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ as its sides taken in the same order, satisfy the condition for translatory equilibrium.

In the light of the above statements, choose the most appropriate answer from the options given below :
A
Statement - I is false but Statement - II is true
B
Statement - I is true but Statement - II is false
C
Both Statement-I and Statement-II are false
D
Both Statement-I and Statement-II are true
2
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
The boxes of masse 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8 kg to strike the ground starting from rest. (use g = 10 m/s2)

A
0.34 s
B
0.2 s
C
0.25 s
D
0.4 s
3
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should be burnt so that the rocket is given an acceleration of 20 ms-2. The gases come out at a relative speed of 500 ms$$-$$1 with respect to the rocket : [Use g = 10 m/s2]
A
6.0 $$\times$$ 102 kg s$$-$$1
B
500 kg s$$-$$1
C
10 kg s$$-$$1
D
60 kg s$$-$$1
4
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation

$$F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]$$

Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :
A
2F0T/M
B
F0T/2M
C
4F0T/3M
D
F0T/3M
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