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1
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time 't' is proportional to :-
A
t2/3
B
t3/2
C
t
D
t1/2
2
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstacle on the way. After deflection it moves with 5% of its initial kinetic energy. What is the speed of the ball now?
A
14.41 ms$$-$$1
B
19.0 ms$$-$$1
C
4.47 ms$$-$$1
D
1.00 ms$$-$$1
3
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
If two similar springs each of spring constant K1 are joined in series, the new spring constant and time period would be changed by a factor :
A
$${1 \over 2},2\sqrt 2$$
B
$${1 \over 4},2\sqrt 2$$
C
$${1 \over 2},\sqrt 2$$
D
$${1 \over 4},\sqrt 2$$
4
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
If the potential energy between two molecules is given by
U = $$- {A \over {{r^6}}} + {B \over {{r^{12}}}}$$,
then at equilibrium, separation between molecules, and the potential energy are :
A
$${\left( {{{2B} \over A}} \right)^{1/6}}$$, $$- {{{A^2}} \over {4B}}$$
B
$${\left( {{{2B} \over A}} \right)^{1/6}}, - {{{A^2}} \over {2B}}$$
C
$${\left( {{B \over A}} \right)^{1/6}},0$$
D
$${\left( {{B \over {2A}}} \right)^{1/6}}, - {{{A^2}} \over {2B}}$$
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