1
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is :

A
19.6 m
B
29.4 m
C
39.2 m
D
73.5 m
2
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $$\omega$$ about an axis passing through fixed end, then the elongation of the spring will be :

A
$${{k - m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$$
B
$${{m{\omega ^2}{l_0}} \over {k + m{\omega ^2}}}$$
C
$${{m{\omega ^2}{l_0}} \over {k - m{\omega ^2}}}$$
D
$${{k + m{\omega ^2}{l_0}} \over {m{\omega ^2}}}$$
3
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is $$\sqrt {x({u^2} - gL)} $$. The value of x is -

A
3
B
2
C
1
D
5
4
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is :

JEE Main 2022 (Online) 27th June Evening Shift Physics - Gravitation Question 96 English

A
$$ - {{Gm} \over d}\left[ {(4 + \sqrt 2 )m + 4\sqrt 2 M} \right]$$
B
$$ - {{Gm} \over d}\left[ {(4 + \sqrt 2 )M + 4\sqrt 2 m} \right]$$
C
$$ - {{Gm} \over d}\left[ {3{m^2} + 4\sqrt 2 M} \right]$$
D
$$ - {{Gm} \over d}\left[ {6{m^2} + 4\sqrt 2 M} \right]$$
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