1
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
Change Language
A body A, of mass m = 0.1 kg has an initial velocity of 3$$\widehat i$$ ms-1 . It collides elastically with another body, B of the same mass which has an initial velocity of 5$$\widehat j$$ ms-1. After collision, A moves with a velocity $$\overrightarrow v = 4\left( {\widehat i + \widehat j} \right)$$. The energy of B after collision is written as $${x \over {10}}$$. The value of x is ___________.
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2
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these capacitors are connected in series, their effective capacitance will be :
A
4.2 μF
B
8.4 μF
C
1.6 μF
D
3.2 μF
3
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
Change Language
Four resistances of 15$$\Omega $$, 12$$\Omega $$, 4$$\Omega $$ and 10$$\Omega $$ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10$$\Omega $$ to balance the network is _____$$\Omega $$.
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4
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $$\ell $$. The other end is fixed. The system is given an angular speed $$\omega $$ about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is :
A
$${{m\ell {\omega ^2}} \over {k - m{\omega ^2}}}$$
B
$${{m\ell {\omega ^2}} \over {k - m{\omega}}}$$
C
$${{m\ell {\omega ^2}} \over {k + m{\omega ^2}}}$$
D
$${{m\ell {\omega ^2}} \over {k + m{\omega}}}$$
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