Question 1 :
Two capacitors of capacitance $C_1$ and $C_2$ respectively are charged to $120 V$ and $200 V$ respectively. It is found that by connecting them together the potential on each one can be made zero. Then :<br/>

Question 2 :
Consider a huge charge reservoir at potential $V=200$ volts. A spherical capacitor $C_{1}=40nF$ is brought in contact with the charge reservoir and then removed. Afterwards, another spherical capacitor $C_{2}=30nF$ is brought in contact with $C_{1}$ and removed. This process is repeated many times . Assume that potential of reservoir does not change during this exercise. Then the charge in $\left ( \mu C \right )$ on $C_{2}$ after a very long time is :<br/>

Question 3 :
A dielectric slab of thickness $6\ cm$<b> </b>is placed between the plates of a parallel plate capacitor. If the distance between the plates is reduced by $4\ cm$, the capacity of the capacitor remains same. Find the dielectric constant of the medium.

Question 4 :
The capacity of a spherical condenser is $1\mu F$. If the spacing between the two spheres is $1\ mm$, the radius of the outer sphere is.

Question 5 :
An ionization chamber with parallel conducting plates as anode and cathode, has $5\times 10^{7}$ electrons and the same number of singly charged positive ions per $cm^{3}$. The electrons are moving towards the anode with velocity $0.4\ m/s$. The current density from anode to cathode is $4\mu A/m^{2}$. The velocity of positive ions moving towards cathode is

Question 6 :
A counter consists of a cylindrical cathode of radius $1 cm$ and an anode wire of radius $0.01 cm$ which is placed along the axis of the cathode. A voltage of $2.3 kV$ is applied between the cathode and anode. The electric field on the anode surface must be :<br/>

Question 7 :
Find the electric field in the copper wire of area of cross section $2\ mm^2$ carrying a current of $1\ A.$ The resistivity of copper is $1.7\times 10^{-8}\Omega m$.<br>

Question 10 :
Calculate the work done on the tool by $\vec{F}$ if this displacement is along the straight line $y =x$ that connects these two points. <br/>

Question 11 :
<font>A space shuttle of mass 86400 kg is revolving in a circular orbit of radius 6.66 × 10</font>^{<font>6</font>}<font> m around the earth. It takes 90.1 minutes for the shuttle to complete one revolution. On a repair mission it moves 1 m closer to a disable satellite every 3.0 s. Find the KE of shuttle relative to the satellite.</font></p>

Question 12 :
<font>A force F acting on an object varies with distance x as shown in the figure:</font></p> <p align="center"> <img style='object-fit:contain' align="bottom" height="112" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f1d675b85f121f542c97" width="157"/> </p> <p align="justify"> <font>The work done by the force in moving the object from x = 0 to x = 8 m is:</font></p>

Question 13 :
An object is dropped from a height $h$ from the ground. Every time it hits the ground it looses $50\%$ of its kinetic energy. The total distance covered at $ t\rightarrow \infty$ is

Question 14 :
A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is <br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5ec26171d478eb6a39d86c31' class="uploaded-image" />

Question 15 :
A particle is moving in a straight line and passes through a point {tex} O {/tex} with a velocity of {tex} 6 \mathrm { ms } ^ { - 1 } {/tex}. The particle moves with a constant retardation of {tex} 2 \mathrm { ms } ^ { - 2 } {/tex} for {tex} 4 s {/tex} and there after moves with constant velocity. How long after leaving {tex} O {/tex} does the particle return to {tex} \mathrm { O } {/tex}

Question 16 :
A train is travelling at a speed of $108\ km/h$. Brakes are applied so as to produce a uniform retardation of $1\ m/s^{2}$. Find how far the train will go before it is brought to rest :

Question 17 :
A body slipping on a tough horizontal plane moves With a deceleration of 4.0 m/${ s }^{ 2 }$ . What is the coefficient of kinetic friction between the block and the plane ?

Question 19 :
To avoid slipping while walking on ice, one should take smaller steps because:<br>

Question 20 :
A particle attached to a string is rotating with a constant angular velocity and its momentum is $L$. If the string is halved and angular velocity is kept constant, the angular momentum will be