JEE Main Practice Quiz

Question 1

If the roots of the quadratic equation $x^2-2ax+a^2-a-2=0$ are real and lie on opposite sides of $2$, then the range of $a$ is

Accepted Answer

$(-\infty,0)$

Question 2

A particle moves in a straight line with velocity $v=3t^2-12t+9$ in SI units. The total distance travelled by the particle from $t=0$ to $t=5\,\text{s}$ is

Accepted Answer

$19\,\text{m}$

Question 3

For the reaction $N_2(g)+3H_2(g)\rightleftharpoons 2NH_3(g)$, if at equilibrium $[N_2]=1.0\,\text{M}$, $[H_2]=2.0\,\text{M}$, and $[NH_3]=4.0\,\text{M}$, the value of $K_c$ is

Accepted Answer

$2$

Question 4

The value of $\displaystyle \lim_{x\to 0}\frac{\sin 3x-3\sin x}{x^3}$ is

Accepted Answer

$-4$

Question 5

A parallel plate capacitor of capacitance $C$ is charged to a potential difference $V$ and then disconnected from the battery. If the distance between the plates is doubled, the energy stored in the capacitor becomes

Accepted Answer

$CV^2$

JEE Main

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