List of practice Questions

Which among the following carboxylic acids is found in Lemon?

What is change in internal energy if a system gains xJ of heat and yJ work is done on it?

Which among the following is not a characteristic of alcohols?

Air column in two identical tubes is vibrating. Tube A has one end closed and tube B has both ends open. Neglecting end correction, the ratio of the fundamental frequency of air column in tube A to that in tube B is

For a particle performing S.H.M. the equation $ \frac{d^2x}{dt^2} + \alpha x = 0 $. Then the time period of the motion will be:

Consider the following statements about interference of light.
A – When crest of one wave coincides with crest of another wave at a point, this point is a point of destructive interference.
B – Two coherent sources emit wave of same frequency with constant phase difference.
Choose the correct option from the following.

A satellite of mass ‘m’ is revolving around the earth of mass ‘M’ in an orbit of radius ‘r’. The angular momentum of the satellite about the centre of orbit will be

Which of the following is not the method of preparation of phenol?

The circle $ x^2 + y^2 + 4x - 7y + 12 = 0 $ cuts an intercept on the Y-axis of length

If the tangent to the curve $ xy + ax + by = 0 $ at $ (1, 1) $ is inclined at an angle $ \tan^{-1}{2} $ with the X-axis, then

If two circles $ (x - 1)^2 + (y - 3)^2 = r^2 $ and $ x^2 + y^2 - 8x + 2y + 8 = 0 $ are given, then

The value of $ 3\log_5{5} - 5\log_4{3} $ is

From a balloon rising vertically with uniform velocity $v$ ft/sec, a piece of stone is let go. The height of the balloon above the ground when the stone reaches the ground after 4 sec is [g = 30 ft/sec²]

Let $f(x) = x^2 + x \sin x - \cos x$. Then

Let $z_1$ and $z_2$ be two non-zero complex numbers. Then

Let $\Delta = \left| \begin{matrix} \sin \theta \cos \varphi & \sin \theta \sin \varphi & \cos \theta \\ \cos \theta \cos \varphi & \cos \theta \sin \varphi & -\sin \theta \\ -\sin \theta \sin \varphi & \sin \theta \cos \varphi & 0 \end{matrix} \right|$. Then

Consider the equation $y - y_1 = m(x - x_1)$. If $m$ and $x_1$ are fixed, and different lines are drawn for different values of $y_1$, then

Let $R$ and $S$ be two equivalence relations on a non-void set $A$. Then

Twenty meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle be, if the area of the flower bed is greatest?