List of top Questions asked in MHT CET

If $f(x) = \frac{\sin^2 x}{1+\cot x} + \frac{\cos^2 x}{1+\tan x}$, then the value of $f'(\frac{\pi}{6})$ is equal to ______.

The least distance of the point A(10, 7) from the circle $x^2 + y^2 - 4x - 2y - 20 = 0$ is length of seg AM. If MM' is the diameter of the circle, then the lengths of AM and AM' are respectively ______, ______ units.

Equal masses of helium and oxygen are mixed in an empty container at $25^{\circ}\text{C}$. What is the fraction of the total pressure exerted by helium?

What is the difference in molar mass of Undecane and Dodecane?

Calculate the change in internal energy of the system if work done by the system is 18 joule and absorbs heat 50 joule in a particular reaction.

Calculate % by mass of a $\text{H}_{2}\text{O}_{2}$ solution that is 67.2 by volume.

Identify from following the correct set of thermodynamic conditions for a reaction to be nonspontaneous at all temperatures.

Dissociation constant of 0.01 M weak acid is $10^{-4}$. What is percent dissociation of acid?

A manufacturer sells $x$ items at a price of ₹$(6 - \frac{x}{40})$ each. The cost price of $x$ items is ₹$(\frac{x}{5} + 193)$. The maximum profit in ₹ is ______.

Calculate $\Delta S_{\text{total}$ for a certain reaction if $\Delta H=-150\text{ kJ}$ and $\Delta S=32\text{ J K}^{-1}$ at 300 K.

The error in the measurement of length and mass is 3% and 4% respectively. The error in the measurement of density will be ______.

A boy throws a ball vertically upwards from a bridge with velocity 5 m/s. It strikes water surface after 2 s. The height of the bridge is (Take g = 10 m/s$^2$) ______.

Charges of $2\mu C$ and $-3\mu C$ are placed at two points A and B separated by distance of 1 m. The distance of the point from A where net potential is zero is ______.

If the plane $\frac{x}{2} + \frac{y}{3} + \frac{z}{6} = 1$ cuts the co-ordinate axes at points A, B, C respectively, then area of the triangle ABC is ______.

The potentiometer wire is 5 m long and potential difference of 4 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 200 cm of the potentiometer wire is ______.

The modulus of the square root of the complex number $6 + 8i$ (where $i = \sqrt{-1}$) is ______.

Identify the product 'A' formed in the following reaction (Addition of $\text{Br}_{2}$ to an alkene).

What is the numerical value of osmotic pressure of 1 M urea solution if numerical value of osmotic pressure of 0.5 M urea solution is 'x'?

A bar of iron having magnetic moment 2.4 Am$^2$ weighs 66 g. If the density of the material of the bar is 7700 kg/m$^3$, the intensity of magnetisation in Am$^{-1}$ is ______.

If $f(x) = \sqrt{1 + \cos^2(x^2)}$, then $f'(\frac{\sqrt{\pi}}{2})$ is ______.

A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is 4 N/m. If at any instant its velocity is 20 cm/s, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m) ______.

The money invested in a company is compounded continuously. If Rs. 400 invested today becomes Rs. 800 in 6 years, then at the end of 30 years, it will become (in Rs.) ______.

The mirror image of the point $P(-1, 2, -4)$ in the plane $x - y - 2z + 1 = 0$ is ______.

L, C and R are connected in series to an a.c. source. Which one of the following is true? Phase relation between current and voltage is such that ______.

In Sonometer experiment, the frequency of a tuning fork used is 288 Hz. Harmonics will 'NOT' be produced at the frequency ______.