List of top Questions asked in MHT CET

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'?

The work done in turning a magnet of magnetic moment 'M' by an angle of 90$^\circ$ from the meridian is 'n' times the corresponding work done to turn it through an angle of 60$^\circ$ where the value of 'n' is ______.

$\int_{1/2}^{2} \frac{1}{x} \csc^{101} \left( x - \frac{1}{x} \right) dx = $ ______.

"It is impossible to determine simultaneously the exact position and exact momentum of an electron." This statement is called

The number of ways in which a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 of them are always to be excluded, 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 ______.

Out of the following statements which is NOT the characteristics of electric lines of force? ______.

The difference in length between two rods A and B is 60 cm at all temperatures. If $\alpha_A = 18 \times 10^{-6}/^\circ C$ and $\alpha_B = 27 \times 10^{-6}/^\circ C$, then the length of rod A and rod B at $0^\circ C$ is respectively ______.

At a place, the length of the oscillating simple pendulum is made $1/4$ times keeping amplitude same then the total energy will be ______.

If $y = \tan^{-1} \left( \sqrt{\frac{1+\sin x}{1-\sin x}} \right)$, $0 \le x < \frac{\pi}{2}$, then $y' \left( \frac{\pi}{6} \right) = $ ______.

The following is p.d.f. of continuous random variable X: $f(x) = \frac{x}{8}$ for $0 < x < 4$. Then $F(0.5)$, $F(1.7)$ and $F(5)$ is respectively ______.

Which among the following salt turns blue litmus red in its aqueous solution?

Calculate vapour pressure of volatile liquid A at given temperature if mole fraction and vapour pressure of volatile liquid B are 0.4 and 900 mm Hg respectively $[P_{\text{total}}=600\text{ mmHg}]$.

$\lim_{x \to \infty} \frac{(2x+1)^{50} + (2x+2)^{50} + (2x+3)^{50} + \dots + (2x+100)^{50}}{(2x)^{50} + (10)^{50}} = $ ______.

If $[x]^2 - 5[x] + 6 = 0$, where $[.]$ denotes the greatest integer function, then ______.

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

Which cation from following exhibits no magnetic moment?

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 ______.

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 ______.

The differential equation which represents the family of curves $y = c_1 e^{c_2 x}$, where $c_1, c_2$ are arbitrary constants is ______.

Which lanthanoid from following may exhibit +4 oxidation state with $f^{0}$ configuration?

A rigid body rotates about a fixed axis with variable angular velocity $(\alpha - \beta t)$ at time $t$, where $\alpha$ and $\beta$ are constants. The angle through which it rotates before it comes to rest is ______.

The solubility product of AgBr is $4.9\times10^{-13}$ at a certain temperature. Calculate the solubility.

The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by $48^\circ C$ at constant pressure is (Molecular weight of nitrogen = 28, R = gas constant, $C_p = 7/2 R$ for diatomic gas) ______.

When magnetic flux changes from $6.5 \times 10^{-2}$ Wb to $11 \times 10^{-2}$ Wb and the change in current is 0.03 A, the coefficient of mutual inductance will be ______.