List of top Questions asked in MHT CET

Moment of inertia of the rod about an axis passing through the centre and perpendicular to its length is '$I_1$'. The same rod is bent into a ring and its moment of inertia about the diameter is '$I_2$'. Then $I_1/I_2$ is ______.
An infinitely long straight conductor carrying current 'I' is bent into a shape as shown in figure. The radius of the circular loop is 'r'. The magnetic induction at the centre of the loop at point 'O' is ______.

The solubility product of AgBr is $4.9\times10^{-13}$ at a certain temperature. Calculate the solubility.
The line MN whose equation is $x - y - 2 = 0$ cuts the X-axis at M and coordinates of N are (4, 2). The line MN is rotated about M through $45^{\circ}$ in anticlockwise direction. The equation of the line MN in the new position is ______.
If $\vec{a} = \lambda x \hat{i} + y \hat{j} + 4z \hat{k}$, $\vec{b} = x \hat{i} + y \hat{j} + 3y \hat{k}$, and $\vec{c} = -2 \hat{i} - 2z \hat{j} - (\lambda + 1) \hat{k}$ such that $\vec{a} + \vec{b} - \vec{c} = \vec{0}$, then the value of $\lambda$ is ______.
If $\int \frac{dx}{x^4 + 5x^2 + 4} = A \tan^{-1} x + B \tan^{-1} \frac{x}{2} + c$ where $c$ is a constant of integration, then ______.
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 ______.
Identify the products of following reaction: Formaldehyde + Benzaldehyde $\xrightarrow{i. \text{conc. NaOH } ii. \text{H}_3\text{O}^+}$ Products.
If the truth value of the expression $[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q)$ is False, then truth values of p, q, r are respectively ______.
$\int_0^1 \tan^{-1} x \, dx = $ ______.
Out of the following statements which is NOT the characteristics of electric lines of force? ______.
Light of incident frequency 3 times the threshold frequency is incident on a photosensitive material. If the incident frequency is made (1/4)th and intensity is tripled then the photoelectric current will ______.
The equation of the directrix of the parabola $y^2 + 4y + 4x + 2 = 0$ is ______.
Fundamental frequency of sonometer wire is 'n'. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be ______.
In Paschen series, wavelength of first line is '$\lambda_1$' and for Brackett series, wavelength of first line is '$\lambda_2$' then ratio $\frac{\lambda_1}{\lambda_2}$ is ______.
Calculate rate constant of a first order reaction having pre-exponential factor $1.6\times10^{-13}\text{s}^{-1}$. ($E_{a}/2.303RT=21$)}
Rate of the reaction $\text{A}+\text{B}\rightarrow$ product is $3.6\times10^{-2}\text{ mol dm}^{-3}\text{s}^{-1}$ and rate law is $r=k[\text{A}][\text{B}]^{2}$. What is rate constant of the reaction if $[\text{A}]=0.2$ M and $[\text{B}]=0.1$ M?
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 ______.
The ratio of the frequencies of two simple pendulums is 4 : 3 at the same place. The ratio of their respective lengths is ______.
Which of the following changes takes place at positive electrode during recharging of lead accumulator?
Which of the following does NOT exhibit haloform reaction?
The compound forming ccp structure contains $9.6\times10^{23}$ atoms. Find the number of tetrahedral voids formed in it.
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 ______.
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 $[P_{\text{total}}=600\text{ mmHg}]$.
An ideal gas expands adiabatically, ($\gamma = 1.5$). To reduce the r.m.s. velocity of the molecules 4 times, the gas has to be expanded ______.