List of top Questions asked in MHT CET

Out of the fundamental forces in nature, maximum and minimum range is respectively for
Two unit vectors \( \hat{a_1} \) and \( \hat{a_2} \) are inclined to each other at an angle \( \theta \). If \( | \hat{a_1} - \hat{a_2} | = \sqrt{3} \), then the value of \( ( \hat{a_1} - \hat{a_2} ) \cdot ( 2\hat{a_1} - \hat{a_2} ) \) is
The angle made by a vector \( \vec{B} = 3\hat{i} + 2\hat{j} + 4\hat{k} \) with the y-axis is
An electron makes a transition from an excited state to the ground state of a hydrogen-like atom. Out of the following statements, which one is correct?
In a transistor amplifier, base-emitter junction is forward biased and collector-emitter junction is reverse biased. The current gain is
The ratio of the specific heats \( \frac{C_p}{C_v} = \gamma \) in terms of degrees of freedom 'n' is given by
When the observer moves towards a stationary source with velocity \( V_o \), the apparent frequency of emitted note is \( F_1 \). When the observer moves away from the source with velocity \( V_o \), the apparent frequency is \( F_2 \). If \( V \) is the velocity of sound in air and \( \frac{F_1}{F_2} = 2 \), then \( \frac{V}{V_o} \) is equal to
Two parallel wires of equal lengths are separated by a distance of 3m from each other. The currents flowing through the first and second wire are 3A and 4.5A respectively in opposite directions. The resultant magnetic field at the mid-point of both the wires is \( \mu_0 \) (permeability of free space) is
A thin uniform rod of length 'L' and mass 'M' is bent at the middle point 'O' at an angle of 45° as shown in the figure. The moment of inertia of the system about an axis passing through 'O' and perpendicular to the plane of the bent rod, is
Identify the wrong statement with reference to immunity.
A die is thrown twice. If getting a number greater than four on the die is considered a success, then the variance of the probability distribution of the number of successes is
The elevation in boiling point of $0.25$ molal aqueous solution of a substance is $(K_b = 0.52\, K\, kg\, mol^{-1})$
Which among the following is correct for electrolysis of brine solution ?
The temperature of $32^{\circ}C$ is equivalent to
If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8}\, cm$ the radius of metal atom is
Which of the following oxides can act both as an oxidising agent as well as reducing agent ?
"The mass and energy both are conserved in an isolated system", is the statement of
The number of pi-bonds present in benzoic acid molecule are
The combining ratios of hydrogen and oxygen in water and hydrogen peroxide are $1 : 8$ and $1 : 16$ . Which law is illustrated in this example ?
$9$ gram anhydrous oxalic acid (mol. wt. = $90$) was dissolved in $9.9$ moles of water. If vapour pressure of pure water is $p_{1}^\circ 1$ the vapour pressure of solution is
Maximum kinetic energy gained by the charged particle in the cyclotron is independent of
Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$, corresponding angle of refraction is
The stopping potential of the photoelectrons, from a photo cell is
A molecule of water on the surface experiences a net
The reaction in which $2$ molecules of chlorobenzene reacts with metallic sodium in presence of dry ether forming diphenyl is an example of,