List of top Questions asked in MHT CET

A block of mass \( M \) is pushed momentarily on a horizontal surface with initial velocity \( V \). If \( \mu \) is the coefficient of sliding friction between the block and surface, the block will come to rest after time \( t \) (where \( g \) is the acceleration due to gravity)
A transistor is used as a common emitter amplifier with a load resistance of 2 k\(\Omega\). The input resistance is 150 \(\Omega\). Base current is changed by 20 \(\mu A\), which results in a change in collector current by 1.5 mA. The amplified voltage gain of the amplifier is
Two unknown resistances are connected in two gaps of a meter bridge. The null point is obtained at 40 cm from the left end. A 30 \(\Omega\) resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of the smaller resistance is
A satellite is revolving in a circular orbit around the earth with total energy \( E \). Its potential energy in that orbit is
In photoelectric emission, the intensity of incident light is reduced then stopping potential
Two wires of the same length and material are used to form a square loop and a circular loop respectively. If the same current is passed through both loops, then the ratio of the magnetic moment of the square loop to that of the circular loop is
Out of the following graphs, which graph shows the correct relation for an LC parallel resonant circuit?
An ammeter is obtained by shunting an \( n \, \Omega \) galvanometer with \( n \, \Omega \) resistance. The additional shunt required to be connected across it to double the range is
A uniform rod of length \( 2L \) has constant mass per unit length \( m \). The moment of inertia of the rod about an axis passing through its center and perpendicular to its length is
Capacity of a parallel plate air condenser is 2 μF and voltage between the plates is changing at the rate of 3 V/s. The displacement current in the capacitor is
Earth is assumed to be a sphere of radius \( R \) and uniform density. The variation of acceleration due to gravity (g) according to the depth and the height (h) from the Earth's surface is shown correctly by the graph
The focal length of the objective used in compound microscope and telescope is respectively
The two waves are represented by \( Y_1 = 10^{-2} \sin \left[ 50t + \frac{x}{25} + 0.3 \right] \, \text{m} \) and \( Y_2 = 10^{-2} \cos \left[ 50t + \frac{x}{25} \right] \, \text{m} \), where \( x \) is in metre and time in second. The phase difference between the two waves is nearly
A disc has mass \( M \) and radius \( R \). How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity \( \omega \) in time \( t \)?
A sphere of mass \( M \) is attached to one end of a metal wire having length \( L \) and diameter \( D \). It is whirled in a vertical circle of radius \( R \) with angular velocity \( \omega \). When the sphere is at the lowest point of its path, the elongation of the wire is
A particle moves along a circular path of radius \( r \) with uniform speed \( V \). The angle described by the particle in one second is

Which of the following statement patterns is a contradiction? 
\[ \begin{aligned} S_1 &: (p \to q) \land (p \land \sim q) \\ S_2 &: [p \land (p \to q)] \to q \\ S_3 &: (p \lor q) \to \sim p \\ S_4 &: [p \land (p \to q)] \leftrightarrow q \end{aligned} \]

If \[ y = \cot^{-1}\!\left(\sqrt{\frac{1-\sin x}{1+\sin x}}\right), \quad \text{then find} \quad \frac{dy}{dx}. \]

If the L.M.V.T. holds for the function \( f(x) = x + \dfrac{1}{x} \), \(x \in [1,3]\), then \(c =\)

If
\[ A = \begin{bmatrix} \cos\theta & -\sin\theta \\ -\sin\theta & -\cos\theta \\ \end{bmatrix} \] then \(A^{-1} =\) 

If two moles of an ideal gas at $546\ \text{K}$ occupy a volume of $44.8\ \text{L}$, what is the pressure of ideal gas at $546\ \text{K}$? 
($R = 0.0821\ \text{L atm mol}^{-1}\text{K}^{-1}$) 

What is the type of hole occupied if limiting value of $\dfrac{r^+}{r^-}$ is in the range of $0.225$ to $0.414$ ?

The sum of oxidation number of all atoms in $\mathrm{S_2O_3^{2-}}$ ion is

What is the conductivity of 0.01 M NaCl solution if resistance and cell constant of NaCl solution are 375 ohms and $0.5\ \text{cm}^{-1}$ respectively at 298 K ?

The Henry's law constant for oxygen is $1.3 \times 10^{-3}\ \text{mol dm}^{-3}\text{atm}^{-1}$. If partial pressure of oxygen is $0.46$ atmosphere, what is the concentration of dissolved oxygen at $25^\circ$C and 1 atm pressure?