List of top Questions asked in MHT CET

There is head-on elastic collision between the two particles moving in the same direction with speeds \(5\text{ m/s}\) and \(3\text{ m/s}\) respectively. After collision, the velocity of the first particle becomes \(4\text{ m/s}\) in the same direction. The velocity of the second particle should be

In a Fraunhoffer diffraction, light of wavelength '\(\lambda\)' is incident on slit of width ' d '. The diffraction pattern is observed on a screen placed at a distance ' D '. The linear width of central maximum is equal to two times the width of the slit, then 'D' has value

When the heat is given to a gas in an Isothermal process, then there will be

Light of wavelength \(\lambda\) strikes a photoelectric surface and electrons are ejected with energy \(E\). If \(E\) is to be increased to twice the original value, the wavelength changes to \(\lambda_1\)

One end of a capillary tube is dipped in water, the rise of water column is '\(h\)'. The upward force of 98 dyne due to surface tension is balanced by the force due to the weight of the water column. The inner circumference of the capillary is ( surface tension of water \(= 7 \times 10^{-2}\text{Nm}^{-1}\) )

The molar specific heat of an ideal gas at constant pressure and constant volume is '\(C_P\)' and '\(C_V\)' respectively. If '\(R\)' is a universal gas constant and the ratio of '\(C_P\)' to '\(C_V\)' is \(\gamma\), then '\(C_P\)' is equal to

In Young's double slit interference experiment, using two coherent sources of different amplitudes, the intensity ratio between bright to dark fringes is \(5 : 1\). The value of the ratio of resultant amplitudes of bright fringe to dark fringe is

When a ceiling fan is switched off, its angular velocity falls to \((\frac{1}{3})^{\text{rd}\) while it makes 24 rotations. How many more rotations will it make before coming to rest?

For ideal non-rigid diatomic gas, the value of \(\frac{R}{C_V}\) is nearly \((\gamma = \frac{C_P}{C_V} = \frac{9}{7})\)

Two charges \(q_1 = +6q\) and \(q_2 = -3q\) placed as shown in figure. A proton is placed on x-axis away from \(q_2\). To remain proton in equilibrium, the distance between \(q_1\) and proton is

In the depletion layer of reverse biased p-n junction, the

A thin uniform rod of mass \(m\) and length \(L\) is pivoted at one end so that it can rotate in a vertical plane. The free end is held vertically above pivot and then released. The angular acceleration of the rod when it makes an angle \(\theta\) with the vertical is (consider negligible friction at the pivot) (\(g =\) acceleration due to gravity)

The ratio of angular momentum \(L\) of an electron to the magnetic dipole moment \(\vec{\text{m}}_{\text{orb}}\) is ( '\(m\)' is mass of electron, '\(e\)' is charge on electron)

A string of mass \(0.1\text{ kg m}^{-1}\) has length \(0.9\text{ m}\). It is fixed at both ends and stretched such that it has a tension of \(40\text{ N}\). The string vibrates in three segments with amplitude \(0.3\text{ cm}\). The amplitude (maximum) of the particle velocity is (in \(\text{m/s}\))

Black sphere of radius \(\text{R}\) radiates power \(\text{P}\) at certain temperature \(T\). If the temperature is doubled, the radius gets doubled. Now the power radiated would be

For a common emitter transistor, if \(\frac{I_C}{I_E} = 0.95\), then the current gain is

A series LCR circuit is connected to an a.c. source of \(230\text{ V}, 50\text{ Hz}\). The circuit contains resistance of \(80\Omega\), inductive reactance \(70\Omega\) and capacitive reactance \(130\Omega\). The power factor of the circuit is \(x\). The value of \(x\) is

Two conducting circular loops of radii \(R_1\) and \(R_2\) are placed in the same plane with their centres coinciding. If \(R_1>R_2\), the mutual inductance \(M\) between them will be directly proportional to

The self-inductance of a circuit is numerically equal to

If '\(\lambda_1\)' and '\(\lambda_2\)' are the wavelengths of the first member of the Balmer and Paschen series, in hydrogen atom respectively, then the ratio of respective frequencies, \(f_1/f_2\) , is

When three inductors of same inductance '\(L\)' are connected in series and '\(I\)' is the current passing through the circuit. The energy stored in the circuit is

For a thin prism, \(\delta_1\) is the angle of deviation produced, when prism is placed in air. When the prism is immersed in water, the angle of deviation produced is \(\delta_2\). Given \({}_{\text{a}}\mu_{\text{g}} = \frac{3}{2}\) and \({}_{\text{a}}\mu_{\text{w}} = \frac{4}{3}\) . The ratio \(\delta_2 : \delta_1\) is

Two rods of different materials have lengths '\(l_1\)' and '\(l_2\)' whose coefficient of linear expansions are '\(\alpha_1\)' and '\(\alpha_2\)' respectively. If the difference between the two lengths is independent of temperature then

The plates of a parallel plate capacitor are separated by a distance '\(d\)' with air as the medium between them. A dielectric slab of dielectric constant 3 is introduced between the plates so as to increase the capacity by \(50%\). The thickness of the dielectric slab is

If only \(5%\) of the total current is to be passed through galvanometer of resistance \(\text{G}\) , then the resistance of the shunt will be