List of top Questions asked in MHT CET

A small mass \( m \) is suspended at the end of a wire having negligible mass, length \( L \) and cross-sectional area \( A \). The frequency of oscillation for the S.H.M. along the vertical line is ( \( Y \) = Young’s modulus of the wire )
An air-filled parallel plate capacitor has a uniform electric field \( E \) in the space between the plates. If the distance between the plates is \( d \) and area of each plate is \( A \), the energy stored in the capacitor is (\( \varepsilon_0 \) = permittivity of free space)
The escape velocity from the surface of earth of mass \( M \) and radius \( R \) is \( V_e \). The escape velocity from the surface of a planet whose mass and radius are 3 times that of the earth will be
Which one of the following symbols represents a photodiode?
An electron and proton are accelerated through the same potential difference. The ratio of their de-Broglie wavelengths \( \lambda_p \) to \( \lambda_e \) is (\( m_e \) = mass of electron, \( m_p \) = mass of proton)
The ratio of frequencies of oscillations of two simple pendulums is \( 3:4 \). Their lengths are in the ratio
Let \( M \) and \( L \) be the mass and length of a thin uniform rod respectively. In the first case, the axis of rotation passes through the centre and is perpendicular to its length. In the second case, the axis of rotation passes through one end and is perpendicular to its length. The ratio of radii of gyration in first case to second case is
The magnetic moment produced in a sample of 2 grams is \( 8 \times 10^{-7} \,\text{A m}^2 \). If its density is \( 4\,\text{g cm}^{-3} \), then the magnetization of the sample is
A sonometer wire resonates with a given tuning fork forming standing waves with 5 antinodes when mass of 9 kg is suspended from the wire. When mass \( M \) is suspended from the wire with same fork and same length between two bridges, 3 antinodes are formed. The mass \( M \) is
In any Bohr orbit of hydrogen atom, the ratio of kinetic energy to potential energy of revolving electron at a distance \( r \) from the nucleus is
A vector \( \vec{A} \) when added to the sum of the vectors \( (\hat{i}-2\hat{j}+2\hat{k}) \) and \( (-2\hat{i}+\hat{j}-\hat{k}) \) gives a unit vector along y-axis. The magnitude of vector \( \vec{A} \) is
The angular speed of the minute hand of a clock in degrees per second is
The excess pressure inside the first soap bubble of radius \( R_1 \) is two times that inside the second soap bubble of radius \( R_2 \). The ratio of volumes of the first bubble to that of the second bubble is
A double slit experiment is immersed in water of refractive index \( 1.33 \). The slit separation is \( 1\,\text{mm} \), distance between slit and screen is \( 1.33\,\text{m} \). The slits are illuminated by light of wavelength \( 6300\,\text{\AA} \). The fringe width is
The angle between two forces of equal magnitude \( R \), if the magnitude of their resultant is \( \dfrac{R}{2} \), is
Two wires of same material are vibrating under the same tension. If the first overtone of first wire is equal to the second overtone of second wire and radius of first wire is twice the radius of the second wire, then the ratio of length of first wire to second wire is
If the number of turns in the coil of a galvanometer are decreased, then the resistance of galvanometer
Let the r.m.s. velocity of molecules of a given mass of gas be \( C_1 \) at temperature \( 27^\circ\text{C} \). When the temperature is increased to \( 327^\circ\text{C} \), the r.m.s. velocity is \( C_2 \). Then the ratio \( \dfrac{C_2}{C_1} \) is
In the case of spherical mirrors, the images formed on the side of the object and images formed on the opposite side are respectively
The refractive index of a medium is \( \mu = A + \dfrac{B}{\lambda^2} \), where \( A \) and \( B \) are constants and \( \lambda \) is the wavelength of light. The dimensions of \( B \) are same as that of
In a potentiometer experiment, cells of e.m.f. \( E_1 \) and \( E_2 \) are connected in series (\( E_1>E_2 \)). The balancing length is 64 cm. If the polarity of \( E_2 \) is reversed, the balancing length becomes 32 cm. The ratio \( \dfrac{E_1}{E_2} \) is
According to theoretical study of radiation from the same linear antenna, the power radiated is proportional to ( \( \lambda \) = wavelength )
A network of four capacitors is connected to a battery as shown. The ratio of the charges on capacitors \( C_2 \) and \( C_4 \) is
Using Einstein’s photoelectric equation, the graph between the kinetic energy \( E \) of photoelectrons emitted and the frequency \( \nu \) of incident radiation is shown correctly in figure
A body initially at rest is acted upon by a constant force \( F \) for time \( t \). The kinetic energy at time \( t \) is