List of top Questions asked in MHT CET

A closed organ pipe and an open organ pipe have their first overtones identical in frequency. Their lengths are in the ratio
In Melde’s experiment, when the tension decreases by \(0.009\,\text{kg-wt}\), the number of loops changes from 4 to 5. The initial tension is
Inside a bar magnet, the magnetic lines of force
Two identical progressive waves moving in opposite directions superimpose to produce a stationary wave. The wavelength of each progressive wave is \( \lambda \). The wavelength of the stationary wave is
Threshold frequency for a metal is \(15 \times 10^{14}\,\text{Hz}\). The light of wavelength \(6000\,\text{\AA}\) falls on the metal surface. Which one of the following statements is correct?
(Velocity of light, \(c = 3 \times 10^8\,\text{m/s}\))
In a system of two particles of masses \(m_1\) and \(m_2\), the second particle is moved by a distance \(d\) towards the centre of mass. To keep the centre of mass unchanged, the first particle will have to be moved by a distance
With what velocity should an observer move relative to a stationary source so that a sound of double the frequency of source is heard by an observer?
Water flows through a horizontal pipe at a speed \(V\). Internal diameter of the pipe is \(d\). If the water is emerging at a speed \(V_1\), then the diameter of the nozzle is
Water rises upto a height \(h\) in a capillary tube on the surface of the earth. The value of \(h\) increases, if the capillary tube apparatus is kept
Magnetization of the sample is
A signal of frequency \(3\,\text{kHz}\) is amplitude modulated on a carrier wave of frequency \(2.5\,\text{MHz}\). The upper and lower sideband frequencies in the resultant signal are
A body of mass \(M\) moving with velocity \(V\) explodes into two equal parts. If one part comes to rest and the other part moves with velocity \(V_0\), what would be the value of \(V_0\)?
At what temperature is the R.M.S. velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^\circ\text{C}\)? (Molecular weight of hydrogen = 2, molecular weight of oxygen = 32)
Earth revolves round the sun in a circular orbit of radius \(R\). The angular momentum of the revolving earth is directly proportional to
If \(N\) is the number of turns in a circular coil, the value of its self-inductance varies as
From a uniform circular thin disc of mass \(9M\) and radius \(R\), a small disc of radius \(\frac{R}{3}\) is removed. The centre of the small disc is at a distance \(\frac{2R}{3}\) from the centre of the original disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through the centre of the original disc is
A biconvex lens (\(R_1 = R_2 = 20\,\text{cm}\)) has focal length equal to the focal length of a concave mirror. The radius of curvature of the concave mirror is (\(\mu\) of glass lens = 1.5)
In the following network, \(I_1=-0.4\,\text{A}\), \(I_4=1\,\text{A}\) and \(I_5=0.4\,\text{A}\). The values of \(I_2\), \(I_3\) and \(I_6\) respectively are
When an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength \( \lambda \). When it jumps from the fourth orbit to the third orbit, the wavelength emitted by the photon will be
In Young’s double slit experiment, the 6th maximum with wavelength \( \lambda_1 \) is at a distance \( d_1 \) from the central maximum and the 4th maximum with wavelength \( \lambda_2 \) is at distance \( d_2 \). Then \( \dfrac{d_1}{d_2} \) is
If \(E\), \(M\), \(L\) and \(G\) denote energy, mass, angular momentum and constant of gravitation respectively, then the quantity \( \left(\dfrac{EL^2}{G^2M^5}\right) \) has dimensions of
A circular coil of radius \(R\) carries an electric current \(I\). The magnetic field due to the coil at a point on the axis of the coil located at a distance \(r\) from the centre of the coil, such that \(r \gg R\), the magnetic field at that point is proportional to
A glass slab of thickness \(4\,\text{cm}\) contains the same number of waves as in \(x\,\text{cm}\) of water column when both are traversed by the same monochromatic light. If the refractive indices of glass and water for that light are \( \frac{5}{3} \) and \( \frac{4}{3} \) respectively, the value of \(x\) will be
A toroidal solenoid with air core has an average radius \(R\), number of turns \(N\) and area of cross-section \(A\). The self-inductance of the solenoid is (Neglect the field variation across the cross-section of the toroid)
The length of a potentiometer wire is \(L\). A cell of e.m.f. \(E\) is balanced at a length \( \frac{L}{5} \) from the positive end of the wire. If the length of the wire is increased by \( \frac{L}{2} \), at what distance will the same cell give a balance point?