List of top Questions asked in MHT CET

Three immiscible transparent liquids with indices \(3/2\), \(4/3\) and \(6/5\) are arranged one above the other. The depths are \(3 \text{ cm}\), \(4 \text{ cm}\) and \(6 \text{ cm}\) respectively. The apparent depth of the vessel is.
A liquid drop splits into \(729\) identical spherical drops. If \(E\) is the original energy and \(U\) is the total resulting energy , then \(E/U = 1/x\). The value of \(x\) is.
In metre-bridge experiment the balance point is obtained if the gaps are closed by \(2 \Omega\) and \(3 \Omega\). A shunt of \(x \Omega\) is added to \(3 \Omega\) resistor to shift the balance point by \(22.5 \text{ cm}\). The value of \(x\) is.
\(500 \text{ gram}\) of a diatomic gas is enclosed at a pressure of \(10^{5} \text{ Nm}^{-2}\). The density of the gas is \(5 \text{ kg m}^{-3}\). The energy of one mole of the gas due to its thermal motion is [consider the gas molecule as a rigid rotator].
All the springs in fig. (a), (b) and (c) are identical, each having force constant \(K\). Mass \(m\) is attached to each system. If \(T_{a}\), \(T_{b}\) and \(T_{c}\) are the time periods of oscillations in fig. (a), (b) and (c) respectively, then:
Two vectors \(a\hat{i} + b\hat{j} + \hat{k}\) and \(2\hat{i} - 3\hat{j} + 4\hat{k}\) are perpendicular. When \(3a + 2b = 7\) , the ratio \(a/b\) is \(x/2\). The value of \(x\) is.
A physical quantity ' \(X\) ' is related to four quantities as \(X = a^2 b^3 c^{5/2} d^{-2}\). The percentage error in 'a', 'b', 'c' and 'd' are \(1%\), \(2%\), \(2%\) and \(4%\) respectively. The percentage error in ' \(X\) ' is.
A coil of area \(3 \text{ m}^{2}\) is at right angles to a magnetic field of \(0.05 \text{ Wb/m}^{2}\). If the field is decreased to \(20%\) of its value in \(10 \text{ s}\) , the induced e.m.f. is.
A radioactive element having half-life (30 min) is undergoing beta decay. The fraction of radioactive element remains undecayed after (90 min) will be
A vessel completely filled with water has two holes 'P' and 'Q' at depths '(2h)' and '(8h)' from the top respectively. Hole 'P' is square of side '(a)' and hole 'Q' is a circle of radius '(r)'. If the water flowing out per second from both is same, then side '(a)' is
A black body has maximum wavelength ' (\lambda_{m}) ' at temperature (2000 K). Its maximum wavelength at (3000 K) will be
The relation between efficiency ((\eta)) of Carnot engine and coefficient of performance ((\beta)) of refrigerator is
The moment of inertia of a thin uniform rod of mass ' (M) ' and length ' (L) ', about an axis perpendicular to length and at a distance ' (L/4) ' from one end is
The potential difference across the (4 \muF) capacitor in the following circuit is
A wire of length '(L)' carries a current '(I)'. If the wire is turned into a square coil of single turn, the maximum magnitude of the torque in a given magnetic field ((\vec{B})) is
A photosensitive surface has work function (\phi). If photon of energy (3\phi) falls on this surface, the electron comes out with maximum velocity of (4 \times 10^6 m/s). When photon energy is increased to (7\phi) then maximum velocity will be
A stone of mass '(m)' kg is tied to a string of length '(L)' m and moved in a vertical circle of radius (49 cm) in a vertical plane. If it completes (30) revolutions per minute, the tension in the string when it is at the lowermost point is nearly [Take (\pi^2 = 10) and (g = 10 m/s^2)]
The liquid (mercury) meniscus in capillary tube will be convex if the angle of contact is
A (2.5 V) battery is connected to a potentiometer wire. A cell of e.m.f. (1.08 V) is balanced by the voltage drop across (2.16 m) of wire. The length of the potentiometer wire is
An electric dipole of length \(2 \text{ cm}\) is placed at \(60^{\circ}\) to a uniform electric field of \(10^{5} \text{ N/C}\). If it experiences a torque of \(9\sqrt{3} \text{ Nm}\), the magnitude of the charge is:
Two inductors of \(80 \text{ mH}\) each are joined in parallel. If the current is \(2.1 \text{ A}\), the energy stored in the combination is
An open organ pipe and closed organ pipe of same length produce \(2\) beats per second in fundamental mode. The length of open pipe is made half and that of closed pipe is doubled. The number of beats produced per second will be:
A person observes two moving trains. First reaching the station and another leaves the station with equal speed of \(30 \text{ m/s}\). If both trains emit sounds of frequency \(300 \text{ Hz}\), difference of frequencies heard by the person will be (speed of sound in air \(330 \text{ m/s}\))
A beam of light of intensity \(I_0\) falls on a system of three polaroids such that each pass axis is turned through \(60^{\circ}\) with respect to preceding one. The fraction of intensity that passes through is:
The angular momentum of a rotating body is '\(L\)'. When frequency is tripled and kinetic energy is made one-third, the new angular momentum becomes