List of top Questions asked in MHT CET

The equation of a plane progressive wave is \(Y=0.025\,\sin (100t+0.25x)\). The frequency of this wave would be
Two particles of charges \(q_{1}=8q\) and \(q_{2}=-2q\) are placed as shown in figure. At what point away from \(q_{2}\) on x-axis can a proton be placed placed so that it is in equilibrium?
The equation of a stationary wave along a stretched string is \(y=5\,\sin \frac{\pi x}{3}\cos 40\pi t\) where \(x\) and \(y\) are in cm and \(t\) in second. The separation between two adjacent nodes is
Two closed organ pipes A and B have the same length and A is wider than B. They resonate in the fundamental mode at frequencies \(n_{A}\) and \(n_{B}\) respectively, then
A uniform rope of mass \(0.1\) kg and length \(2.5\) m hangs from ceiling. The speed of transverse wave in the rope at upper end and at a point \(0.5\) m distance from lower end will be (\(g=10\) m/s\({}^{2}\))
The maximum velocity and maximum acceleration of a particle performing a linear S.H.M. are \(\alpha\) and \(\beta\) respectively. Then, path length of the particle is
A particle starts oscillating simple harmonically from its equilibrium position with time period T. The ratio of kinetic energy to potential energy of the particle at time \(t=T/12\) is
The period of oscillation of a simple pendulum is \(T=2\pi \sqrt{\frac{l}{g}}\) where \(l\) is about \(100\) cm and has \(1\) mm accuracy. The period is about \(2\) s. The time of \(100\) oscillations is measured by a stopwatch of least count \(0.1\) s. The percentage error in '\(g\)' is (gravitation acceleration)
A particle executes S.H.M. with time period \(16\) s. At time \(t=2\) s, the particle crosses the mean position while at \(t=4\) s, velocity is \(4\) m/s. The amplitude of motion (in m) is \(\left(\sin 45^{\circ }=\frac{1}{\sqrt{2}}\right)\)
The power radiated by a black body is P and it radiates maximum energy at wavelength \(\lambda _{0}\). If the temperature of the black body is now changed so that it radiates maximum energy at wavelength \(\frac{3\lambda _{0}}{4}\), the power radiated by it becomes nP. The value of n is
Arrange the correct order of P-V diagrams in thermodynamics for an isothermal process, isobaric process, isochoric process and adiabatic process
At constant temperature, the volume of a gas is to be decreased by 4%. The pressure must be increased by
If the ratio of molar heat capacities \(\frac{C_{p}}{C_{v}}=\gamma\) then the ratio of \(\frac{\Delta Q}{\Delta U}\) and \(\frac{\Delta Q}{\Delta W}\) in an isobaric process is
Heat required to raise the temperature of 2 mol of an ideal gas at constant pressure from \(25^{\circ }\)C to \(35^{\circ }\)C is 310 J. The amount of heat required to raise the temperature of the gas through the same range at constant volume is
(\(R=8.3\) J/mol K)
The excess pressure inside a spherical drop of water is four times that of another drop. Then, their respective mass ratio is
A metal rod (A) of length \(20\) cm expands by \(0.075\) cm when its temperature changes from \(0^{\circ }\)C to \(100^{\circ }\)C. Another metal rod (B) of different metal of same length expands by \(0.045\) cm for same temperature change. A third rod of same length is composed of 2 parts, one of metal A and another of metal B. For same temperature change, this rod expands by \(0.060\) cm. The portion made of metal A has the length
A solid sphere is rotating about a diameter at an angular velocity \(\omega\). If it cools so that its radius reduces to \(\left(\frac{1}{n}\right)^{\text{th}}\) of its original value, its angular velocity becomes
A frame made up of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 25% the energy of the soap film will be changed by
In air, a charged soap bubble of radius R breaks in to 27 small soap bubbles of equal radii r. Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small soap bubble is
The magnitude of gravitational field at distances \(r_{1}\) and \(r_{2}\) from the centre of a uniform sphere of radius R and mass M are \(I_{1}\) and \(I_{2}\) respectively. Given that \(r_{1}>R\text{ and }r_{2}\lt R\), the ratio \(\frac{I_{1}}{I_{2}}\) is
If the initial velocity of projection be doubled, keeping the angle of projection same, the maximum height reached by it will
A stone of mass m is tied to a string and is moved in a vertical circle of radius r making 'n' r.p.m. The total tension in the string when the stone is at the lowest point is (\(g\) = acceleration due to gravity)
A particle of mass m is projected with velocity V making an angle of \(45^{\circ }\) with the horizontal. The magnitude of the angular momentum of the projectile about an axis of projection when the particle is at maximum height h is (\(g\) = acceleration due to gravity) \(\left(\sin 45^{\circ }=\frac{1}{\sqrt{2}}\right)\) \(\left(\cos 45^{\circ }=\frac{1}{\sqrt{2}}\right)\)
Three identical blocks A, B and C are placed on a horizontal frictionless surface. The blocks B and C are at rest. Block A is approaching towards B with a speed \(10\) m/s. The coefficient of restitution for all collisions is \(0.5\). The speed of block C just after collision is
The resultant \(\vec{R}\) of \(\vec{P}\) and \(\vec{Q}\) is perpendicular to \(\vec{P}\). Also \(|\vec{P}|=|\vec{R}|\). The angle between \(\vec{P}\) and \(\vec{Q}\) is
(\(\tan 45^{\circ }=1\))