List of top Questions asked in MHT CET

Two charged identical metal spheres A and B repel each other with a force \(3\times 10^{-5}\) N. Another identical uncharged sphere C is touched with A and then placed at the mid-point between A and B. Net force on C is \(x\times 10^{-5}\) N. The value of \(x\) is
The speed of a wave on a string is \(150\) m/s when the tension is \(120\) N. The percentage increase in the tension to raise the wave speed by \(20\%\) is
A large insulated sphere of radius \(r\), charged with \(Q\) C is placed in contact with a small insulated uncharged sphere of radius \(r_{1}\) and is then separated. The charge on the smaller sphere will now be
A transverse wave is propagating on the string. The linear density of vibrating string is \(10^{-3}\) kg/m. The equation of the wave is \(Y=0.05\,\sin (x+15t)\) where \(x\) and \(Y\) are in metre and time in second. The tension in the string is
A uniform wire of length \(L\), diameter \(D\) and density \(\rho\) is stretched under tension \(T\). The relation between its fundamental frequency \(f\), length \(L\) and diameter \(D\) is
The gas in a vessel is subjected to a pressure of \(20\) atm. at \(27^{\circ }\)C. Now half of the gas is released from the vessel and the temperature is raised by \(50^{\circ }\)C. The pressure of a gas in a vessel is nearly
The period of S.H.M. of a particle is \(12\)s. The phase difference between the positions at \(t=3\)s and \(t=4\)s will be
The equation of a wave is \(y=0.07\,\sin (12\pi x-3000\pi t)\) where \(x\) is in metre and \(t\) is in second then
A body of mass \(64\) g is made to oscillate turn by turn on two different springs A and B. Spring A and B has force constant \(4\) N/m and \(16\) N/m respectively. If \(T_{1}\) and \(T_{2}\) are the period of oscillations of springs A and B respectively, then \((T_{1}+T_{2})/(T_{1}-T_{2})\) will be
Two simple pendulums, A of mass \(M_{1}\) and length \(L_{1}\), and B of mass \(M_{2}\) and length \(L_{2}\).
\(M_{1}=M_{2}\) and \(L_{1}=2L_{2}\). If vibrational energies of both are same then which one of the following is correct?
The temperature of a black body is increased by \(50\%\) then the percentage increase of radiation is nearly
An iron tyre is to be fitted on to a wooden wheel \(1.0\) m in diameter. The diameter of the tyre is \(6\) mm smaller than that of the wheel. The tyre should be heated so that its temperature increases by a minimum of
(coefficient of volume expansion of iron = \(3.6\times 10^{-5}/^{\circ }\)C)
We consider a thermodynamic system. If \(\Delta U\) is the increase in internal energy and \(W\) is the work done by the system, which one of the following statement is true?
How much heat energy in joule must be supplied to \(14\) g of nitrogen at room temperature to raise its temperature by \(40^{\circ }\)C at constant pressure?
(molecular wt. of nitrogen = \(28\) g, \(R\) = gas constant) (gas is diatomic)
One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown. The change in internal energy of the gas during the transition is
A thin uniform rod of length \(L\) and mass \(m\) is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is \(\omega\). Its centre of mass rises to a maximum height of (\(g\) = acceleration due to gravity)
If terminal speed of a sphere of gold (density = \(19.5\ \text{kg/m}^{3}\)) is \(0.2\) m/s in viscous liquid (density = \(1.5\ \text{kg/m}^{3}\)), find the terminal speed of a sphere of silver (density = \(10.5\ \text{kg/m}^{3}\)) of the same size in the same liquid.
A \(20\) cm long capillary is dipped vertically in water. Water rises to \(8\) cm. If the arrangement is put in a freely falling elevator, the length of water column in capillary tube will be
A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be
The kinetic energy of a revolving satellite (mass \(m\)) at a height equal to thrice the radius of the earth (\(R\)) is (\(g\) = acceleration due to gravity)
A square frame ABCD is formed by 4 identical rods each of mass \(m\) and length \(\ell\). This frame is in XY plane such that side AB coincides with x-axis and side AD along y-axis. The moment of inertia of the frame about x-axis is
A block of mass \(m\) moving on a frictionless surface at speed \(V\) collides elastically with a block of same mass, initially at rest. Now, the first block moves at an angle \(\theta\) with its initial direction and has speed \(V_{1}\). The speed of the second block after collision is
The maximum and minimum tensions in the string whirling in a circle of radius \(2.5\) m are in the ratio \(5:3\) then its velocity is (\(g=10\ \text{m/s}^{2}\))
Angular velocity of hour hand of a watch is (in rad/s)
If \(|\vec{A}\times \vec{B}|=\sqrt{3}(\vec{A}\cdot \vec{B})\) then the value of \(|\vec{A}+\vec{B}|\) is (\(\tan 60^{\circ }=\sqrt{3}\), \(\cos 60^{\circ }=\frac{1}{2}\))