List of top Questions asked in MHT CET

A body sends waves \(150\) mm long through medium P and \(0.30\) m long in medium Q. If the velocity of wave in medium P is \(80\) cm/s, the velocity of wave in medium Q in m/s is

There are two wires vibrating with same frequency of \(500\) Hz. Tension in one wire is increased by 'x' % so that \(5\) beats per second are heard. The value of 'x' in % is

A pipe open at both ends has length \(1\) m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air \(=340\) m/s)

An electric charge of magnitude '\(2e\)' and mass '\(2m\)' is moving in an electric field 'E'. The acceleration imparted to the charge is

A simple pendulum performs simple harmonic motion about \(x=0\) with an amplitude 'A' and angular frequency \(\omega\). The speed of pendulum at \(x=\frac{A}{8}\) will be.

A spring of force constant \(180\) N/m is loaded with a mass \(0.20\) kg. The amplitude of oscillations is \(4\) cm. When mass comes to equillibrium position, its velocity in m/s is

The bob of a simple pendulum is a hollow sphere with a small hole in the bottom. It is filled with sand and set into oscillation. Its periodic time (T) is measured at regular intervals. As the sand starts coming out we find that.

An ideal gas having pressure P, volume V and temperature T undergoes a thermodynamic process in which \(dW=0\) and \(dQ\lt 0\). Then, for the gas

Two vibrating metal wires of the same material of length 'L' and '3L' and have radii '2r' and 'r' respectively. They are stretched under same tension. Both the wires vibrate in their fundamental modes. The ratio \(\frac{n_{1}}{n_{2}}\) is [\(n_{1}\) and \(n_{2}\) are the frequencies of first and second wire respectively]

Two bodies 'X' and 'Y' at temperatures \(T_{1}\) K and \(T_{2}\) K respectively have the same dimensions. Their emissivities \(e_{1}\) and \(e_{2}\) are in the ratio of \(1:6\). If their emissive powers are same, the relation between their temperatures is

\(540\) gram of ice at \(0^{\circ }\)C is mixed with \(540\) gram of water at \(90^{\circ }\)C. The final temperature of the mixture will be [Latent heat of fusion of water = 80 cal/g]

Temperature of two stars are in the ratio \(3:2\). If wavelength of maximum intensity of first star is \(4200\text{Å}\), the corresponding wavelength for second star is

In case of 'free expansion', which one of the following statements is 'WRONG'?

Identify the INCORRECT statement about the black body radiation

Water rises to a height of \(2.2\) cm in glass capillary tube. The height to which water will rise in another capillary having one-fourth area of cross-section as that of the first is.

If a capillary tube is immersed in water, rise of water in capillary is \(h_{1}\). When the whole arrangement is taken to a depth \(d\) in a mine, the water level rises to \(h_{2}\). The ratio \(\frac{h_{2}}{h_{1}}\) is (R=radius of earth)

\(729\) water droplets of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

The geostationary satellite is revolving round the earth of mean radius \(R\). If \(g\) is the acceleration due to gravity at earth's surface, \(\omega\) is the angular speed of rotation of earth about its own axis and \(r\) is the radius of orbit of a satellite, then the correct relation between \(r\), \(\omega\), \(g\) and \(R\) is

If 'm' is the mass of the body moving with velocity 'v' having kinetic energy 'E', then the linear momentum of the body is

At the corners of an equilateral triangle of side L, point masses, each of mass \(2\) kg are placed. The moment of inertia of the system about an axis along any one side is (in kg\(-\)m\({}^{2}\))

The moment of inertia of two rotating bodies 'X' and 'Y' are \(I_{1}\) and \(I_{2}\) respectively where \(I_{2}>I_{1}\). If \(K_{x}\) and \(K_{y}\) are their rotational kinetic energies and their angular momenta are equal, then

Mass and volume of a body are found to be \((6.00\pm 0.03)\) kg and \((2.00\pm 0.02)\) m\({}^{3}\) respectively. Then the density of the body is

The kinetic energy of light body and a heavy body is same. Which one of the following statement is true?

A body moving with uniform acceleration travel \(16\) m in the third second of its motion and \(24\) m in the fifth second of its motion. The velocity of the body in \(10\) second is

Let \(\vec{P}=\hat{i}+\hat{j}+\hat{k}\) and \(\vec{Q}=-\hat{i}-\hat{j}-\hat{k}\). The angle between \((\vec{P}-\vec{Q})\) and \(\vec{P}\) is