List of top Questions asked in MHT CET

A diatomic gas undergoes adiabatic change. Its pressure \( P \) and temperature \( T \) are related as \( P \propto T^x \), where \( x \) is

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is

A radioactive nucleus emits \( \alpha \) particles and \( \beta \) particles in succession. The ratio of number of neutrons to that of protons is \( A = \) mass number, \( Z = \) atomic number

A ray of light travelling through glass of refractive index \( \sqrt{2} \) is incident on glass-air boundary at an angle of incidence 45°. If refractive index of air is 1, then the angle of refraction will be

A light wave of wavelength \( \lambda \) is incident on a slit of width \( d \). The resulting diffraction pattern is observed on a screen at a distance \( D \). If linear width of the principal maxima is equal to the width of the slit, then the distance \( D \) is

Which of the following instruments is \textit{NOT} a direct reading instrument?

A transistor has a voltage gain \( A \). If the amount \( \beta A \) of its output is applied to the input of the transistor, then the transistor becomes oscillator when

An \( \alpha \) particle of energy 10 eV is moving in a circular path in a uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be [mass of \( \alpha \) particle = 4 times mass of proton]

At absolute zero temperature, pure silicon behaves as

In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter so formed is

A thin light weight rod of diamagnetic substance such as silver is suspended in a uniform external magnetic field. It will align itself with its length

Two spherical black bodies of radius \( r_1 \) and \( r_2 \) with surface temperature \( T_1 \) and \( T_2 \) respectively, radiate the same power, then \( \frac{r_1}{r_2} \) is

A body slides down a smooth inclined plane having angle \( \theta \) and reaches the bottom with velocity \( v \). If a body is a sphere then its linear velocity at the bottom of the plane is

The graph of kinetic energy against the frequency \( v \) of incident light is as shown in the figure. The slope of the graph and intercept on X-axis respectively are

A simple pendulum of length \( \ell \) has a bob of mass \( m \). It executes S.H.M. of small amplitude \( A \). The maximum tension in the string is

The magnetic susceptibility of a paramagnetic material at \( -73^\circ \text{C} \) is \( 0.0075 \). Its value at \( -173^\circ \text{C} \) will be

Two wires A and B are stretched by the same load. The radius of wire A is double the radius of wire B. The stress on the wire B as compared to the stress on the wire A is

When wavelength of light used in optical instruments A and B are 4500Å and 6000Å respectively, the ratio of resolving power of A to B will be

The ratio of radii of gyration of a ring to a disc (both circular of same radii and mass), about a tangential axis perpendicular to the plane is

The work done in blowing a soap bubble of radius \( R \) is \( W \). The work done in blowing a bubble of radius \( 2R \) of the same soap solution is

The light of wavelength \( \lambda \) incident on the surface of metal having work function \( \phi \) emits the electrons. The maximum velocity of electrons emitted is

A thin uniform rod has mass \( M \) and length \( L \). The moment of inertia about an axis perpendicular to it and passing through the point at a distance \( \frac{L}{3} \) from one of its ends, will be

The integral \[ \int_0^{\frac{\pi}{2}} \log \left( \frac{\sqrt{1 - \cos 2x}}{\sqrt{1 + \cos 2x}} \right) dx \] is

The approximate value of the function \[ f(x) = x^3 - 3x + 5 \quad \text{at} \quad x = 1.99 \] is

The radius of the circle passing through the points \[ (5, 7), \quad (2, -2), \quad (-2, 0) \] is