MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

A note produces 4 beat/s with a tuning fork of frequency 510 Hz and 6 beat/s with a fork of frequency 512 Hz. The frequency of the note is ______ 

The frequency of two tuning forks A and B are 1.5% more and 2.5% less than that of the tuning fork C. When A and B are sounded together, 12 beats are produced in 1 second. The frequency of tuning fork C is ______ 

According to Abbe, in the formula for resolving power of a microscope, the numerical aperture is represented by ______ 

lf 'I' is the moment of inertia and 'L' is angular momentum of a rotating body, then `L^2/(2I)` is its ______.

Three-point masses each of mass 'M' are placed at the corners of an equilateral triangle of side 'a'. The moment of inertia of this system about an axis passing through one side of a triangle is ______.

Three black discs 'x', 'y', 'z' have radii 1m, 2m, and 3m respectively. The wavelengths corresponding to maximum intensity are 200, 300, and 400 nm respectively. The relation between emissive powers 'E_x', 'E_y' and 'E_z' is ______.

Two black spheres 'P' and 'Q' have radii in the ratio 3 : 2. The wavelengths of maximum intensity radiation are in the ratio 3 : 4 respectively. The ratio of radiated power by 'P' to 'Q' is ______.

Two light waves of intensities 'I₁' and 'I₂' having same frequency pass through same medium at a time in same direction and interface. The sum of the minimum and maximum intensities is ______.

Let x = `[("a"^2"b"^2)/"c"]` be the physical quantity. If the percentage error in the measurement of physical quantities a, b and c is 2, 3 and 4 percent respectively then percentage error in the measurement of x is ______.

In compound microscope, the focal length and aperture of the objective used is respectively ______.

A wheel of moment of inertia 2 kg m² is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 rad/s. Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is ______. 

A disc of moment of inertia 'I₁' is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed 'ω₁'. Another disc of moment of inertia 'I₂' having zero angular speed is placed co-axially on a rotating disc. Now, both the discs are rotating with constant angular speed 'ω₂'. The energy lost by the initial rotating disc is ______.

Wire having tension 225 N produces six beats per second when it is tuned with a fork. When tension changes to 256 N, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be ______.

Resolving power of telescope increases when ______.

A body is rotating about its own axis. Its rotational kinetic energy is x and its angular momentum is y, hence its moment of inertia about the axis is ______.

A particle of mass m = 5 unit is moving with a uniform speed v = 3`sqrt2` unit in the XY-plane along the line y = x + 4. The magnitude of the angular momentum about origin is ______.

The difference in the angular momentum of an electron in two successive orbits of a hydrogen atom is ______.

A sphere rolls without slipping on a rough horizontal surface with centre of mass speed v₀. If mass of the sphere is M and its radius is R, then what is the angular momentum of the sphere about the point of contact?

The angular momentum of the electron in the second orbit of hydrogen atom is L. The angular momentum in the third orbit is ______.

An electric dipole consists of two opposite charges each 0.05 µC separated by 30 mm. The dipole is placed in an unifom1 external electric field of 10⁶ NC^-1. The maximum torque exerted by the field on the dipole is ______