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

A stone of mass 3 kg attached at one end of a 2m long string is whirled in horizontal circle. The string makes an angle of 45° with the vertical then the centripetal force acting on the string is ______.

(g = 10 m/s² , tan 45° = 1)

The angular speed of the minute hand of a clock in degrees per second is ______.

A uniform electric field of intensity 400 N/C, exists in a certain region. How much flux will cross a given area of 10 cm² in this region, if the area vector is inclined at 60° to the direction of the field?

A cyclist is riding with a speed of 43.2 km/h. As he approaches a circular turn on the road of radius 60 m, he applies brakes and reduces his speed at constant rate of 1.8 ms^-2. The magnitude of the net acceleration of the cyclist is ______.

When a sonometer wire vibrates in the third overtone, there are ______.

A capacitor is charged by a battery and energy stored is 'U'. Now the battery is removed and the distance between plates is increased to four times. The energy stored becomes ______.

A string of length `l` is fixed at one end and carries a mass 'm' at the other end. The mass is revolving along a horizontal circle of radius 'r' making 'θ' as the semi-vertical angle of cone and `(1/pi)` revolutions per second around the vertical axis through fixed end. The tension in the string is ______.

A glass slab of thickness 4 cm contains the same number of waves as in 'x' cm of water column when both are traversed by the same monochromatic light. If the refractive indices of glass and water for that light are `5/3` and `4/3` respectively, the value of x will be ______.

A charge 'Q' µC is placed at the centre of a cube. The flux through one face and two opposite faces of the cube is respectively ______.

A solid sphere of mass 'M' and radius 'R' is rotating about its diameter. A disc of same mass and radius is also rotating about an axis passing through its centre and perpendicular to the plane but angular speed is twice that of the sphere. The ratio of kinetic energy of disc to that of sphere is ______.

An air-filled parallel plate capacitor has a uniform electric field `overset(->)("E")` in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is ______ 
(∈₀ = permittivity of free space)

A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is ______.

The distance of the Sun from earth is 1.5 × 10¹¹ m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be ______.

Two particles A and B having equal charges are placed at a distance d apart. A third charged particle placed on the perpendicular bisection of AB at distance x. The third particle experiences maximum force when ______.

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is ______.

Two metal wires 'P' and 'Q' of same length and material are stretched by same load. Their masses are in the ratio m₁:m₂. The ratio of elongation of wire 'P' to that of 'Q' is ______.

A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off the angular velocity becomes `(1/4)^"th"` of the original in time 't' and 'n' revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are ______. (Angular retardation is uniform)

A particle moves along a circle of radius r with constant tangential acceleration. If the velocity of the particle is v at the end of second revolution, after the revolution has started, then the tangential acceleration is ______.

A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.

(g = acceleration due to gravity)

Angular speed of hour hand of a clock in degree per second is ______.