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

A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the ratio 2 : 3 : 4. Their lengths must be ______.

When a 12000 joule of work is done on a flywheel, its frequency of rotation increases from 10 Hz to 20 Hz. The moment of inertia of flywheel about its axis of rotation is ______. (π² = 10)

A capacitor is a device that stores ____________.

If a particle moves with uniform speed then its tangential acceleration will be ______.

If the p. d. across a capacitor is increased from 10 V to 30 V, then the energy stored with the capacitor ____________.

A particle goes round a circular path with uniform speed v. After describing half the circle, what is the change in its centripetal acceleration?

The ratio of angular speed of a hour-hand to the second-hand of a watch is ____________.

Refractive index of a flint glass varies from 1.60 to 1.66 for visible range. Radii of curvature of a thin convex lens are 10 cm and 12 cm. The chromatic aberration between extreme colours is ____________.

The ratio of the angular speed of minute hand and hour hand of a watch is ____________.

A segment of wire vibrates with a fundamental frequency of 450 Hz under a tension of 9 kg weight. The tension at which the fundamental frequency of the same wire becomes 900 Hz is ____________.

A small sphere is attached to a cord and rotates in a vertical circle about a point O. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at ____________.

A convex lens of focal length 'f' is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is ______.

A sonometer wire is in unison with a tuning fork, when it is stretched by weight w and the corresponding resonating length is L₁· If the weight is reduced to `("w"/4)`, the corresponding resonating length becomes L₂. The ratio `("L"_1/"L"_2)` is ______.

A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 8 cm. The centripetal force acting on the particle is 15 N. Its kinetic energy is ____________.

A particle is moving in uniform circular motion with speed 'V' and radius 'R'. The angular acceleration of the particle is ______.

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, the radial force acting on the particle is ______.

Focal length of a convex lens will be minimum for ______.

A circular disc 'X' of radius 'R' made from iron plate of thickness 't' has moment of inertia 'I_x' about an axis passing through the centre of disc and perpendicular to its plane. Another disc 'Y' of radius '3R' made from an iron plate of thickness `("t"/3)` has moment of inertia 'I_y' about the s same as that of disc X. The relation between I_x and l_y is ______.

Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 1.6 km, the acceleration of an object on the equator of the star will be nearly ____________.

A disc has mass 'M' and radius 'R'. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity 'ω' in time t?