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

The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down without slipping is ______.

If x = at + bt², where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is ______.

A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6m/s. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be ______.

(Force constant of the spring = 36 N/m)

Out of the following which statement is NOT true about black body radiation?

If there is a change of angular momentum from 1 j-s to 4j-s in 4 s, then the torque

Infinite charges of magnitude q each are lying at x = 1, 2, 4, 8 ... metre on X-axis. The value of the intensity of the electric field at point x = 0 due to these charges will be ______

Three-point masses each of mass 'm' are kept at the corners of an equilateral triangle of side 'L' The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to ______.

`(cos 30^circ = sin 60^circ = sqrt3/2)`

A force of -F `hat "k"` acts on the origin of the coordinate system. The torque about the point (2, - 1) is ____________.

In a region where intensity of electric field is 5 NC^-1, 40 lines of electric force are crossing per square metre. The number of lines crossing per square metre where intensity of electric field is 10 NC^-1 will be ______

[L² M¹ r^-2] are the dimensions of ______.

Figure shows three forces `vec"F"_1,vec"F"_2` and `vec"F"_3` acting along the sides of an equilateral triangle. If the total torque acting at point 'O' (centre of the triangle) is zero then the magnitude of `vec"F"_3` is ______.

The torque of a force `5hat"i" + 3hat"j" - 7hat"k"` about the origin is τ. If the force acts on a particle whose position vector is `2"i" + 2hat"j" + hat"k"`, then the value of τ will be ______.

A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be ______.

The torque of force F = `-3hat"i"+hat"j"+5hat"k"` acting on a point r = `7hat"i"+3hat"j"+hat"k"` about origin will be ______.

A 1 kg stone attached to the end of a 60 cm chain is revolving at the rate of 3 rev/s. If after 30 s, it is making only 1 rev/s. Find the mean torque acting on it.

10 One mole of a van der Waals' gas obeying the equation `("P" + "a"/"V"^2)`(V - b) = RT undergoes the quasi-static cyclic process which is shown in the P-V diagram. The net heat absorbed by the gas in this process is ______

The moment of the couple is independent of ______

Let σ and b be Stefan's constant and Wien's constant respectively, then dimensions of σb are ______.

The force 'F' acting on a body of density 'd' are related by the relation F = `"y"/sqrt"d"`. The dimensions of 'y' are ______.

A black rectangular surface of area 'A' emits energy 'E' per second at 27 °C. If length and breadth are reduced to `1/2` of initial value and 2 temperature is raised to 327 °C then energy emitted per second becomes ______.