If a young man rides his motorcycle at 25 km/hour, he had to spend Rs. 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs. 5 per km. He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance , he can travel within one hour. Express this as an LPP and solve it graphically

Anonymous User Maths Linear Programming 28 Mar, 2020 76 views

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items. A fan and sewing machine cost Rs. 360 and Rs. 240 respectively. He can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell whatever he buys, how should he invest his money in order to maximize his profit? Trans late the problem into LPP and solve it graphically

Anonymous User Maths Linear Programming 28 Mar, 2020 84 views

Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants

Anonymous User Maths Linear Programming 28 Mar, 2020 66 views

A company has two plants to manufacture motor cycles. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, Is found to be of standard quality. Find the probability that it has come out from the second plant?

Anonymous User Maths Linear Programming 28 Mar, 2020 66 views

An object starts at the origin in a straight line. Its velocity versus time graph is shown in the figure. Which one of the following choices best gives the proper intervals(s) of time for which the object is moving away from the origin? Anonymous User Physics 27 Mar, 2020 91 views

Two identical discs of mass m and of radius R touch each other and move with the same velocity perpendicularly to the line segment which joins their centres of mass, along the surface of a horizontal smooth tabletop. There is a third disc of mass M and of radius R at rest, at a point on the perpendicular bisector of the line segment joining the centres of mass of the two moving discs as shown in the figure. The two moving discs collide elastically with the third one, which is at rest. There is no friction between the rims of the discs. What should the ratio of M/m be in order that after the collision the two discs of mass m move perpendicularly to their initial velocity? Anonymous User Physics 27 Mar, 2020 70 views    Anonymous User Physics 27 Mar, 2020 57 views  Anonymous User Physics 27 Mar, 2020 53 views  Anonymous User Physics 27 Mar, 2020 55 views

A triangular frame consists of three identical rods, each of mass m and length l. It rests upright on a horizontal smooth surface with its lower right corner against a stop about which the frame could pivot. A horizontal force of magnitude F is applied to the upper corner of the
frame as shown in the figure. What is the largest value of F may have without causing the frame to pivot upward about the stop? Anonymous User Physics 27 Mar, 2020 63 views  Anonymous User Physics 27 Mar, 2020 54 views  Anonymous User Physics 27 Mar, 2020 58 views

A particle is moving along straight line such that dot product of its acceleration and velocity is negative. How many times particle can be found at a distance d from the origin?

Anonymous User Physics 27 Mar, 2020 68 views

A uniform, solid cylinder having mass M and radius R is pulled by a horizontal force F acting through the center as shown. The cylinder rolls to the right without slipping. What is the magnitude of the force of friction between the cylinder and the ground? Anonymous User Physics 27 Mar, 2020 57 views

An object of mass M starts from rest at the bottom of a fixed incline of height H. A person decides to push the object up the incline in one of two ways with an applied force shown in the diagram. In each of the trials, the object reaches the top of the incline with speed V. How would the work done by the person on the block compare for the two trials? Assume the same constant non-zero coefficient of kinetic friction between the incline and the object for both trials. Anonymous User Physics 27 Mar, 2020 126 views

The position versus time graph of a particle moving along a straight line is shown. What is the total distance travelled by the particle from t = 0 s to t = 10s? Anonymous User Physics 27 Mar, 2020 57 views

A wedge of mass M= 10kg, height h= 3m and angle of inclination is at rest at horizontal surface. There is a small point – like object (mass m = 0.5kg) next to the slope as shown in the figure. At what acceleration must wedge be moved in order that the point like object reaches its top in a time t = 5s (Neglect the friction between point like object and wedge) Anonymous User Physics 27 Mar, 2020 89 views

Ram pushes eight identical blocks on the horizontal frictionless surface with horizontal force F. The force that block-1 exerts at block-2 has magnitude and the force that block-7 exerts on the block-8 is   Anonymous User Physics 27 Mar, 2020 70 views

Find velocity of piston A in the given situation if angular velocity of wheel of radius R is (constant), in the clockwise sense. (O is fixed point) Anonymous User Physics 27 Mar, 2020 84 views

An ideal string-pulley system is shown in the figure and system is released from rest. Choose correct option.

Anonymous User Physics 27 Mar, 2020 85 views

A two stage rocket is fired vertically upward from rest with acceleration as shown in a-t graphs. After 15 sec, the first stage burns out and second stage ignites. Choose the INCORRECT statement regarding motion of rocket in the time interval  Anonymous User Physics 27 Mar, 2020 94 views

One end of a heavy uniform rod AB can slide along rough horizontal guiding surface CD with the help of massless ring as shown in the figure. The dimension of ring is negligible. BE is the ideal string. If is right angle and is the angle between rod AB and horizontal when the rod is on the verge of sliding. Find the coefficient of friction between ring and horizontal guiding surface CD. Anonymous User Physics 27 Mar, 2020 453 views

A man of mass 60 kg hangs himself from a massless spring balance, which itself suspended from an ideal string-pulley system as shown in the
figure. The string AB can bear maximum 900 N. Choose correct statement. Anonymous User Physics 27 Mar, 2020 181 views

A uniform solid hemisphere of radius 10 m and mass 64 kg is placed with its curved surface on the smooth horizontal surface and a string AB of length 4m is attached to point A on its rim as shown in the figure. Find the tension in the string if hemisphere is in equilibrium. Anonymous User Physics 27 Mar, 2020 58 views

A uniform rod of mass M and length L is free to rotate about a frictionless pivot located L/3 from one end. The rod is released from rest incrementally away from being perfectly vertical, resulting in the rod rotating clockwise about the pivot. When the rod is horizontal, what is the magnitude of the tangential acceleration of its center of mass? Anonymous User Physics 27 Mar, 2020 57 views

An object is being pushed at constant speed on an inclined plane. The free body diagram of the object is shown with the gravitational force represented by W, the friction force by f, the applied external push parallel to the incline by F, and the normal force with surface by N. Which one of the following choices represents correct relationships between the forces? Anonymous User Physics 27 Mar, 2020 55 views

A string of mass m (can be non uniform as well) is suspended through two points which are not in same horizontal level. Tension in the string at the end points are T1 and T2 and at the lowest point is T3. Mass of string in terms of T1, T2 and T3 can be represented a {uniform gravity ‘g’ exists downwards) Anonymous User Physics 27 Mar, 2020 162 views

All the blocks are attached to an ideal rope which passes over an ideal pulley. If accelerations of blocks m1, m2, m3, and m4 are a1, a2, a3 and a4 respectively then choose the correct option.  Anonymous User Physics 27 Mar, 2020 91 views

A massless spring of stiffness 400 N/m is fastened at left end to a vertical wall as shown in the figure I. Initially block C of mass 2 kg and block D of mass 5 kg rest on horizontal surface with block C in contact with spring (But not compressing it.) and the block D in contact with block C. Block C is moved leftward, compressing spring by a distance of 0.5 m and held in place while block D remains at rest as shown in the figure.

Now Block C is released block D. The surface is rough and the coefficient of friction between each block and surface is 0.1. The block collide instantaneously stick together and move right. Find the velocity of combined system just after collision. Anonymous User Physics 27 Mar, 2020 54 views

Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is

Anonymous User Maths Statistics 27 Mar, 2020 91 views

Let x1, x2, ...., xn be n observations such that and .Then a possible value

of n among the following is

Anonymous User Maths Statistics 27 Mar, 2020 92 views

Consider the following statements :
(1) Mode can be computed from histogram

(2) Median is not independent of change of scale

(3) Variance is independent of change of origin  and scale.

Which of these is/are correct?

Anonymous User Maths Statistics 27 Mar, 2020 61 views

In an experiment with 15 observations on x, the following results were available. One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

Anonymous User Maths Statistics 27 Mar, 2020 76 views

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

Anonymous User Maths Statistics 27 Mar, 2020 58 views

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then what will be the distance covered by the smaller body just before the collision?

Anonymous User Physics Gravitation and Projectile 27 Mar, 2020 96 views

The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, what will be the new time period?

Anonymous User Physics Gravitation and Projectile 27 Mar, 2020 56 views

## For the given uniform square lamina ABCD, whose centre is O, For the given uniform square lamina ABCD, whose centre is O, Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 72 views

A  round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle with the horizontal. Then what will be its acceleration?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 61 views

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is from the centre of the bigger disc. What is the value of ?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 67 views

Four point masses, each of value m, are placed at the corners of a square ABCD of side l. What will be the moment of inertia of this system about an axis through A and parallel to BD?

Anonymous User Physics Circular and Rotational Motion 27 Mar, 2020 74 views