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Complete the cross word by filling either left to right or vertically the unit of appropriate physical quantity. A uniform wire of length Land mass M is stretched between two fixed points, keeping a tension force F. A sound of frequency jj. Which of the following equations can be dimensionally incorrect. Symbol have their usual notations. The constant a A is dimensionless C has dimensions T 2. A gas bubble oscillates with a time period T proportional to P d E where P is pressure, d is the density and E is the energy.
If the unit of length be doubled then the numerical value of the universal gravitation constant G will become with respect to present value A double. What are the SI units of the constants C, and C 2?
Match the following:. Find the values of a, b and c. Tn two fwn systems svQtpmc of nf units, unite the tbp relation relation between hptwwn velocity, vplnr. If K represent kinetic energy, v velocity and 7'time and these are chosen as the fundamental units then find the dimension ofsuiTaee tension in terms of K, V, T.
Their resultant cannot be in A North B East. A force of 6kg and another of 8kg can be applied together to produce the effect of a single force of: A l k g B 11 kg C 15 kg D 20 kg. The angle subtended by the moon's diameter at a point on the earth is about 0. Use this and the fact that the moon is about M m away to find the diameter of the moon. Find the velocity of rain with respect to man and its angle with the vertical using the concept that relative velocity of B w.
The x and y components ofvector A are 4m and 6mrespectively. The length of B is x axis is given by. Choose the option, whose pair doesn't have same dimensions. ABCD is a quadrilateral. Their resultant is A 2 AB. A vector b which has a magnitude 8. Aconstant force of 34N acts in the direction Boat And Stream Problems Pdf Ubuntu of AP.
When two Boat And Stream Problems Pdf Verifications vectors of magnitudes P and Q are inclined at an angle 0 the magnitude of their resultant 2P. When the inclination is changed to - 9 the magnitude ofthe resultant is halved. A particle of mass 10 kg moves in x-y plane such that its coordinates are given by 5t 2 ,15t 2. Find acceleration vector of the particle this acceleration is produced by three forces. They are acting in the direction shown in the figure. Find the rnagnitude of forces F t and F 2.
The work done is 36 joule. Find the value s o f ' c'. Find the total displacement of the man just after 7 such turns. A particle moves along a straight line such that at time t its displacement from a fixed point O on the line is � 2.
Find the magnitude and direction of their resultant. Show that energy, density and power form a fundamental system of units. Find the dimensional formula of universal gravitational constant G in this system. The area ' A of a blot of ink is growing such that after t sec. The motion of a particle in a straight line is defined by the relation x - 1 4 - 12t2 - 40 where x is in metres and t is in sec.
Then in this system, 1N represents: 5 A - units of force. A particle moves in the xy plane and at time t is at the point whose coordinates are t2, t3 - 2t. Then at what instant of time will-its velocity and acceleration vectors be perpendicular to each other? The speed of the particle is : A Find times when the particle crosses x-axis and position of body at these times a time when velocity is perpendicular to acceleration, b momentum of the particle at this instant.
At what times is its velocity equal to zero? Draw a diagram showing the forces acting on the object and resolve each force parallel and perpendicular to the string. If instead of mass length and time as fundamental quantities we choose velocity, acceleration and force as fundamental quantities and express their dimensional symbols as V, A and F repectively. Show that the dimensions ofYoung's modulus can be expressed as FA2V ' 4.
TIME: 60 Min. DPR N0. Which of the following forces cannot be a resultant of 5N force and 7N force? The velocity of a particle moving in straight line is given by the graph shown here. Then its acceleration is best represented by. Calculate the work done by the force.
Find the times at which the angular velocity of the disc is zero. Its angular acceleration at these times. Find the velocity of the particle at the initial time. Find the component of its acceleration in the direction of velocity at time t. Find angle between velocity vector and acceleration vector at time t.
Velocity time graph of a particle is in shape of a semicircle of radius R as shown infigure. Use the vector method tofindthe resultant force. A wheel rotates so that the angle of rotation is proportional to the square of time. The first revolution was performed by the wheel for 8 sec.
A particle ofmass 10 kg moves in x-y plane such that its position is given by 3 sin t, 4 cos t. Find the magnitude of the rate of change of a. Find the path covered by the point during 10 seconds from the start.
TIME: Q. A solid angle and unit vector B potential energy and torque C area x velocity and rate of change ofvolume with time D none of these Q. The net fbrce acting on body is zero at:. The initial velocity of a particle is u and the acceleration is given by kt , where k is a positive constant.
The velocity-time graph is best given by. The slope ofthe velocity diaplacement graph of a particle moving along a staight line is 10 units at a position where velocity is 5 units. The acceleration ofthe particle at that position is units. Afishing boatis anchored 9km awayfromthe nearest point on shore. Amessenger must be sent from the fishing boat to a camp, 15km from the point on shore 9 km closest to the boat.
If the messenger can walk at a speed of Camp 5km per hour and can row at 4km per hour. Determine the velocity and displacement as function of time. Find the velocity as a function of time and the distance between the position of the particle at time zero and time 4.
DPR NO. Which ofthe following statements are true with respect to the motion A in the motion between O and A the velocity is positive and acceleration is negative B between A and B the velocity and acceleration are positive C between B and C the velocity is negative and acceleration is positive D between D and E the acceleration is positive Q.
Magnitude ofresistance force offered to the boat is equal to rV. V is instantaneous speed. What is the total distance covererd till it stops completely? The velocity of a certain particle moving along the x axis is proportional to x.
Initially the particle is at O, afixedpoint on the line, with velocity u. Find in terms of u the time at which the velocity is zero and the displacement ofthe particlefromO at this time. L Two forces P and Q act at a point and have resultant R. If Q is replaced by � acting m the direction opposite to that of Q, the resultant A remains same B becomes half. B is the mid point ofAC. The greatest acceleration or deceleration that a train may have is a.
The minimum time in which the train may reach from one station to the other separated by a distance d is. Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes.
What is the period T of the bus service? Assume that velocity of cyclist is less than velocity of bus A 4. Ifenergy, density andpowerforma fundamental system ofunits. Find the dimensional formula of momentum in terms of these quantities. Determine the position ofthe locomotive relative to the traffic light 1 min after the annlication of the brakes if its acceleration is If the resultant of two forces of magnitudes P and 2P is perpendicular to R then the angle between the forces is
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