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Find me on Facebook: Maher Afrasiab. Next Prev Post. Previous Next Post. Write comments. It is because of the reason that the factor 3. Therefore the answer should be written to the three significant figures. It is because of the reason that the factor Thus, the answer should be rounded off to one decimal place.
It is because of the reason that the factor 4. Thus, the answer should be rounded off to two decimal places. Differentiate among precision and accuracy. Precision i The precise measurement is one which has. Which of the following measurement is more precise and which of them is mare accurate. The measurement ii is more precise because it has less absolute uncertainty. The measurement i is more accurate as it has less percentage uncertainty. Assess the total uncertainty in the final result for following cases i.
Determine the resistance of conductor. The six measurements were taken of the diameter of wire using screw gauge which are 1. Determine the uncertainty in final result. The simple pendulum completes 30 vibrations Find out uncertainty in the time period of simple pendulum.
Deviation of each measurement from average value are 0. To express any physical quantity in by scientific symbols of corresponding base quantities,. Write down the dimensions of velocity, acceleration and force? What are the advantages of dimension analysis? The dimension analysis may be used for i Checking the correctness of a physical equation ii Deriving a possible formula of a physical quantity Q What is homogeneity principle?
According to homogeneity principle If the dimensions of a physical quantity on both sides of equation are the same, then the equation will be dimensionally correct. Write down any two drawbacks of dimension analysis? The major drawbacks of dimension analysis are i The dimension analysis is unable to find the values of various constant in physical equations. Determine the dimension of following physical quantities? Name several repetitive phenomenon occurring in nature which can serve as reasonable time standards.
Any natural phenomenon that repeats itself after exactly same time interval can be used as time standard. The following natural phenomenon can be used as time standard.
The rotation of earth around the sun and about its own axis The rotation of moon around earth Atomic vibrations in solids Q 2. Give the drawbacks to use the time period of a pendulum as a time standard. The time period of the simple pendulum depends upon its length and value of g gravitational acceleration at any place. Therefore, the drawbacks to use the time period of a pendulum as a time standard are The value of g changes at different places The variation in the length of simple pendulum due to change in temperature in different seasons Air resistance may affect the time period of simple pendulum Q 3.
Why we use it useful to have two units for the amount of substance, the kilogram and the mole? The kilogram and mole are the units to determine the amount of a substance. Both units are useful in different cases describe below The unit kilogram is useful when we want to describe the macroscopic behavior of an object without considering the interaction between the atoms present in it The unit mole is useful when we want consider a fix number of atoms of a system.
It is used to determine the microscopic behavior of any object. Three students measured the length of a needle with a scale on which minimum division is 1 mm and recorded as i 0.
Which record is correct and why? The record iii is correct.
So the reading must be taken up to three decimal places. Therefore, the reading 0. An old saying is that A chain is only as strong as its weakest link. What analogous statement can you make regarding experimental data used in computation? The analogous statement for experimental data used in computation will be A result obtained by mathematical computation of experimental data is only as much accurate as its least accurate reading in measurements.
The time period of the simple pendulum is measured by a stop watch. What type of errors are possible in the time period? Does the dimensional analysis gives any information on constant of proportionality that may appear in an algebraic expression.
Dimension analysis does not give any information about constant of proportionality in any expression. This constant can be determined experimentally of theoretically. In the expression of time period of simple pendulum, the constant of proportionality cannot be determined from dimension analysis.
What are the dimensions of i Pressure ii Density i. The wavelength of a wave depends on the speed of the wave and its frequency. Flag for inappropriate content. Related titles. Compare the main characteristics of scalar and vector product. Scalar Product. Describe the right hand rule. According to right hand rule, the right hand is placed on the first vector and fingers are curled towards the second vector, keeping the thumb erect. The erected thumb will give the direction of product vector.
Define the term torque. The turning effect of a force is called torque. The torque H acting on a body under the action of force A is described as H Where.
Anticlockwise torque is taken as positive, while the clockwise torque is considered as negative. Derive the expression for torque produce in a rigid body under action of any force.
Let the force A acts on rigid body at point whose position vector relative to pivot O is r. We want to find out the expression torque about point O acting on the rigid body due to force A.
Define the term equilibrium. Write down different types of equilibrium. A body is said to be in state of equilibrium if it is at rest or moving with uniform velocity. There are two types of equilibrium. Dynamic Equilibrium If the body is moving with uniform velocity, then it is said to be in dynamic equilibrium.
First Condition of Equilibrium The vector sum of all forces acting on any object must be zero. Mathematically, hA. In case of coplanar forces, this conditions is expressed usually in terms of x and y components of forces.
Hence, the 1st condition of equilibrium for coplanar forces will be 0, Ak.
When the first condition of equilibrium is satisfied, there will be no linear acceleration and body will be in translational equilibrium. Second Condition of Equilibrium The vector sum of all torque acting on any object must be zero. Mathematically, hH. When the second condition of equilibrium is satisfied, there is no angular acceleration and body will be in rotational equilibrium. State the complete requirement for a body to be in equilibrium? A body will be in the state of complete equilibrium, when the sum of all the forces and torques acting on the body will be equal to zero.
Mathematically, it is described as i A. The position vector describes the location of a point with respect to origin. In two dimension, the. The vector sum of three vectors gives a zero resultant. What can be the orientation of the vectors?
If the three vectors are such that they can be represented by the sides of a triangle taken in cyclic order, then the vector sum of three vectors will be zero. Let three vectors. For what components will its components have opposite signs? The components of a vector have opposite sign when the vector lies in 2nd or 4th quadrant.
If one of the rectangular components of a vector is not zero, can its magnitude be zero? If one of the components is not zero, then the magnitude of vector cant be zero. Can a vector have a component greater than the vectors magnitude? The magnitude of the component of a vector can never be greater than the vectors magnitude because the component of a vector is its effective value in a specific direction.
The maximum value of magnitude of component can be equal to the magnitude of the vector. Can the magnitude of a vector have a negative value? No, the magnitude of a vector cannot be negative, because the magnitude of vector.
Therefore, the magnitude of a vector will always be positive. Hence the components of both vectors are equal in magnitude but opposite in direction. Under what circumstances would a vector have components that are equal in magnitude? The components of a vector will have equal magnitude when it makes an angle of 45 with x-axis. If a vector. Is it possible to add a vector quantity to a vector quantity to a scalar quantity?
No it is not possible to add a vector quantity to a scalar quantity because the physical quantities of same nature can be added. Vectors and scalars are different physical quantities. It means that vectors can be added to vectors and scalars are added in scalars, but the vectors cant be added to scalar. Can you add zero to a null vector? No, zero cant be added to a null vector because zero is a scalar and scalars cant be added to vectors. Only the physical quantities of same nature can be added.
Two vectors have unequal magnitudes. Can their sum be zero? No, the sum of two vectors having unequal magnitudes cant be zero. The sum of two vectors will be zero only when their magnitudes are equal and they act in opposite direction.
Show that the sum and the difference of two perpendicular vectors of equal lengths are also perpendicular and of same length. Consider two vectors. The sum and the difference of both vectors gives the resultant 4 and 4, respectively, and are described below: From 1 and 2 , it is clear that the sum and the difference of two perpendicular vectors of equal magnitude have the same lengths.
Now taking dot product of 4 and 4, we get: How would the two vector same magnitude have to be oriented, if they were to be combined to give a resultant equal to a vector of same magnitude? The two vectors of equal magnitudes are combined to give a resultant vector of same magnitude when they act at an angle of with each other.
Both vectors are added by head to tail rule to give resultant 4 as shown in the figure below:.
The two vectors to be combined have magnitude 60 N and 35 N. Pick the correct answer from those given below and tell why is it the only one of the three that is correct. The correct answer is 70 N. The resultant of two vectors has maximum magnitude when they act in same direction.
Thus if both vectors are parallel, then the magnitude of resultant will be: The resultant of two vectors has minimum magnitude when they act in opposite direction. Thus if both vectors are anti-parallel, then the magnitude of resultant is 60 x. Suppose the sides of a closed polygon represent vector arranged head to tail. What is the sum of these vectors? If there are five vectors A, B, C, D and E which are acting along the sides of close polygon as shown in the figure: As the tail of the first vector meets with the head of last vector, so by head to tail rule:.
Hence the sum of vectors arranged along the sides of polygon will be zero.