Units & Measurements, Mathematical tools Questions

Which of the following measurement has the highest number of significant figures?

A system has base dimensions as density [D], velocity [V] and area [A]. The dimensional representation of force in this system is:

If , dimensions of and respectively are: (Here v = velocity, F = force and t = time).

The vernier scale of a vernier calipers has 20 divisions, and total length of the vernier scale is equal to 18 divisions of the main scale. If one division of the main scale is 1 mm, the least count of the instrument is:

⚠️ Diagram Detected: The AI detected a chemistry or physics diagram here. Please upload the image manually using the editor.What can be the possible reading of vernier calipers shown in the figure?

Value of is:

A metallic disc is being heated. Its area (in ) at any time t (in sec) is given by . Calculate the rate of increase in area at s.

If the sum of the given infinite series is . The value of is:

If , then the value of is: (θ lies in the first quadrant)

If the unit of length and force be increased four times, then the unit of work will be; (work = force displacement)

Using binomial approximation method, find appropriate value of .

Value of expression is:

Solve for x:

An experiment measures quantities a, b and c and X is calculated from . If the percentage error in a, b and c are and respectively, the maximum percentage error in X will be:

One nanometer is equal to:

Roots of the quadratic equation, , are:

Random errors can be reduced by:

A dimensionless quantity:

There is an error of 2% in the measurement of side of a cube. The percentage error in the calculation of its volume will be:

Area bounded by the straight-line and the positive x-axis in the interval unit to unit is:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R: Assertion (A): Force cannot be added to pressure. Reason (R): The dimensions of force and pressure are different. In the light of the above statemen

⚠️ Diagram Detected: The AI detected a chemistry or physics diagram here. Please upload the image manually using the editor.Two straight lines in the X-Y plane are shown below. If slope of line A is and that of line B is , then choose the correct opt

For the equation ; The slope of the graph at point is:

The dimensional formula for impulse is: (Impulse = force time)

Find sum of first ten terms of given Arithmetic progression:

The maximum value of is:

With due regard to significant figures, the sum of two measured lengths 220.4 cm and 1.283 cm should be written as:

For the given quadratic equation which of the following statements is/are correct. A. is a point of minima B. is a point of maxima C. The minimum value of y is D. The minimum value of y is Choose the most appropriate answer from the options given bel

If , then will be:

If , and . The maximum percentage error in y is;

Two points A and B in X-Y plane have coordinates (1, 3) and (-2, -1) respectively. The distance between the points A and B is:

If and are the units selected in two systems of measurement and and are their numerical values, then:

The value of is:

Surface area of a cube is 7.34 cm². The surface area of 8 such cubes will be: [Taking significant figure in account]

If dimensions of A and B are different, then which of the following operations is valid?

is equal to:

Dimensional formula of potential energy is:

The order of the magnitude of the total seconds in one day is:

Light-year is a unit of:

The equation of a circle of radius 10 cm in x-y plane whose center is at origin is: (x and y are in cm)

Given below are two statements:\nStatement I: A number 2.543 round off to three significant figures is 2.55.\nStatement II: In rounding off the measured value, if the digit to be dropped is less than 5, then its preceding digit is raised by 1.\nIn th

If , where y is in meter and t is in second, then choose the correct option.

If then what is the value of ?

If ; then minima of y will be at what value of t?

The pitch of a screw gauge is 0.5 mm. Its main scale contains 50 divisions. The least count of the screw gauge is:

⚠️ Diagram Detected: The AI detected a chemistry or physics diagram here. Please upload the image manually using the editor.Which of the following can represent the curve ?

What is the number of significant figures in ?

The coordinates of the point where the straight-line intersects the x-axis are: