Chapter 1- questn-9 If the dimensions of a physical quantity is ML what is it's SI units?

Q: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is…

A: The unit conversion of fathom into ft is given as, 1 fathom=6 ft1 ft=16 fathom

Q: The general equation for a parabola is y=ax^2+bx+c, where a,b, and c are constants. What are the…

A: Step -1To find: The unit of constant a, b and c.Given information: The equation of parabola is : y=…

Q: Must two quantities have same dimensions (a) if you are adding them? (b) if you are multiplying…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The position of a certain particle moving along the x axis is determined from the expression  x(t)…

A: Given expression ,                                  x(t) = btu + ctv  Where , x is in meters when t…

Q: Suppose that two quantities, A and B, have different dimensions. Determine which of the following…

A: .

Q: Which of the following will yield a dimensionless quantity if X and Y have the dimension of length,…

A: The dimension of mass is represented as [M] The dimension of length is represented as [L] The…

Q: subtract

A: Given: There are two quantities with different dimensions lets say, Q and Q'

Q: Question No. 1 A physical quantity is measured and its value is found to be equal to nu, where n is…

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Q: Kinetic energy K has dimensions kg.m 2 /s 2 . It can be written in terms of the momentum p and mass…

A: Dimensional analysis is the analysis of the relationships between different physical quantities by…

Q: Problem 6: The sides of a small rectangular box are measured to be 1.55 + 0.045 cm, 2.1 + 0.025cm,…

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Q: The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of…

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Q: s is a distance with unit [L], t is a time with unit [T], and θ is an angle in radians.  Find the…

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Q: We would like to find a relationship between the physical quantities s, t, u and v using theorem.…

A: Given Data: The given equation is  satbucvd i.e.  MLT2aT/LbM2T2cL2d   and  2a+?b+2c = 0

Q: Suppose the volume V of some object happens to depend on time t according to the equation V(t)= At3…

A: we know that the quantities having same dimension can only be added or substracted.

Q: You can use known quantities to determine an approximate measurement of unknown quantities. If your…

A: 1 hand = 10 cm

Q: A study from the National Institutes of Health states thatthe human body contains trillions of…

A: Consider that the average mass of a human being is 90 kg.

Q: Kinetic energy K has dimensions kg ·m2/s2. It can be written in terms of the momentum p and mass m…

A: Given : (a) Kinetic energy K has dimensions kg ·m2/s2. K = p2/2m To determine: the proper units for…

Q: Treat a cell in a human as a sphere of radius 1.0 μm.(a) Determine the volume of a cell. (b)…

A: Let r be the radius of the cell, and consider the body to be a cylinder of radius a=6 inches and…

Q: Suppose that the displacement of an object is related to time according to the expression x = Bt2.…

A: The given expression is,

Q: Give an example of (a) a physical quantity which has a unit but no dimensions. (b) a physical…

A: Dimension analysis

Q: EACH Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT…

A: Given  Dimensions of physical quantities   [m] = M  [s] =L  [v]= LT-1  [a] = LT-2  [ t] = T  Also…

Q: hen an object falls through air, there is a drag force that depends on the product of the surface…

A: The equation force is  F=CAv2 ............................ (1)  where F is the force, C is the…

Q: A certain physical quantity, R, is calculated using the formula: R = 3a(b – C) where a is a mass and…

A: Given, A quantity R is represented by formula,  R = 3a(b -c) where, a is a mass and b and c are…

Q: Consider the equation v= The dimensions of the variables v, x, and t are [L]/[T], [L], and [T],…

A: GivenV=13Zxt2Dimension of V=LTx=Lt=T3 is dimensionless

Q: P V =

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Q: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is…

A:

Q: Kinetic energy K has dimensions kg · m²/s?. It can be written in terms of the momentum p and mass m…

A:

Q: Which of the following equations are dimensionally (units) consistent? 1. v = 1/2at2 2. t = v/a…

A:

Q: s is a distance with unit [L], t is a time with unit [T] and θ is an angle in radians. a. Find…

A: Units of S (distance) = [L] Units of t (time) = [T] Units of angle = radians

Q: Must two physical quantities have the same dimensions if you are subtracting them? Select one O True…

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Q: The position of a particle moving along the x axis may be determined from the expression x(t) = btu…

A:

Q: The period of a simple pendulum, defined as the time necessary for one complete oscillation, is…

A: The expression for the time period is,

Q: Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of…

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Q: Use dimensional analysis to determine which of the following equation is certainly wrong: 1= F- F-…

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Q: the length of a rectangle is 20 m and the breadth 2 cm  what is an area of the rectangle in the S I…

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Q: In the equation F= xt' +yt?. F = Force and t = time. The dimensions of x and y respectively are Oa…

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Q: If you get 8 hours of sleep at night, how many seconds is that? Solve this using dimensional…

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Q: Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of…

A: From the figure, it can be seen that 212 S is equivalent to 258 W and 212-32 = 180 S is equivalent…

Q: a) Acceleration is described as space divided by time squared. Determine the dimensions of…

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Q: U.S. football field is 120 yards long (including the end zones). How long is the field in the…

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Q: You can always add two numbers that have the same units. However, you cannot always add two numbers…

A: You can add two numbers that have the same units like adding 1 (meter) to 2 (meter) this is always…

Q: Luke purchased tiles for his patio that are 8” by 4”. He measured her patio in meters and wants to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: When estimating the area covered by an object, what type of error might you make and what sources…

A: Given:  Scenario where we are measuring area covered by the object.

Q: Which of the following equations are dimensionally consistent? (a) v = at, (b) v = 12at2, (c) t =…

A: a V=at     For dimensional stability , both side should have same dimensions .   LT-1=LT-2T…

Q: The quantity called mass density is the mass per unit volume of a substance. Express the following…

A: Given density of aluminum = 2.7 × 10-3 kg/cm3

Q: Problem 16. Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v]…

A: Given data:  The dimensions of m, s, v, a and [m] = M, [s] = L,  [v] = LT-1, [a] = LT-2 and [t]  = T…

Q: The displacement of a particle is given by S=a+bt+ct². Deduce the dimensions of the constants, a, b,…

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Q: Each of the following equations was given by a student during an examination. Do a dimensional…

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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.