Chap No.1 Measurements MCQs with solution

Chap No.1 Measurements

 

1)      

Which  expression using SI base units is equivalent to the volt;

a. kg m2 s-1 A-1                  b.kg m s-2 A

c. kg m-2 s-1 A                    d. kg m2 s-3 A-1

D

V=W/q=fd/q=mad/It=mvd/tIt=msd/ttIt=

kgmm/ssAs= kg m2 /s3 A1= kg m2 s-3 A-1

2)      

What is the circumfrence of the circle whos area is 100p :

a. 10p                                    b. 20p

c. 10                                      d.290

B

Circumfrnce of circle(c)= 2pr and area of circle(a) =pr2 NOW a=pr2=100p→r2=100→r=10 to find C=2pr = 2p10=20p

3)      

 The force of one Newton per meter square is equal to one.

 (a) Bar                                (b) Atm

(c) Pascal                           (d) Erg.               

C

P=F/A

4)      

Which of  following is unit of Pressure?

 (a) Kg m s-1                       (b) Kg m-1 s-2      

(c) Kg m2 s-2                      (d) Kg m-2 s-1

B

Kg m-1 s-2Hints:

5)      

If p is a pressure and d is a density then p/dha units of:

(a) m2/s2                            b) N/m2

(c) Kg/m2                                        (d) m3/Kg

A

P = F/A=ma/A= kg. ms-2/m2 = kg/m s and dha=(m/V)ha= kg. m.m2/m3 = kg now p/dha= kg/ms /kg =m s

6)      

Which of the following is closest to a yard:                         

(a) 0.01 m                          (b) 0.1 m            

(c) 1 m                                 (d) 100 m

C

1 m is closed to year

7)      

A student measure current as 0.5A. which of the following correctly expresses the result:

a. 50Ma                                b. 50MA

c.500mA                             d. 500MA

C

0.5 A= 0.5 mA/m = 0.5/10-3 mA= 0.5 x 103 mA= 5x 1000 mA=500 mA

8)      

The prefix “tetra” stands for;

a. 106                                    b. 109

c. 10-9                                                   d. 106

 

exa

 

9)      

What is the ratio of 1 Gm/1µm?  

 (a) 10-3                               (b) 10-7                               

(c) 10-18                              (d) 1015

D

1Gm =Gaga meter = 109,1µm = micro meter = 10-6 Thus; 1Gm/1µm =  = 109 × 106 = 1015)

10)  

 The prefix ‘Pico’ stands for:     

(a) 106                                 (b) 109                

(c) 10–12                              (d) 1012

C

Pice = 10-12

11)  

9.5 × 1015m when rounded off 40 is 1016 m which is equal to                          

 (a) Tera meter                (b) Atto meter

(c) Exa meter                   (d) Light year

D

as Peta = 1015 so Light year = 9.5 × 1015 m   = peta meter  

12)  

The measurement of physical quantity may be subject to random errors and to systematic errors.   Which statement is correct? 

(a) Random errors are always caused by the person taking the measurement. 

(b) A systematic error cannot be reduced         

(c) Random errors can be reduced by taking the average of several measurements         

(d) A systematic error results in a different reading each time the measurement is taken.

C

Random errors can be reduced by taking average of several measurements

13)  

The number of significant fiures in the measurement of 5.005x 10-5 s is;    

 a. 2                                        b. 3

c. 4                                         d 5

c

The zero between two significant figure is also significant and power is not counted in significant figures.

14)  

The scientific notation of a number 0.0023 is expressed as:  

A) 2.3 × 10-3                        B) 0.023 × 10-2                     

C)2.3 × 10-4                        D) 0.2 × 103

A

2.3 × 10-3. Decimal moved to right after first non zero digit and sign of power will be negative while moving to right

15)  

If 7.635 & 4.81 are two significant numbers, their multiplication in significant digit is:

(a) 36.72435                     (b) 36.724         

(c) 36.72                             (d) 36.7

B

Answer should be carried to least significant figure operation i.e. 4.81 which are to be multiplied.

16)  

The number of significant figures in 4.0030 is;

(a) Four                               (b) Five                 

(c) Two                               (d) Three

B

Zero after decimal to the right are also significant

17)  

The number of significant figures in the measurement x = 10.00300;

(a) 7                                      (b) 8                     

(c) 5                                      (d) 3

A

Zero after decimal to the right are also significant because it sow least count of measuring instrument

18)  

The number of significant figures in the measurement of 5.05 ´ 10-3 m/s is;        

(a) 2                                      (b) 3                     

(c) 4                                      (d) 8

b

Number in powers are in included in significant figures

19)  

During the experiment one measured the mass of Mosquito and fount it 1.20×10–5 Kg. The numbers of significant figures in this case are:

(a) Five                                (b) One               

(c) Two                               (d) Three

D

Number in powers are in included in significant figures

20)  

In a cricket match 500 spectators are counted one by one. How many significant figures will be there in the final result?                                       

(a) 0                                      (b) 1              

 (c) 2                                     (d) 3

D

If L.C is 100 than 1 significant figure.

   If L.C is 10 than 2 significant figure.

As there are 500 spectators and are counted one by one means L.C is 1 So there will be 3 significant figure

21)  

A value for the acceleration of free fall on earth is given (10+2) ms2. Which statement is the most correct

a. the value is accurate but not precise

b. the value is both accurate and precise

c. the value is neither precise nor accurate

d. the value is precise but not accurate

A

Accurate because value is near to 9.8 but not precise because least count is little more.

22)  

The maximum error in measurement of mass and length of the sides of the cube are 3% and 2% respectively. The maximum error in the measurement of its density is;

a. 3%                                     b. 5%

c. 6%                                     d. 9%

d

D=m/V=m/LLL=3/2222=3+2+2+2=9%

23)  

In simple electrical circuit the current in a resistor is measured as 2.50+0.05mA. the resistor is marked as having a value of 4.7 2%. if these values where used to calculate the power dissipated in the percentage uncertainty in the value obtained

a. 2%                                     b. 4%   

c. 6%                                     d. 8%

c

P=VI=IRI=I2%I=2+2+2=6%

Uncertainty in I=0.05/2.50 x100=2%

24)  

The power loss in resistor is culates by formula  P=V2/R. the uncertaniuty in V s 3% and in R is 2%. Uncertainty in P is:              

a. 4%                                     b. 7%   

c. 8%                                     d. 11%

 

P=V2/R=VV/R=3%3%/2%=3+3+2=8%

25)  

A quantity x is to be determined by the equation x=P-Q. P is measured as 1.27 0.02 m and Q is measured as 0.83 0.01m. what is percentage uncertainty in x to one significant figures;

a. 0.04%                              b.2%    

c. 3%                                     d. 7%

D

 

26)  

The quantity x is to be determined form the equation x = p-Q.nP is measured as (1.27+ 0.02)m and Q is measured as (0.03 + 0.01)m. What is the percentage uncertainty in x to one significant figure.           

(a) 4%                                  (b) 2%

(c) 3%                                  (d)7%

B

Hints;    x=P-Q=1.27-0.03=1.24 , Error = 0.02+0.01=0.03 

Percentage uncertainty ×100 ×100=2.4≈2

27)  

 The density of the steel ball was determined by measuring the mass and diameter. The mass was measured with 1% and diameter 3% of the error. In the calculated density of the steel ball is at most.                     

(a) 2%                                  (b) 4%                

(c) 8%                                  (d) 10%

D

By formula of density D=m/V ,the error is 1%+3% = 4%

28)  

 The power loss, P in resistor is calculated using the formula P = V2/R. The uncertainty in the potential difference V is 3% and the uncertainty in the resistance R is 2%, what is the uncertainty in P?     

(a) 4%                                  (b) 7%                

(c) 8%                                  (d) 11%                              

C

P =

Note; power is multliped to the error

29)  

 The uncertainty recorded in the radius of a sphere is 1.6%. The uncertainty in the area of that sphere is;

(a) 4.8%                              (b) 3.2%             

(c) 1.6%                              d) 0.8%

B

Area of sphere = 4pr2 => Thus uncertainty in area = (1.6%)2 = 1.6% × 2 = 3.2% (In uncertainty power is multiplied)

30)  

 The percentage error in the measurement of mass and speed are 5% or 6% respectively the maximum error in the measurement of K.E is:                                                                           

 A) 17%                               B) 30%               

C) 15%                                D) 90%

A

Maximum Error in K.E =  mv2 = (5%)( 6%)2= (5%) + ( 6%x2) = 17%


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