HSSC-1 (Class-11) Solved Physics MCQs; Unit-1: Measurements (New Book/KPK Text Board, Peshawar) With Verified Answers 


1. What is the radian measure between the arms of the watch at 5:00 pm?




... Answer is C. 3 radian
As we know that in one complete revolution of the hour hand, there are 12 hours, and is also equal to 2𝛑 radians. So, by unitary method 12 hours = 2𝛑 radians, 1 hour = 2𝛑/12 radians, 1 hour = 𝛑/6 radians, 5 hours = 5𝛑/6 radians, by putting the value of 𝛑, 5 hours = 5 (3.14159) /6 radians, = 2.61799 radians, by rounding off to the whole number we get, 3 radians


2. 1⁰ = -------------




... Answer is A. 0.01745 radian
As we know that 57.3° = 1 radian; by unitary method; 1° = 1/57.3 radian = 0.01745 radian


3. The metric prefix for 0.000001 is




... Answer is B. micro
1 micro = 1/1000000 = 0.000001


4. Which of the following is the CORRECT way of writing units?




... Answer is D. 43 kg m⁻³
Option A is wrong because, in units, symbols are used. Option B is wrong because no compound prefixes are used in units. Option C is wrong because the unit of mass starts with small letters kg according to the Bureau Internationale des Poids et des Measures. Option D is correct because the units are spaced and written properly


5. A student measures a distance several times. The readings lie between 49.8 cm and 50.2 cm. This measurement is best recorded as




... Answer is C.  (50.0 ± 0.2) cm.
By taking the average, the best estimate is 50.0. The first reading will be 49.8 = 50.0 - 0.2 and the second reading 50.2 = 50.0 + 0.2. So, the uncertainty is ± 0.2. therefore, the correct answer is option C.


6. The percent uncertainty in the measurement of ( 3.76 ± 0.25) m is




... Answer is B. 6.6%
the formula for percentage uncertainty is: % uncertainty = ( uncertainty / best estimate ) x 100 = (0.25 / 3.75 ) x 100 = 6.6666 %


7. The temperatures of two bodies measured by a thermometer are t₁ = (20 ± 0.5) °C and t₂ = (50 ± 0.5) °C. The temperature difference and the error therein are:




... Answer is C. (30 ± 1) °C
The fraction uncertainty is added in difference as well as in addition, multiplication, and division. As given t₁ = (20 ± 0.5) °C and t₂ = (50 ± 0.5) °C. Thus, t₂ - t₁ = (50 ± 0.5) °C - (20 ± 0.5) °C = ((50 - 20 ) ± (0.5 + 0.5) )°C = (30 ± 1 )°C; So, Option C. is the correct answer


8. (5.0 m ± 4.0%) x (3.0 s ± 3.3%)




... Answer is B. 15.0 ms ± 7.3%
The fraction uncertainty is added in difference as well as in addition, multiplication, and division. (5.0 m ± 4.0%) x (3.0 s ± 3.3%) = ((5.0 ｘ 3.0 ) ± (4.0% + 3.3%) ) = (15.0 m s ± 7.3%). So, Option B is the correct answer.


9. (2.0 m ± 2.0% )³




... Answer is D. 8.0 m³ ± 6.0%
The Power is multiplied by the fraction uncertainty So, (2.0 m ± 2.0% )³ = (2.0)³ ± (3 ｘ 2.0%) ) = (8.0 ± 6.0%); Option D. is the correct answer.


10. The number of significant figures in the measurement of 0.00708600 is




... Answer is C. 6
In decimal fractions, ZEROs to the left of the significant figures are NOT significant and ZEROs to the right of the significant figures are significant. So, the correct answer is option C.


11. How many significant figures does 1.362 + 25.2 have?




... Answer is B. 3
According to the rules of significant figures, when two or more quantities are added or subtracted, the result is as precise as the least precise of the quantities. After adding or subtracting, the result should be rounded to the lowest number of decimal places as given in the input given number. In the given numbers 25.2 has the lowest decimal place (one DP). So, the result of the calculation should be rounded to one decimal place. 1.362 + 25.2 = 26.562 = 26.6 (3 significant figures).


12. Compute the result to the correct number of significant digits 1.513 m + 27.3 m = 




... Answer is B.  28.8 m
According to the rules of a significant figure, when two or more quantities are added or subtracted, the result is as precise as the least precise of the quantities. After adding or subtracting, the result should be rounded to the lowest number of decimal places as given in the input given number. In the given numbers, 27.3 m has the lowest decimal place (one DP). So, the result of the calculation should be rounded to one decimal place. Here We have 1.513 m + 27.3 m = 28.813 m = 28.8 m ---- Ans


13. If 7.635 and 4.81 are two significant numbers. Their multiplication in significant digits is:




... Answer is D. 36.7
According to the rules of significant figures, when quantities are multiplied or divided, the result has the same significant figures as the quantity with the smallest numbers of significance. Of the given numbers, 4.81 has the lowest 3 significant figures. So, the result of the calculation should be rounded to the three significant figures. Here We have 7.635 ｘ 4.81 = 36.72435 = 36.7 --Ans Option D. is the correct answer.


14. The precision of the measurement 385,000 km is




... Answer is C. 1000 km
In the measurement, the term precision describes the degree of exactness with which a measurement is made and stated (that is the position of the last significant digit). So, in the given measurement 385,000 km the position of the last significant digit (5) is in the thousand places. So, the precision of the measurement in 385,000 km is 1000 km.


15. [M°L°T°] are dimension of
     A. 



... Answer is D. All of these
[M°L°T°] is used for dimensionless quantities. So, the correct option is option D. because strain, refractive index, and magnification are all dimensionless quantities (have no units)


16.. The dimensions of torque are




... Answer is C.  [ML²T⁻²]
As we know that, Torque T = r x F, Dimension of length r = [L], Dimension of Force = [MLT⁻²], thus dimension of Torque = [L] x [MLT⁻²] = [ML²T⁻²]



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