chapter 1 mcq's

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    CHAPTER 1: MEASUREMENT 

    1. The speed of light (c), Planck’s constant (h) and gravitational constant (G)

    are taken as the fundamental units in a system. The dimensions of time in

    this system are(a) h3/ G C1/ (b) G3/ h1/3 C (c) C h G! (d ) h1/ G1/ C!"/. (d)

    . #hich one of the follo$ing has not %een e&pressed in proper units'

    (a) momentum kg m s!1 

    (b) po$er kg m s!3 

    (c) po$er kg m s!1 

    (d ) pressure kg m! s!. (d)

    3. #hat is the dimension of the physical uantity in the euation, P *

    density/ + $here P is the pressure'

    (a) - T!1 (b) - T! (c) -! T  (d ) -! T. (c)

    . student conducts an e&periment and takes 100 readings. e repeats the

    e&periment and takes 200 readings, %y doing so the pro%a%ility of error

    (a) %ecomes four times (b) is halved (c) is reduced %y 41/25 (d ) remains

    unchanged (%)

    ". The time dependence of a physical uantity L is given %y L * L0 e&p(! t ),

    $here  is a constant and t is the time. The constant  

    (a) has the dimension of - (b) has the dimension T! (c) dimensionless (d ) has

    the dimension of T. (%)

    6. There is no 78 %ase unit for area %ecause

    . an area has no thickness+ hence no physical standard can %e %uilt

    9. $e live in a three (not a t$o) dimensional $orld

    :. it is impossi%le to e&press suare feet in terms of meters

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    ;. area can %e e&pressed in terms of suare meters

    106) / (.0 > 10?6) *

    . 3." > 10?1  9. 3." > 10?6  :. 3." ;. 3." >

    101

    2. The num%er of signi@cant @gures in 0.001"0 is

    . 9. 3 :. ;. " .= *

    . A 9. 2 :. 2.6 ;. 2.6 10? m3 :. 3.6 > 10?3 m3 ;. 0.11 m3  ns

    1. sphere $ith a radius of 1.= cm has a surface area of

    . .1 > 10?" m 9. A.1 > 10? m  :. 3.6 > 10?3 m ;. 36 m ns :

    13. right circular cylinder $ith a radius of .3 cm and a height of 1. m has

    a volume of

    . 0.0 m3 9. A.3 > 10?3 m3 :. .3 > 10?3 m3 ;. =. > 10? m3 ns ;

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    1. right circular cylinder $ith a radius of .3 cm and a height of 1. cm

    has a total surface area of

    . 3. > 10?3 m 9. .0 > 10?3 m3 :. ".3 > 10?3 m ;. =. > 10?3 m ns;

    1". 1 m is euivalent to 3.21 ft. cu%e $ith an edge of 1." ft has a volume

    of

    . 1. > 10 m3 9. A.6 > 10? m3 :. 10." m3 ;. A." > 10? m3

    ns 9

    16. ;uring a short interval of time the speed v in m/s of an automo%ile is

    given %y v * at B %t3, $here the time t is in seconds. The units of a and %

    are respectively

    . m C s+ mC s 9. s3/m+ s/m :. m/s+ m/s3 ;. m/s3+

    m/s   ns ;

    1=. 7uppose * 9n:m, $here has dimensions -T, 9 has dimensions - T?1,

    and : has dimensions -T. Then the e&ponents n and m have the values

    . /3+ 1/3 9. + 3 :. /"+ ?1/" ;. 1/"+ 3/"

    ns ;