Quiz On Unit and Dimension, Quiz-1

1. The equation (p+a/V 2 ) (V-b)= constant. The units of a is ?




Answer is B)
According to the principle of dimensional homogenity [P]=[a/V2]”
=> [a] = [P][V 2] = [ML-1T -2] [L 6] = [ML5 T -2]
or unit of a = gm × cm 5 × sec -2 = Dyne × cm 4


2. If x = at + bt2 where x is the distance travelled by the body in kilometre while t the time in seconds, then the units of b are ?




Answer is C)
From the principle of dimensional homogenity [x] = [bt2] => [b] = [x/t 2]
So Unit of b = km/s 2


3. The unit of absolute permittivity is ?




Answer is B)


4. Unit of Stefan’s constant is ?




Answer is B)


5. The unit of surface tension in SI system is ?




Answer is B)


6. A suitable unit for gravitational constant is ?




Answer is C)


7. The SI unit of universal gas constant (R) is ?




Answer is C)


8. X = 3YZ2 find dimension of Y in (MKSA) system, if X and Z are the dimension of capacity and magnetic field respectively ?




Answer is D)


9. If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C2 LR is ?




Answer is B)


10. A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b ?




Answer is B)


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