JEE Main Physics: Units & Measurements Practice Questions

19 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$Which of the following is a fundamental unit in the SI system?$
Easy
Q2.
$What is the dimensional formula for force?$
Easy
Q3.
$Which of the following physical quantities has the same dimensions as impulse?$
Easy
Q4.
$The number of significant figures in 0.005060 is:$
Easy
Q5.
$Which of the following is a dimensionless quantity?$
Easy
Q6.
$If the unit of length is doubled and the unit of time is halved, then the unit of acceleration will be changed by a factor of$
Medium
Q7.
$The physical quantity which has the same dimensions as Planck constant is$
Medium
Q8.
$A p h y s i c a l q u an t i t y P i sr e l a t e d t o f o u r o b ser v ab l es a, b, c, an dd a s P = a^{3} b^{2} / (s q r t (c) d) . T h e p er ce n t a g eer r or so f m e a s u r e m e n t ina, b, c, an dd a r e 1 p e$
Medium
Q9.
$If the velocity of light c, gravitational constant G, and Planck constant h are chosen as fundamental units, the dimension of mass in this system is$
Medium
Q10.
$T h e d e n s i t y o f ama t er ia l in C GS sy s t e m o f u ni t s i s 4 g / c m^{3} . I na sy s t e m o f u ni t s in w hi c h u ni t o f l e n g t hi s 10 c man d u ni t o f ma ss i s 100 g, t h e v a l u eo f d e n s$
Medium
Q11.
$If the units of length, mass, and time are doubled, the unit of energy becomes how many times the original unit?$
Hard
Q12.
$If the velocity of light c, gravitational constant G, and Planck constant h are chosen as fundamental units, the dimension of mass in this system is proportiona$
Hard
Q13.
$A student measures the thickness of a wire using a screw gauge with a pitch of 1 mm and 100 divisions on the circular scale. If the zero error is +0.03 mm and t$
Hard
Q14.
$T h ee q u a t i o n o f s t a t e f or a r e a l g a s i s g i v e nb y (P + a / V^{2}) (V - b) = R T . W ha t a r e t h e d im e n s i o n so f t h eco n s t an t a ?$
Hard
Q15.
$If force F, velocity v, and time T are taken as fundamental units, then the dimensions of mass are$
Medium
Q16.
$A screw gauge has a pitch of 0.5 mm and 50 divisions on its circular scale. When there is no object between the jaws, the zero of the circular scale lies 6 divi$
Hard
Q17.
$If the velocity of light c, Planck constant h, and gravitational constant G are taken as fundamental units, then the dimension of mass in this system is proport$
Hard
Q18.
$If the units of length, mass, and time are doubled, the unit of energy becomes n times the original unit. Find the value of n.$
Hard
Q19.
$The frequency of vibration of a string depends on length l, tension T, and mass per unit length m. Using dimensional analysis, the correct relation is?$
Hard

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