JEE Advanced Physics: Units & Measurements Practice Questions

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

Q1.
$If the unit of length is doubled and the unit of time is halved, the unit of velocity will be changed by what factor?$
Easy
Q2.
$The dimensional formula for surface tension is given by which of the following?$
Easy
Q3.
$The dimensions of Planck constant are equivalent to those of which of the following?$
Easy
Q4.
$In a system of units where the unit of force is 10 N, the unit of length is 10 m, and the unit of time is 5 s, what is the unit of mass in this system in kilogr$
Medium
Q5.
$If the velocity v, acceleration a, and force Fare chosen as fundamental quantities instead of mass, length, and time, what is the dimension of Young's modulus i$
Medium
Q6.
$A student measures the thickness of a wire using a screw gauge with a pitch of 0.5 mm and 50 divisions on the circular scale. The reading is 5 mm on the main sc$
Medium
Q7.
$A p h y s i c a l q u an t i t y P i sr e l a t e d t o f o u r o b ser v ab l es a, b, c, an dd b y t h ee q u a t i o n P = a^{3} b^{2} / (s q r t (c) d) . T h e p er ce n t a g eer r or s ina, b, c, an dd a r e 1$
Medium
Q8.
$In a new system of units, the unit of mass is alpha kg, the unit of length is beta m, and the unit of time is gamma s. If the value of force in this new system$
Hard
Q9.
$If the velocity v, acceleration a, and force Fare chosen as fundamental quantities instead of mass, length, and time, what is the dimensional formula of Young's$
Hard

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