Chapter Test: Unit and Measurement - 1 Free MCQs with solutions JEE

A parallelopiped has length 'a', breadth '2a' and height '3a'. Length a is measured and measured value is (2 ± 0.02) cm. The maximum percentage error in the measurement of its value is -

If energy (E), velocity (v) and force (F), be taken as fundamental quantities, then what are the dimensions of mass -

The percentage error in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum percentage error in the estimate of kinetic energy obtained by measuring mass and speed -

A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity (v) is called time constant (τ). Dimensionally τ can be represented by -

If force [F], length [L] and time [T] are presumed to be the fundamental units, then the dimensional formula of mass will be–

The length, breadth and thickness of a strip are : (10.0 ± 0.1) cm, (1.00 ± 0.01) cm and (0.100 ± 0.001) cm respectively. The most probable error in its volume will be :

A system has basic dimensions as density [D], velocity [V] and area [A]. The dimensional representation of force in this system is -

If energy E, velocity (V) and time (T) are chosen as the fundamental quantities, then the dimensions of surface tension will be -

If frequency ν, velocity v and density d are considered as fundamental units, then the dimensional formula for momentum will be -

In a resonance tube with tuning fork of frequency 512 Hz, first resonance occurs at water level equal to 30.3 cm and second resonance occurs at 63.7cm. The maximum possible error in the speed is -

The maximum error in the measurement of mass and length of the side of a cube are 2% and 1% respectively. The maximum error in its density is-

A science student takes 100 observations in an experiment. Second time he takes 500 observations in the same experiment, by doing so the possible error becomes -

Dimensions of one or more pairs are same. Identify the pairs -

A current of 2.34 ampere flows in a resistance of 11.111111 Ω. The potential difference across the given resistance with due regard for significant figures is -

Dimensional formula for volume elasticity is-

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The value of universal gas constant is 8.3 J/mole/K, the mean kinetic energy of 32 gm of oxygen at –73ºC will be -

The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the volume of the sheet to correct significant figures.

The number of significant digits in 2,076 is:

The number of significant digits in 48,923 is:

The number of significant digits in 8.1000 is:

In SI system the fundamental units are: