PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 61

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

A gas bubble from an explosion under water oscillates with a period $T$ proportional to $p^{a} d^{b} E^{c}$ , where $p$ is the static pressure, $d$ is the density of water and $E$ is the total energy of explosion. Find the value of $a$ .

50% studentsanswered this correctly

Important Questions on Dimensions and Measurement

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 62

In the relation $P = \frac{α}{β} e^{- α Z / K θ}$ , $P$ is the pressure,

Z

is the distance,

K

is the Boltzmann's constant and

α

is the temperature. The dimensional formula of

β

will be:

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 63

A bus travels a distance

x_{1}

when accelerates from rest at constant rate

a_{1}

for some time and after that travels a distance

x_{2}

when decelerates at a constant rate

a_{2}

to come to rest. A student established a relation

x_{1} + x_{2} = \frac{a_{1} a_{2} t^{2}}{2 (a_{1} + a_{2})}

. Choose the correct option(s).

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 64

A body travels uniformly a distance of $(s \pm △ s)$ in a time $(t \pm △ t)$ . What may be the condition so that body, within the error limits, moves with a velocity $(\frac{s}{t} \pm \frac{△ s}{△ t})$

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 1

Which of the following pairs has/have the same dimensions?

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 2

Which of the following pairs has/have different dimensions?

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 3

Pressure is dimensionally

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 4

Choose the correct statement(s).

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 5

The values of measurement of a physical quantity in five trials were found to be

1.51, 1.53, 1.53, 1.52

and

1.54

. Then,