EASY

JEE Advanced

IMPORTANT

Earn 100

In a new system of unit, $1$ unit of mass is $10 kg$ , I unit of length is $10 m$ and $1$ unit of time is $1 s$ . If $1$ unit of power in this unit is equal to $x$ $Watt$ , find $x$ .

Important Questions on Dimensions and Measurement

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 18

An experiment was conducted to measure the velocity of water splash when a car passes over a water layer on the road. It is found that velocity depends on the weight of car, power delivered by its engine and thickness of water layer. The velocity of splash was found to be

3 m s^{- 1}

when a car weighing

1000 N

passes over a layer of thickness

3 mm

and its engine is supplying a power of

800 kW

. Find the velocity (in

m s^{- 1}

) of splash when car weighing

500 N

passes over a layer of thickness

4 mm

and its engine is supplying a power of just

400 kW

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 19

In a new system of units, the unit of mass is

100 g

, the unit of length is

4 m

and the unit of time is

2 s

. Find the numerical value of

10 J

in this system.

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 20

The main scale of a vernier calipers reads in $milimeter$ and its vernier is divided into $10$ divisions which coincides with $9$ divisions of the main scale. Find the reading for shown situation in $mm$ .

Question Image

EASY

JEE Advanced

IMPORTANT

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

In an experiment, the angles are required to be measured using an instrument.

29

divisions of the main scale exactly coincide with

30

divisions of the vernier scale. If the smallest division of the main scale is half-a-degree

(= 0.5 °),

then the least count of the instrument is

EASY

JEE Advanced

IMPORTANT

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

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurements of the current and the voltage difference are

3 %

each, then error in the value of resistance of the wire is:

MEDIUM

JEE Advanced

IMPORTANT

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

Let

[ε_{0}]

denote the dimensional formula of the permittivity of vacuum. If

M =

mass,

L =

length,

T =

time and

A =

electric current, then:

MEDIUM

JEE Advanced

IMPORTANT

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

A student measures the time period of

100

oscillations of a simple pendulum four times. The data set is

90 s, 91 s, 95 s

and

92 s .

If the minimum division in the measuring clock is

1 s,

then the reported mean time should be,

MEDIUM

JEE Advanced

IMPORTANT

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

A screw gauge with a pitch of

0.5 mm

and a circular scale with

50

divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the

45^{th}

division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is

0.5 mm

and the

25^{th}

division coincides within the main scale line?

In a new system of unit, 1 unit of mass is 10 kg, I unit of length is 10 m and 1 unit of time is 1s. If 1 unit of power in this unit is equal to x Watt, find x.

Important Questions on Dimensions and Measurement

Learn and Prepare for any exam you want !

In a new system of unit, $1$ unit of mass is $10 kg$ , I unit of length is $10 m$ and $1$ unit of time is $1 s$ . If $1$ unit of power in this unit is equal to $x$ $Watt$ , find $x$ .