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In two different systems of units, acceleration is represented by the same number while velocity is represented by numbers in the ratio $1 : 3$ . The ratios of unit of length and time are, respectively,

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 40

The angular diameter of the sun is

1920 "

. If the distance of the sun from the earth is

1.5 \times 10^{11} m,

then the linear diameter of the sun is

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 41

What is the percentage error in calculating the value of area of a cylinder if its length is measured to be

5.0 cm

with a metre scale having least count

0.1 cm .

Its diameter is

5 cm

measured with vernier callipers having least count

0.01 cm .

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 42

If force

(F),

length

(L)

and time

(T)

be considered fundamental units, then the units of mass will be

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 43

Consider the vernier calipers shown below. The instrument has no zero error. If $1 M S D = 1 mm$ and $7 M S D = 8 V S D$ , then the length (in $mm$ ) of the rod shown in the figure is $a$ . Write value of $2 a$ .

[Given; the $4^{th} V S D$ coincides with $M S D$ ]

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 44

In a vernier calliper, vernier scale has

20

division which matches with

19^{th}

division of main scale. The least count of main scale is

1 mm

. When two jaws of vernier calliper is in contact, zero of main scale is visible and

14^{th}

vernier scale division matches with a main scale division. In measuring the length of iron rod by this instrument, main scale reads

35

division and

8^{th}

division of vernier scale coincides with a main scale division. Find the ten times value of the length of rod in

mm

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 1>Q 45

After how much time a pendulum clock will indicate the correct time again? if it with a

12

hour dial happens to gain

1

min/day. (After setting the clock to the correct time)

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 2>Q 1

The main scale division and pitch of a screw gauge is

0.05 cm

. Number of circular scale division in the circular scale is

100

. When no object is placed between the studs then the

0

of main scale is not visible and

5^{th}

division of circular scale coincides with the main scale. When a wire is placed in between the studs then the reading on main scale is

4.6 mm

and

52^{nd}

division on circular scale matches with reference line on main scale. The actual diameter of wire is

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Physics Crash Course JEE Main>Chapter 1 - Physics and Measurement>Level 2>Q 2

In the determination of Young's modulus

(Y = \frac{4 M L g}{π l d^{2}})

by using Searle's method, a wire
of length

L = 2 m

and diameter

d = 0.5 mm

is used. For a load,

M = 2.5 Kg,

an extension

l = 0.25 mm

in the length of the wire is observed. Quantities

d

and

l

are measured using a screw gauge and a micrometer, respectively. They have the same pitch of

0.5 mm .

The number of divisions on their circular scale is

100 .

The contributions to the maximum probable error of the measurement are

In two different systems of units, acceleration is represented by the same number while velocity is represented by numbers in the ratio 1:3. The ratios of unit of length and time are, respectively,

Important Questions on Physics and Measurement

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In two different systems of units, acceleration is represented by the same number while velocity is represented by numbers in the ratio $1 : 3$ . The ratios of unit of length and time are, respectively,