One degree of arc is equal to_______

(a)

1.457\(\times\)10²rad

(b)

1.457\(\times\)10^-2rad

(c)

1.745\(\times\)10²rad

(d)

1.745\(\times\)10^-2rad

1 minute of arc is equal to__________

(a)

1.745\(\times\)10^-2 rad

(b)

2.91\(\times\)10^-4 rad

(c)

2.91\(\times\)10⁴ rad

(d)

4.85\(\times\)10^-6 rad

1 second of arc is equal to________

(a)

\(\frac { 1^{ o } }{ 3600 } \)

(b)

4.85\(\times\)10⁶rad

(c)

\(\frac { 1 }{ 4.85 } \times { 10 }^{ -6 }\)rad

(d)

2.91÷10^-4 rad

1 second of arc is equal to_____________

(a)

0.00027^o

(b)

1.745\(\times\)10^-2rad

(c)

2.91\(\times\)10^-4rad

(d)

4.85\(\times\)10^-6rad

Pick out the dimensionless quantity _______________

(a)

force

(b)

specific gravity

(c)

planck's constant

(d)

velocity

Odd one out ________

(a)

strain

(b)

refractive index

(c)

numbers

(d)

stress

A wire has a mass 0.3 ± 0.003g, radius 0.5 ± 0.005 mm and length 6 ± 0.06 em. The maximum percentage error in the measurement of its density is _________________

(a)

1%

(b)

2%

(c)

3%

(d)

4%

The dimensions of Planck constant equals to that of ____________

(a)

energy

(b)

momentum

(c)

angular momentum

(d)

power

Given that y = A sin \(({2\pi\over \lambda}(ct-x) )\). Where y and x are measured in metres. Which of the  following statements is true?

(a)

The unit of \(\lambda\) is same as that of x and A

(b)

The unit of \(\lambda\) is same as that of x but not of A

(c)

The unit of c is same as that of 2\(\pi /\lambda\)

(d)

The unit of (ct - x)is same as that 2\(\pi /\lambda\)

The number of significant figures in 0.06900 is ________

(a)

2

(b)

2

(c)

4

(d)

5

The numbers 3.665 and 3.635 on rounding off to 3 significant figures will give____________

(a)

3.66 and 3.63

(b)

3.66 and 3.64

(c)

3.67 and 3.63

(d)

3.67 and 3.64

Which of the following measurements is most precise?

(a)

4.00 mm

(b)

4.00 cm

(c)

4.00 m

(d)

4.00 km

The mean radius of a wire is 2 mm. Which of the following measurements is most accurate?

(a)

1.9 mm

(b)

2.25 mm

(c)

2.3 mm

(d)

1.83 mm

Unit of impulse_______________

(a)

NS²

(b)

NS

(c)

Nm

(d)

Kgms^-2

The ratio of energy and temperature is known as_______

(a)

Stefen's constant

(b)

Boltzmann constant

(c)

Plank's constant

(d)

Kinetic constant

The range of distance can be measured by using direct methods is________

(a)

10^-2 to 10^-5 m

(b)

10^-2 to 10² m

(c)

10² to 10^-5 m

(d)

10^-2 to 10⁵ m

Which of the following is in increased order?

(a)

exa, tera, hecto

(b)

tera, exa, hecto

(c)

giga, tera, exa

(d)

hecto, exa, giga

10^-18 is called as____________

(a)

nano

(b)

pico

(c)

femto

(d)

atto

If error in measurement of radius of sphere is 1%. What will be the error in measurement of volume?

(a)

1%

(b)

\(1\over 3\) %

(c)

3%

(d)

10%

Dimensions [M L^-1T^-1] are related to_____________

(a)

torque

(b)

work

(c)

energy

(d)

Coefficient of viscosity

Heat produced by a current is obtained a relation H = I²RT. If the errors in measuring these quantities current, resistance, time are 1%, 2%, 1% respectively then total error in calculating the energy produced is________________

(a)

2%

(b)

4%

(c)

5%

(d)

6%

Length cannot be measured by _______________

(a)

fermi

(b)

angstrom

(c)

parsec

(d)

debye

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula p =\(F\over l^2\) .If the maximum errors in the measurement of force and length are 4% and 2% respectively, then the maximum error in the measurement of pressure is _________________

(a)

1%

(b)

2%

(c)

8%

(d)

10%

Which of the following cannot be verified by using dimensional analysis?

(a)

\(s=ut+{1\over 2}at\)

(b)

y = a sin wt

(c)

F = \(mv^2\over r\)

(d)

F = ma

Percentage errors in the measurement of mass and speed are 3% and 2% respectively. The error in the calculation of kinetic energy is_________________

(a)

2%

(b)

3%

(c)

5%

(d)

7%

More number of readings will reduce________________

(a)

random error

(b)

systematic error

(c)

both (a) and (b)

(d)

neither (a) nor (b)

The ratio of the mean absolute error to the mean value is called as__________.

(a)

absolute error

(b)

random error

(c)

relative error

(d)

percentage error

Relative error can also be called as____________.

(a)

fractional error

(b)

absolute error

(c)

percentage error

(d)

systematic error

A measured value to be close to targeted value, percentage error must be close to__________.

(a)

0

(b)

10

(c)

100^oc

(d)

\(\propto \)

The maximum possible error in the sum of two quantities is equal to___________.

(a)

Z =A + B

(b)

\(\triangle Z=\triangle A+\triangle B\)

(c)

\(\triangle Z=\triangle A/\triangle B\)

(d)

\(\triangle Z=\triangle A-\triangle B\)

The maximum possible error in the difference of two quantities is___________.

(a)

Z=A+B

(b)

\(\triangle Z=\triangle A-\triangle B\)

(c)

\(\frac{\triangle Z}{Z}=\frac{\triangle A}{A}+\frac{\triangle B}{B}\)

(d)

\(\frac{\triangle Z}{Z}=\frac{\triangle A\triangle B}{AB}\)

The maximum fractional error in the division of two quantities is_________.

(a)

Z=A+B

(b)

\(\triangle Z=\triangle A-\triangle B\)

(c)

\(\frac{\triangle Z}{Z}=\frac{\triangle A}{A}+\frac{\triangle B}{B}\)

(d)

\(\frac{\triangle Z}{Z}=\frac{\triangle A\triangle B}{AB}\)

The fractional error in the n^th power of a quantity is_________.

(a)

\(\frac{\triangle Z}{Z}=n\frac{\triangle A}{A}\)

(b)

\(\frac{Z}{\triangle A}=n\frac{A}{\triangle A}\)

(c)

\(\frac{\triangle Z}{Z}=\frac{1}{n}\frac{\triangle A}{A}\)

(d)

\(\frac{Z}{\triangle Z}=\frac{1}{n}\frac{A}{\triangle A}\)

A physical quantity is given as \(y=\frac{ab^3}{c^2}\) . If \(\triangle a,\triangle b,\triangle c\) are the absolute errors, the possible fractional error in y is___________.

(a)

\(\frac{\triangle y}{y}=\frac{\triangle a\triangle b}{2\triangle c}\)

(b)

\(\frac{\triangle y}{y}=\frac{\triangle a}{a}+3\frac{\triangle b}{b}+2\frac{\triangle c}{c}\)

(c)

\(\frac{\triangle y}{y}=\frac{\triangle a}{a}+(\frac{\triangle b}{a}^3)+(\frac{\triangle c}{c})^2\)

(d)

\(\frac{\triangle y}{y}=\frac{\triangle a}{a}+\frac{\triangle b}{a}+\frac{\triangle c}{c}\)

Number of significant digits in 3256 ____________.

(a)

1

(b)

2

(c)

3

(d)

4

Number of significant digits in 32005_______________.

(a)

1

(b)

2

(c)

5

(d)

2

Number of significant digits in 2030______________.

(a)

1

(b)

2

(c)

3

(d)

4

Number of significant digits in 2030N__________.

(a)

1

(b)

2

(c)

3

(d)

4

Number of significant digits in 0.0342__________.

(a)

1

(b)

2

(c)

3

(d)

4

Number of significant digit in 20.00____________.

(a)

1

(b)

2

(c)

3

(d)

4

Number of significant digit in 0.030400_________.

(a)

6

(b)

5

(c)

4

(d)

3

The force acting on a body is measured as 4.25 N. Round it off with two significant figure________.

(a)

4.3

(b)

4.2

(c)

both (a) or (b)

(d)

4.25

The quantities a, b, c are measured as 3.21, 4.253, 7.2346. The sum (a + b + c) with profer significant digits is_____________.

(a)

14.6976

(b)

14.697

(c)

14.69

(d)

14.6

If the percentage error in the measurement of mass and momentum of a body are 3% and 2% respectively, then maximum possible error in kinetic energy is ______________

(a)

2%

(b)

3%

(c)

5%

(d)

7%

In a vernier caliper, n divisions of vernier scale coincides with (n - 1) divisions of main scale. The least count of the instrument is ______________

(a)

\(\frac{1}{n}\)MSD

(b)

\({n\over n+1}\)MSD

(c)

\({ n+1\over n}\)MSD

(d)

\({ n+1\over n-1}\)MSD

The period of a simple pendulum is recorded as 2.56s, 2.42s, 2.71s, and 2.80s respectively. The average absolute error is___________________

(a)

0.1_S

(b)

0.2_S

(c)

1.0_S

(d)

0.11_S

In a system of units, if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is____________

(a)

[FA²T]

(b)

[FAT²]

(c)

[F²AT]

(d)

[FAT]

The random error in the arithmetic mean of 50 observations is 'a', then the random error in the arithmetic mean of 200 observations a would be_______________

(a)

4a

(b)

16a²

(c)

\(a\over 4\)

(d)

\(a\over 2\)

Which of the following is not dimensionless?

(a)

Relative permittivity

(b)

Refractive index

(c)

Relative density

(d)

Relative velocity

If V-velocity, K - kinetic energy and T - time are chosen as the fundamental units, then what is the dimensional formula for surface tension?

(a)

[KV^-2 T²]

(b)

[K²VT^-2]

(c)

[KV²T²]

(d)

[KV^-2T²]