If the error in the measurement of radius is 2%, then the error in the determination of volume of the sphere will be

(a)

8%

(b)

2%

(c)

4%

(d)

6%

The dimensional formula of Planck's constant h is

(a)

[ML²T^-1]

(b)

[ML²T³]

(c)

[MLT^-1]

(d)

[ML³T^-3]

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are taken as three fundamental constants. Which of the following combinations of these has the dimension of length?

(a)

\({{\sqrt{hG}}\over{{c}^{{{3}\over{2}}}}}\)

(b)

\({{\sqrt{hG}}\over{{c}^{{{5}\over{2}}}}}\)

(c)

\(\sqrt{{{hc}\over{G}}}\)

(d)

\(\sqrt{{{Gc}\over{{h}^{{{3}\over{2}}}}}}\)

Astromical Scale is dealt with the _________ Physics

(a)

Mesoscopic

(b)

Microscopic

(c)

Macroscopic

(d)

None

Which is deals with the study of materials of an intermediate length scale?

(a)

Macro physics

(b)

Macroscopic physics

(c)

Microscopic physics

(d)

All the above

How many AU makes one metre?

(a)

3.26 \(\times\) 10¹¹AU

(b)

1.496 \(\times\) 10¹¹AU

(c)

3.08 \(\times\) 10¹⁶ AU

(d)

6.684 \(\times\) 10^-12AU

Which device is used for measuring the mass of atoms?

(a)

Spectragraph

(b)

Fermi

(c)

Telescope

(d)

Microscope

Which of the following Statement is wrong?

(a)

Strain is a dimensionless quantity

(b)

Fundamental quantity is also called the base quantity

(c)

force = mass x acceleration

(d)

1 Solar year = 1500 days.

If force |F|, velocity |V| and time |T| are taken as to fundamental units then the dimensions of mass are _______________.

(a)

FV^-1T

(b)

FV^-1T

(c)

FVT^-1

(d)

FVT^-2

The dimensions of universal gravitational constant is ______________.

(a)

M²L³T^-2

(b)

M²L²T^-1

(c)

M²L³T^-1

(d)

ML²T^-1

The fractional error \(\left( {{\triangle x}\over{x}} \right)\)  _____________.

(a)

\(\pm\left( {{\triangle x}\over{x}} \right)\)

(b)

\(\pm n\left( {{\triangle a}\over{a}}\right)\)

(c)

\(\pm n \log_e \left( {{\triangle a}\over{a}}\right)\)

(d)

\(\pm n \log_{10}{{\triangle a}\over{a}}\)

How many AU present in one light year?

(a)

6.30\(\times\)10⁴m

(b)

9.46\(\times\)10¹⁵m

(c)

6.2\(\times\)10²m

(d)

9.4\(\times\)10¹⁶m

How many parsec are there in one kilometer?

(a)

3.084\(\times\)10^-16

(b)

3.084\(\times\)10⁸

(c)

3.24\(\times\)10^-14

(d)

None

What is the SI unit of linear momentum?

(a)

ms^-1

(b)

ms^-2

(c)

kg ms^-1

(d)

kg m² ms^-1

The term used to mention study of macroscopic system to microscopic constituents is _____________.

(a)

unification

(b)

macrocosm

(c)

reductionism

(d)

microcosm

The fraction of \(1\over 273.16\) temperature of the triple point of water represents __________.

(a)

celsius

(b)

fahrenheit

(c)

centigrade

(d)

kelvin

A source having luminous intensity of one candela emits monochromatic radiation of frequency ________________.

(a)

5.4\(\times\)10¹⁴ Hz

(b)

54\(\times\)10¹⁴ Hz

(c)

4.5\(\times\)10¹⁴ Hz

(d)

\({1\over683}Hz\)

One picofarad is equal to ___________farad.

(a)

10^-18

(b)

10^-12

(c)

10^-6

(d)

10^-24

Scientist preferred platinum - Iridium alloy cylinder for making prototype of 1 kg standard of mass because it is unaffected by ______________.

(a)

temperature

(b)

pressure

(c)

time

(d)

amount of substance

If the error in the measurement of radius of a sphere is 3% then the error in the measurement of volume of the sphere will be ________________.

(a)

4%

(b)

6%

(c)

2%

(d)

9%