A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the sun and the earth in terms of the new unit, if light takes 8min and 20 s to cover this distance?

2

(a)

Express an acceleration of 10 m/s² in km/h².

2

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Which of the following length measurement is most accurate and why? 40.00 cm

2

(a)

What is common between bar and torr?

2

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Calculate the surface area of a solid cylinder of diameter 4 cm and height 20 cm in mm²

2

(a)

Magnitude of force F experienced by a certain object moving with speed \(\nu \)i s given by F = \(k\nu ^{ 2 }\), where k is constant. Find the dimensions of K.

2

(a)

In CGS system, the value of Stefan's constant \(\left( \sigma \right) \) is 5.67 x 10^-5  ergs^-1cm^-2K^-4. Write down its value in SI units.

2

(a)

If unit of force, velocity and energy are 100 dyne, 10c m/s and 400 ergs, respectively. What will be the unit of mass, length and time?

2

(a)

If \(x=a+bt+c{ t }^{ 2 }\), where x is in metre and t in second, what are the units of a,b, and c?

2

(a)

Check the correctness of the relation \({ \nu }^{ 2 }-{ u }^{ 2 }=2as\)by method of dimensions. The symbol have their using usual meaning.

2

(a)

What are derived units?

2

(a)

Define Atomic mass unit (a.m.u.).

2

(a)

What is the order of precision of an atomic clock?

2

(a)

Name four units used ill the measurement of extremely short distances.

2

(a)

What does LASER stand for?

2

(a)