The SI units of magnetic field is _____.

The dimensions of energy per unit volume are the same as those of _____.

A physical quantity is represented by X = M^a L^b T^-c . If percentage error in the measurement of M, Land Tare \(\alpha \)%, \(\beta \)% and \(\gamma \)% respectively, then total percentage error is _____.

'Parsec' is the unit of _____.

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

The velocity of a body moving in viscous medium is given by v =\(\frac { A }{ B } \left[ 1-{ e }^{ \frac { -t }{ b } } \right] \)where t is time, A and B are constants .Then the dimensions ot A are _____.

The dimensions of entropy are _____.

The photograph of a house occupies an area of 1.75 cm² on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 m² . What is the linear magnification of the projector-screen arrangement.

What is the technique used for measuring large time intervals?

Which of the following length measurement is most accurate and why? 0.004 mm

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

The mass of a proton is 1.67 x 10^-27 kg. How many protons would make 1g?

State the number of significant figures in the following :
(a) 0.007 m².
(b) 2.64 × 10²⁴ kg
(c) 0.2370 g/cm³
(d) 6.320 J
(e) 6.032 N/m².
(f) 0.0006032 m².

The nearest star to our solar system is 4.29 light years away. How much is this distance in terms of par sec? How much parallax would this star show viewed from two locations of the earth six months apart in its orbit around the sun?

Solve the following and express the result to an appropriate number of significant figures.
Subtract 63.54 kg from 187.2 kg

Why length, mass and time are chosen as base quantities in mechanics?

The number of particles crossing per unit area perpendicular to x-axis in unit time N is given by \(N=-D\left(\frac{n_{2}-n_{1}}{x_{2}-x_{1}}\right)\) where n₁ and n ₂ are the number of particles per unit volume at x₁ and x₂ respectively. Deduce the dimensional formula for D.

Write down the number of significant figure in the following.
3.08 x 10¹¹

Write down the number of significant figure in the following.
1.2340

Obtain a relation between the distance travelled by a body in time t, if its initial velocity be u and acceleration f.

The Reynold's number n_R for a liquid flowing through a pipe depends upon:
(i) the density of the liquid p,
(ii) the coefficient of viscosity n 
(iii) the speed of flow of the liquid v, and
(iv) the radius of the tuber