﻿ A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg m2 sñ2. Suppose we employ a system of units in which the unit of mass equals αkg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2  in terms of the new units.  from Physics Units and Measurement Class 11 CBSE

Fill in the blanks:
a) The volume of a cube of side 1 cm is equal to .....m3

10-6

1 cm =

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State the number of significant figures in the following : (a) 0.007 m (b) 2.64  kg (c) 0.2370 g cm-3 d) 6.320 J e)   6.032 N m-
f)  0.0006032 m2

The number of significant figures are:

(a) One (b) Three (c) Four d) Three e) Four f) seven
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Fill in the blanks :
c) A vehicle moving with a speed of 18 km h–1covers....m in 1 s

Tips: -

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The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to
...(mm)2

1.5 x 104 mm2

The total surface area of a cylinder of radius r and height h is

S = 2πr (r + h).

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# A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg m2 sñ2. Suppose we employ a system of units in which the unit of mass equals αkg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2  in terms of the new units.

We know that dimensional formula of heat energy is

It is given that,

1 cal = 4.2J

In SI system,

M= 1 kg, L= 1 m,  T= 1 s

In new system of units,

We  know,

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