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Preeti Dabral 1 year, 10 months ago
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are: mass, length, time, temperature, electric current, amount of light, and amount of matter.
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Preeti Dabral 1 year, 10 months ago
The watt-hour is a unit of energy equal to one watt of output for an hour. It is equal to 3,600 joules. While the watt is the SI unit of power, electrical power consumption is usually measured in Kilowatt-hours for a household.
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Preeti Dabral 1 year, 10 months ago
The dimensional formula of energy or heat = u = [ ML2T-2 ].
Assume that, M1, L1, T1 and M2, L2, T2 are the units of mass, length and time in given two systems.
{tex}\therefore{/tex} M1 = 1 kg, M2 = {tex}\alpha{/tex} kg
L1 = 1 m, L2 = {tex}\beta{/tex} m
T1 = 1 s, T2 = {tex}\gamma{/tex} s
n1 and n2 are the magnitudes of heat or energy of system one and system two respectively.
For a given physical quantity, the product of its magnitude and unit is always constant.
n1u1 = n2u2
or {tex}n _ { 2 } = n _ { 1 } \frac { u _ { 1 } } { u _ { 2 } } = 4.2 \times \frac { \left[ \mathrm { M } _ { 1 } \mathrm { L } _ { 1 } ^ { 2 } \mathrm { T } _ { 1 } ^ { - 2 } \right] } { \left[ \mathrm { M } _ { 2 } \mathrm { L } _ { 2 } ^ { 2 } \mathrm { T } _ { 2 } ^ { - 2 } \right] }{/tex}
{tex}= 4.2 \left[ \frac { \mathrm { M } _ { 1 } } { \mathrm { M } _ { 2 } } \right] \times \left[ \frac { \mathrm { L } _ { 1 } } { \mathrm { L } _ { 2 } } \right] ^ { 2 } \times \left[ \frac { \mathrm { T } _ { 1 } } { \mathrm { T } _ { 2 } } \right] ^ { - 2 }{/tex}
{tex}= 4.2 \left[ \frac { 1 } { \alpha } \right] \times \left[ \frac { 1 } { \beta } \right] ^ { 2 } \times \left[ \frac { 1 } { \gamma } \right] ^ { - 2 }{/tex}
n2 = 4.2{tex}\alpha ^ { - 1 } \beta ^ { - 2 } \gamma ^ { 2 }{/tex} new unit
Therefore, 1 cal = {tex}4.2 \alpha ^ { - 1 } \beta ^ { - 2 } \gamma ^ { 2 }{/tex} new unit
Posted by Jahnvi Somani 1 year, 10 months ago
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Preeti Dabral 1 year, 10 months ago
Plan to go to a place by a vehicle. Take readings of odometer and speedometer after every 5 Minutes till you reach your destination. Record these observation in tabular form; plot graphs
Time (in Mins) Odometer (km) Speedometer (Km/Hr)
0 0 0
5 2 30
10 5 50
15 9 50
20 13 60
25 18 60
30 22 50
35 25 30
40 27 0
Motion is not uniform
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Deepak Handi 1 year, 9 months ago
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