Question
Download Solution PDFनिम्नलिखित में से कौन सा घनत्व का आयामी सूत्र है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
- आयामी सूत्र को द्रव्यमान, लंबाई, समय और एम्पियर के संदर्भ में भौतिक राशि की अभिव्यक्ति के रूप में परिभाषित किया जाता है।
व्याख्या:
- घनत्व: इसे प्रति इकाई आयतन द्रव्यमान के रूप में परिभाषित किया गया है।
यानी \(Density = \frac{{Mass}}{{Volume}}\)
अब,
द्रव्यमान का आयामी सूत्र = [M]
आयतन का आयामी सूत्र = [L3]
\(Density = \frac{{\left[ M \right]}}{{\left[ {{L^3}} \right]}}\)
∴ घनत्व = ML-3 T0
∴ घनत्व का आयामी सूत्र है [ML-3 T0]।
- कुछ मूलभूत आयामी सूत्र:
|
क्रम संख्या |
राशि |
सामान्य प्रतीक |
SI इकाई |
आयाम |
|
1 |
वेग |
v, u |
ms-1 |
LT-1 |
|
2 |
त्वरण |
a |
ms-2 |
LT-2 |
|
3 |
बल |
F |
न्यूटन (N) |
M L T-2 |
|
4 |
संवेग |
p |
Kg-ms-1 |
M L T-1 |
|
5 |
गुरुत्वाकर्षण स्थिरांक |
G |
N-m2Kg-2 |
L3 M-1 T-2 |
|
6 |
बल आघूर्ण |
τ |
N-m |
M L2 T-2 |
|
7 |
आयतन नियतांक |
B |
Nm2 |
M L-1 T-2 |
|
8 |
ऊर्जा |
E, U, K |
जूल (J) |
M L2 T-2 |
|
9 |
ऊष्मा |
Q |
जूल (J) |
M L2 T-2 |
|
10 |
ताप |
P |
Nm-2 (Pa) |
M L-1 T-2 |
|
11 |
विद्युत क्षेत्र |
E |
Vm-1, NC-1 |
M L I-1 T-3 |
|
12 |
विभव (वोल्टेज) |
V |
V, JC-1 |
M L2 I-1 T-3 |
|
13 |
चुंबकीय क्षेत्र |
B |
टेसला (T), Wb m-1 |
M I-1T-2 |
|
14 |
चुंबकीय प्रवाह |
ΦB |
Wb |
M L2 I-1 T-2 |
|
15 |
प्रतिरोध |
R |
ओम (Ω) |
M L2 I-2 T-3 |
|
16 |
वैद्युतवाहक बल |
E |
वोल्ट (V) |
M L2 I-1 T-3 |
| 17 | घनत्व | ρ, d | kg/m3 | ML-3 T0 |
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