विमाएं
भौतिक राशियों के व्युत्पन्न मात्रक निकालने के लिए मात्रकों पर जो घातें लगानी पड़ती हैं, उन्हें उस राशि की विमाएँ कहते हैं। यदि किसी राशि की विमाएँ लम्बाई में Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {a}} , द्रव्यमान में Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {b}} , समय में Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {c}} तथा ताप में Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {d}} हो तो उस राशि की विमाओं को निम्नलिखित प्रकार से प्रदर्शित किया जाता है—
(Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {L}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {a}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {M}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {b}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {T}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {c}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {Q}} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\mathbf {d}} )
उपर्युक्त सूत्र को इस राशि का विमीय सूत्र कहते हैं।
व्युत्पन्न भौतिक राशि | अन्य भौतिक राशियों से सम्बन्ध | विमीय सूत्र |
---|---|---|
क्षेत्रफल | लम्बाई Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times चौड़ाई | L2 |
आयतन | लम्बाई Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times चौड़ाई Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times मोटाई | L3 |
वेग | विस्थापन / समय | LT-1 |
त्वरण | वेग परिवर्तन / समय | LT-2 |
आवेग | बल Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times समय | MLT-1 |
बल | द्रव्यमान Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times त्वरण | MLT-2 |
कार्य | बल Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times विस्थापन | ML2T-2 |
शक्ति | कार्य / समय | ML2T-3 |
घनत्व | द्रव्यमान / आयतन | ML-3 |
संवेग | द्रव्यमान Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times वेग | MLT-1 |
दाब | बल / क्षेत्रफल | ML-1T-2 |
बल आघूर्ण | बल Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times दूरी | ML2T-2 |
प्रतिबल | बल / क्षेत्रफल | ML-1T-2 |
विकृति | लम्बाई में वृद्धि / प्रारम्भिक वृद्धि | L0 |
पृष्ठ तनाव | बल / लम्बाई | MT-2 |
कोणीय वेग | कोण / समय | T-1 |
जड़त्व आघूर्ण | द्रव्यमान Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times (दूरी)2 | ML2 |
कोणीय संवेग | जड़त्व आघूर्ण Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): \times कोणीय वेग | ML2T-1 |
अदिश राशियाँ
- REDIRECTसाँचा:मुख्य
जिन भौतिक राशियों को पूर्णतः निरूपित करने के लिए केवल परिमाण की आवश्यकता होती है, दिशा की नहीं, उन्हें अदिश राशियाँ कहते हैं।
सदिश राशियाँ
- REDIRECTसाँचा:मुख्य
जिन भौतिक राशियों को पूर्णतया निरूपित करने के लिए परिमाण के साथ–साथ दिशा की भी आवश्यकता पड़ती है, उन्हें सदिश राशियाँ कहते हैं।
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