✍️ Revision Notes on Vectors ✍️
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🏷 Some Basic Results of Vector Calculus:

1) Vectors in the same direction can be added by simply adding their magnitudes. But if the vectors to be added are in opposite directions, then their magnitudes are subtracted and not added.

2) Column vectors can be added by simply adding the values in each row.

3) You can find the magnitude of a vector in three dimensions by using the formula a2 = b2 + c2 + d2, where a is the magnitude of the vector, and b, c, and d are the components in each direction.

4) If l1a + m1b = l2a + m2b then l1 = l2 and m1 = m2

5) Collinear Vectors are also parallel vectors except that they lie on the same line.

6) When two vectors are parallel, the dot product of the vectors is 1 and their cross product is zero.

7)Two collinear vectors are always linearly dependent.

8) Two non-collinear non-zero vectors are always linearly independent

9) Three coplanar vectors are always linearly dependent.

10) Three non-coplanar non-zero vectors are always linearly independent

11) More than 3 vectors are always linearly dependent.

12) Three vectors are linearly dependent if they are coplanar that means any one of them can be represented as a linear combination of other two.

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Nomenclature of Alcohol

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💡Electricity💡

✍️ Introduction
➖If the electric charge flows through a conductor, such as a metallic wire, it is known as the electric current in the conductor.
➖A continuous and closed path of an electric current is known as an electric circuit.
➖In an electric circuit, usually, the direction of electric current known as positive charges, is considered as opposite to the direction of the flow of electrons, which are considered as negative charges.
➖The SI unit of electric charge is coulomb (C).
➖Coulomb is equivalent to the charge contained in closely 6 × 1018 electrons.
➖The electric current is expressed by a unit known as an ampere (A).
➖It was named after the French scientist Andre-Marie Ampere.
➖One ampere constitutes by the flow of one coulomb of charge per second, i.e., 1 A = 1 C/1 s.
➖The instrument that measures electric current in a circuit is known as ammeter.
➖The electric current flows in the circuit starting from the positive terminal to the negative terminal of the cell through the bulb and ammeter.


✍️ Electric Potential and Potential Difference
➖The electrons of a conductor move only if there is a difference of electric pressure, known as the potential difference.
➖The chemical action within a cell produces the potential difference across the terminals of the cell. Further, when this cell is linked to a conducting circuit element, the potential difference sets the charges in motion in the conductor and generates an electric current.
➖Alessandro Volta 1745–1827, an Italian physicist, first noticed the electric potential difference; therefore, the SI unit of electric potential difference is given volt (V).
➖The instrument that measures the potential difference is known as the voltmeter.

✍️ Electric Power
➖The rate at which electric energy is dissipated or consumed in an electric circuit is known as electric power.
➖The SI unit of electric power is watt (W).

NTA Will release the answer key and scanned image of the OMR sheet by 30th August. Results will be announced by 7th September

भौतिक राशियॉ और उनके मात्रक

⏣ विद्घुत धारा ► एम्पियर

⏣ विद्घुत प्रतिरोध ► ओम

⏣ शक्‍ति ► जूल प्रति.से या वाट

⏣ दाब ► पास्‍कल

⏣ विशिष्‍ट ऊष्‍मा ► जूल प्रति किग्रा

⏣ समय ► सेकण्‍ड

⏣ तरंग दैर्ध्य ► एंगस्‍ट्रम

⏣ परम ताप ► केल्विन

⏣ बल ► न्‍यूटन

⏣ विद्घुत विभव ► वोल्‍ट

⏣ लम्‍बाई ► मीटर

⏣ ऊष्‍मा ► जूल

⏣ वेग ► मीटर प्रति सेकण्‍ड

⏣ आवृति ► हर्ट्ज

⏣ ऊर्जा ► जूल

⏣ आयतन ► घन मीटर

⏣ ध्‍वनि तीव्रता ► डेसीबल

⏣ गुप्‍त ऊष्‍मा ► जूल प्रति किग्रा

⏣ कार्य ► न्‍यूटन मी. या जूल

⏣ विद्घुत धारिता ► फैराड

⏣ तरंग लंबाई ► मीटर

⏣ चुंबकीय क्षेत्र ► गॉस

⏣ चुंबकीय प्रेरण ► गाउस

⏣ तलीय कोण ► रेडियन

⏣ विद्घुत ऊर्जा ► किलोवाट घंटा

⏣ समुद्र की गहराई ► फैदम

⏣ विद्घुत क्षेत्र तीव्रता ► न्‍यूटन प्रति कूलम्‍ब

⏣ चुंबकीय फ्लक्‍स ► वेबर, मेक्‍सवेल

⏣ क्षेत्रफल ► वर्गमीटर

⏣ ज्‍योति फ्लक्‍स ► ल्‍यूमेन

⏣ लेंस की क्षमता ► डाइऑप्‍टर

⏣ संवेग/आवेग ► न्‍यूटन सेकण्‍ड

⏣ जडत्‍व आघूर्ण ► किग्रा. वर्गमी.

⏣ विद्घुत आवेश ► कुलम्‍ब

⏣ चुंबकीय तीव्रता ► टेसला

⏣ पराध्‍वनिक गति ► मैक

⏣ ताप ► केल्विन

⏣ द्रव्‍यमान ► किलोग्राम

⏣ पृष्‍ठ तनाव ► न्‍यूटन प्रति मीटर

⏣ चाल ► मीटर प्रति सेकण्‍ड

⏣ वायुमंडलीय दाव ► बार

⏣ कोणीय वेग ► रेडियन प्रति सेकण्‍ड

⏣ खगोलीय दूरी ► प्रकाश वर्ष

⏣ ज्‍योति तीव्रता ► कैण्‍डेला

⏣ विभवांतर ► वोल्‍ट

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