खालीलपैकी कोणते घनतेचे मितीय सूत्र आहे?

  1. [M0LT-1]
  2. [MLT-2]
  3. [ML-3T0]
  4. [M0LT-1]

Answer (Detailed Solution Below)

Option 3 : [ML-3T0]
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Detailed Solution

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संकल्पना:

  • मितीय सूत्र हे भौतिक राशीचे वस्तुमान, लांबी, वेळ आणि अँपियरच्या संदर्भात असलेली पदावली आहे.

स्पष्टीकरण:

  • घनता: ही प्रति एकक आकारमानाचे वस्तुमान म्हणून परिभाषित केली जाते.

म्हणजेच, घनता = वस्तुमान/आकारमान

आता,

वस्तुमानाचे मितीय सूत्र = [M]

आकारमानाचे मितीय सूत्र = [L3]

घनता \(= \frac{{\left[ M \right]}}{{\left[ {{L^3}} \right]}}\)

 घनता = ML-3 T0

∴ घनतेचे मितीय सूत्र [ML-3 T0] आहे.

Important Points

  • काही मूलभूत मितीय सूत्रे:

अ. क्र.

राशी

सामान्य चिन्ह

SI एकक

मितीय सूत्र

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

गुरुत्व स्थिरांक

G

N-m2Kg-2

L3 M-1 T-2

6

आघूर्ण (टॉर्क)

τ

N-m

M L2 T-2

7

आयतन मापांक

B

Nm2

M L-1 T-2

8

ऊर्जा

E, U, K

जूल (J)

M L2 T-2

9

उष्णता

Q

जूल (J)

M L2 T-2

10

दाब

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 (व्होल्टेज)

V

V, JC-1

M L2 I-1 T-3

13

चुंबकीय क्षेत्र

B

टेस्ला (T), Wb m-1

M I-1T-2

14

चुंबकीय अभिवाह

ΦB

Wb

M L2 I-1 T-2

15

रोध

R

ओम (Ω)

M L2 I-2 T-3

16

विद्युतगामक बल

E

व्होल्ट (V)

M L2 I-1 T-3

17 घनता ρ, d kg/m3 ML-3 T0
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