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Question

The dimensional formula for plank's constant and angular momentum are
  1. [ML2T2]and[MLT1]
  2. [ML2T1]and[ML2T1]
  3. [ML3T1]and[ML2T2]
  4. [ML2T1]and[ML2T2]

A
[ML3T1]and[ML2T2]
B
[ML2T2]and[MLT1]
C
[ML2T1]and[ML2T1]
D
[ML2T1]and[ML2T2]
Solution
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Planck's constant, symbolized h, relates the energy in one quantum (photon) of electromagnetic radiation to the frequency of that radiation.

h=Ev=[ML2T2][T1]=[ML2T1]

Angular momentum = Moment of inertia × Angular velocity (Angular momentum)

=[ML2][T1]=[ML2T1]

So, correct answer is option (B).

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Q1
Match the following physical quantities with their respective dimensional formula:

(a) Angular Momentum(e) [ML2T3]
(b) Impulse(f) [ML2T1]
(c) Pressure(g) [MLT1]
(d) Power(h) [ML1T2]

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Q2
Match the physical quantities given in Column I with suitable dimensions expressed in Column II.
Column IColumn II
a) Angular momentumg) ML2T2
b) Latent heath) ML2Q2
c) Torquei) ML2T1
d) Capacitanej) ML3T1Q2
e) Inductancek) M1L2T2Q2
f) Resistivityl) L2T2

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Q3
Match the physical quantities given in Column I with suitable dimensions expressed in Column II.
Column IColumn II
a) Angular momentum1) M1L3T2
b) Torque2) MLT2
c) Gravitational constant3) ML2T2
d) Tension 4) ML2T1

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Q4
Match the following two columns:
Column IColumn II
(a) Electrical resistance(p) ML3T3A2
(b) Electrical potential(q) ML2T3A2
(c) Specific resistance(r) ML2T3A1
(d) Specific conductance(s) None of these

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Q5
Some physical constants are given in List - I and their dimensional formulae are given in List - II. Match the following :
List - IList - II
A) Planck's constante) [ML1T2]
B) Gravitational constantf) [ML1T1]
C) Bulk modulusg) [ML2T1]
D) Linear momentumh) [M1L3T2]

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