If the constant of gravitation (G), Planck's constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is 

(1) h1/2c3/2G1/2

(2) h1/2c3/2G1/2

(3) h1/2c3/2G1/2

(4) h1/2c3/2G1/2

Subtopic:  Dimensions |
 64%
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X = 3YZ2 find dimension of Y in (MKSA) system, if X and Z are the dimension of capacity and magnetic field respectively

(1) M3L2T4A1

(2) ML–2

(3) M3L2T4A4

(4) M3L2T8A4

Subtopic:  Dimensions |
From NCERT
PMT - 2003
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In the relation P=αβeαZkθ, P is pressure, Z is the distance, k is the Boltzmann constant and θ is the temperature. The dimensional formula of β will be:

(1) [M0L2T0]

(2) [M1L2T1]

(3) [M1L0T1]

(4) [M0L2T1]

Subtopic:  Dimensions |
 58%
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The frequency of vibration of string is given by ν=p2lFm1/2. Here p is number of segments in the string and l is the length. The dimensional formula for m will be

(1) [M0LT1]

(2) [ML0T1]

(3) [ML1T0]

(4) [M0L0T0]

Subtopic:  Dimensions |
 69%
From NCERT
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Column I Column II
 (i) Curie  (A) MLT–2
 (ii) Light year  (B) M
 (iii) Dielectric strength  (C) Dimensionless
 (iv) Atomic weight  (D) T
 (v) Decibel  (E) ML2T–2
   (F) MT–3
   (G) T–1
   (H) L
   (I) MLT–3I–1
   (J) LT–1

Choose the correct match 

(1) (i) G, (ii) H, (iii) I, (iv) B, (v) C

(2) (i) D, (ii) H, (iii) I, (iv) B, (v) G

(3) (i) G, (ii) H, (iii) I, (iv) B, (v) G

(4) None of the above

Subtopic:  Dimensions |
 50%
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A wire has a mass of 0.3 ± 0.003 g, a radius of 0.5 ± 0.005 mm, and a length of 0.6 ± 0.006 cm. The maximum percentage error in the measurement of its density will be

1. 1

2. 2

3. 3

4. 4

Subtopic:  Errors |
 62%
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If \(97.52\) is divided by \(2.54\), the correct result in terms of significant figures is:

1. \( 38.4 \) 2. \(38.3937 \)
3. \( 38.394 \) 4. \(38.39\)
Subtopic:  Significant Figures |
 73%
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Assertion :Light year’ and ‘Wavelength’ both measure distance.

Reason : Both have dimensions of time.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
Subtopic:  Dimensions |
 76%
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Assertion : Light year and year, both measure time.

Reason : Because light year is the time that light takes to reach the earth from the sun.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
Subtopic:  Dimensions |
 76%
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Assertion : Force cannot be added to pressure.

Reason : Because their dimensions are different.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
Subtopic:  Dimensions |
 81%
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