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 |
 59%
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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%
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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 |
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A wire has a mass of \((0.3\pm0.003)\) grams, a radius of \((0.5\pm 0.005)\) mm, and a length of \((0.6\pm0.006)\) cm. The maximum percentage error in the measurement of its density will be:
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)

Subtopic:  Errors |
 63%
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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 |
 75%
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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 |
 77%
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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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Assertion : Linear mass density has the dimensions of [M1L-1To].

Reason : Because density is always mass per unit volume.

  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 |
 53%
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Assertion : Rate of flow of a liquid is defined as volume of liquid flowing per second.

Reason : The dimensions of rate of flow are M0L1T-1.

  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 |
 64%
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