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Units and Measurements

JEE Main 2024 (Online) 30th January Evening ShiftMCQEasy📈 Topic in 22% papers+4−1
Ques. 1JEE Main 2024, 30 January (Evening Shift)

If mass is written as m=kcPG-1/2h1/2 then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

  1. 1/3
  2. -1/3
  3. 1/2
  4. 2

Answer

(3) 1/2

Solution

[c]= LT-1, [G]= M-1L3T-2, [h]= ML2T-1

M1L0T0=[ LT-1]P[ M-1L3T-2]-1/2[ ML2T-1]1/2

Powers of L: P- 32+1=0

P= 12 (T: -P+1- 12=0 ✓)

Answer: (3)

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Ques. 2JEE Main 2024, 29 January (Morning Shift)

The resistance R= VI where V=(200 5) V and I=(20 0.2) A, the percentage error in the measurement of R is :

  1. 5.5%
  2. 3%
  3. 7%
  4. 3.5%
Ques. 3JEE Main 2024, 29 January (Evening Shift)

A physical quantity Q is found to depend on quantities a, b, c by the relation Q= a4b3c2. The percentage error in a, b and c are 3\%, 4\% and 5\% respectively. Then, the percentage error in Q is :

  1. 43%
  2. 34%
  3. 66%
  4. 14%
Ques. 4JEE Main 2024, 27 January (Morning Shift)

Identify the physical quantity that cannot be measured using spherometer :

  1. Radius of curvature of concave surface
  2. Specific rotation of liquids
  3. Thickness of thin plates
  4. Radius of curvature of convex surface
Ques. 5JEE Main 2024, 27 January (Morning Shift)

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

  1. Statement I is true but Statement II is false
  2. Both Statement I and Statement II are false
  3. Both Statement I and Statement II are true
  4. Statement I is false but Statement II is true
Ques. 6JEE Main 2024, 27 January (Evening Shift)

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below :

  1. Both (A) and (R) are correct and (R) is the correct explanation of (A)
  2. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. (A) is true but (R) is false
  4. (A) is false but (R) is true
Ques. 7JEE Main 2024, 27 January (Evening Shift)

The equation of state of a real gas is given by (P+ aV2 )(V-b)=RT, where P, V and T are pressure, volume and temperature respectively and R is the universal gas constant. The dimensions of ab2 is similar to that of :

  1. P
  2. RT
  3. PV
  4. R

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