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  • Can someone help me with this, If A & B are units of mass, and 1A = 3B and 1 gram = 21B then how much inkg would a box carrying 77A and 420B weigh?

If A & B are units of mass, and 1A = 3B and 1 gram = 21B then how much in kg would a box carrying 77A and 420B weigh?

  • Option 1)

    31

  • Option 2)

    21

  • Option 3)

    13

  • Option 4)

    0.031

 

Answers (1)

best_answer

As we learnt,

 

Dimensional Analysis -

While calculating, the units should be the same all across the equation

- wherein

The units for each physical quantity should be the same throughout th equation. eg. If temperature is involved, the units should be kelvin on both sides

 

 

 

Lets express all units into grams first 

\\*1A = 3B = 3\times\frac{1}{21} g = \frac{1}{7}g \\*B = \frac{1}{21}g

Weight of the box 

\\*= 77A + 420B \\*=77\times\frac{1}{7}g + 420\times\frac{1}{21} g \\*= 11g + 20g \\* = 31g

\therefore Solution is D

 

 


Option 1)

31

This is incorrect

Option 2)

21

This is incorrect

Option 3)

13

This is incorrect

Option 4)

0.031

This is correct

Posted by

Plabita

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