1

IIT-JEE 1988

Fill in the Blanks
In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are _____________

$\left[M^{-3}L^{-2}T^4Q^4\right]$

Explanation

$\begin{array}{l}\begin{array}{l}\left[X\right]\;=\;\left[C\right]\;=\;\left[M^{-1}L^{-2}T^2Q^2\right]\\\left[Z\right]\;=\;\left[B\right]\;=\;\left[MT^{-1}Q^{-1}\right]\\\\\Rightarrow\;\left[Y\right]\;=\;\frac{\;\left[M^{-1}L^{-2}T^2Q^2\right]}{\;\left[MT^{-1}Q^{-1}\right]^2}\;\end{array}\\\\=\;\left[M^{-3}L^{-2}T^4Q^4\right]\\\\\\\\\\\end{array}$
2

IIT-JEE 1985

Fill in the Blanks
Plank' constant has dimension __________.

ML2T-1

Explanation

We know E = hv
So $h = {E \over v} = {{\left[ {M{L^2}{T^{ - 2}}} \right]} \over {\left[ {{T^{ - 1}}} \right]}} = \left[ {M{L^2}{T^{ - 1}}} \right]$

Questions Asked from Units & Measurements

On those following papers in Fill in the Blanks
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 1997 (1)
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IIT-JEE 1988 (1)
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IIT-JEE 1985 (1)
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