SATHEE: Physics And Measurement Question 131

Physics And Measurement Question 131

Question: A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = A y + B \tan C z$ , where $A, B$ and $C$ are constants. Which of the following do not have the same dimensions

[AMU (Engg.) 2001]

Options:

A) $x$ and $B$

B) $C$ and $z^{- 1}$

C) $y$ and $B / A$

D) $x$ and $A$

Show Answer

Answer:

Correct Answer: D

Solution:

$x = A y + B \tan C z$

From the dimensional homogenity

$[x] = [A y] = [B] \Rightarrow [\frac{x}{A}] = [y] = [\frac{B}{A}]$

$[C z] = [M^{0} L^{0} T^{0}] =$ Dimension less $x$ and $B$ ; $C$

and $Z^{- 1}; y$

and $\frac{B}{A}$

have the same dimension but $x$ and $A$ have the different dimensions.

Physics And Measurement Question 131

Question: A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = A y + B \tan C z$ , where $A, B$ and $C$ are constants. Which of the following do not have the same dimensions

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Physics And Measurement Question 131

Question: A physcial quantity x depends on quantities y and z as follows: x=Ay+Btan⁡Cz , where A,B and C are constants. Which of the following do not have the same dimensions

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: A physcial quantity $x$ depends on quantities $y$ and $z$ as follows: $x = A y + B \tan C z$ , where $A, B$ and $C$ are constants. Which of the following do not have the same dimensions