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Assertion : The equation y= 2x + t is p...

Assertion : The equation `y= 2x + t` is physical incorrect if x & y are distances and t is time.
Reason : Quantities with different dimension cannot be added or subtracted.

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To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that the equation \( y = 2x + t \) is physically incorrect if \( x \) and \( y \) are distances and \( t \) is time. ### Step 2: Analyze the Units - Let’s denote the units: - \( x \) (distance) has units of meters (m). - \( y \) (distance) also has units of meters (m). - \( t \) (time) has units of seconds (s). ### Step 3: Check the Right-Hand Side of the Equation The right-hand side of the equation is \( 2x + t \): - The term \( 2x \) has units of meters (m) since \( x \) is in meters. - The term \( t \) has units of seconds (s). ### Step 4: Identify the Dimensional Inconsistency In the equation \( y = 2x + t \): - The left-hand side \( y \) has units of meters (m). - The right-hand side \( 2x + t \) contains a term with units of meters (m) and a term with units of seconds (s). Since we cannot add quantities with different dimensions (meters and seconds), the equation is indeed physically incorrect. ### Step 5: Understand the Reason The reason states that quantities with different dimensions cannot be added or subtracted, which is a true statement. ### Conclusion Both the assertion and the reason are correct: - The assertion is correct because the equation mixes dimensions (distance and time). - The reason is correct as it explains why the assertion holds true. ### Final Answer Both assertion and reason are correct, and the reason is a correct explanation for the assertion. ---

To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that the equation \( y = 2x + t \) is physically incorrect if \( x \) and \( y \) are distances and \( t \) is time. ### Step 2: Analyze the Units - Let’s denote the units: - \( x \) (distance) has units of meters (m). ...
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