SATHEE: Physics And Measurement Question 188

Physics And Measurement Question 188

Question: A bus travels distance $x_{1}^{}$ when accelerates from rest at constant rate $a_{2}^{}$ for some time and after that travels a distance $x_{2}^{}$ when decelerates at a constant rate $a_{2}^{}$ to come to rest. A student established a relation $x_{1}^{} + x_{2}^{} = \frac{a_{1}^{} a_{2}^{} t_{}^{2}}{2 (a_{1}^{} + a_{2}^{})}$ Choose the correct option(s).

Options:

A) The relation is dimensionally correct

B) The relation is dimensionally incorrect

C) The relation may be dimensionally correct

D) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

[a] LHS= $[x_{1} + x_{2}] = [x_{1}] = [x_{2}] = [M^{0} L T^{0}]$ RHS= $[\frac{a_{1} a_{2} t^{2}}{2 (a_{1} + 2 a)}] = \frac{[L T^{- 2}] [L T^{- 2}] [T^{2}]}{[L T^{- 2}]} = [M^{0} L T^{0}]$

$∵$ LHS=RHS According to homogeneity principle, equation is dimensionally correct.

Hence, option [a] is correct.

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Physics And Measurement Question 188

Question: A bus travels distance x1 when accelerates from rest at constant rate a2 for some time and after that travels a distance x2 when decelerates at a constant rate a2 to come to rest. A student established a relation x1+x2=a1a2t22(a1+a2) Choose the correct option(s).

Options:

Answer:

Solution:

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