Chapter Practice: Objective Type Questions

Okay, I've converted the provided image containing text into a structured markdown format. Here's the result: ```markdown # CHAPTER PRACTICE ## OBJECTIVE Type Questions 1. The angle between A = i + j and B = i - j is **(a)** 45° **(b)** 90° **(c)** -45° **(d)** 180° 2. The quantities...

Okay, I've converted the provided image containing text into a structured markdown format. Here's the result: ```markdown # CHAPTER PRACTICE ## OBJECTIVE Type Questions 1. The angle between A = i + j and B = i - j is **(a)** 45° **(b)** 90° **(c)** -45° **(d)** 180° 2. The quantities Ax and Ay are called x and y-components of the vector A. Note that Ax is itself not a vector, but $Ai$ is a vector, and so too is Ayj. Using simple trigonometry, we can express Ax and Ay in terms of the magnitude of A and the angle it makes with the X-axis: $Ax = Acos\theta$ $Ay = Asin\theta$ Choose the correct figure on the basis of the given description. **(a)** y A Asine j x Acos\theta i **(b)** y A Asine j x Acos\theta i **(c)** **(d)** (c)y Acos\theta j y A sin\theta i 3. The direction of instantaneous velocity is shown vy by (a) Direction of v P x At (b) (c) Direction of v P x At (ii) A P X At (I) Direction of vi d) None of these at P d (iii) 10 4. The speed of a projectile at the maximum height is 1/2 its initial speed. Find the ratio of range of projectile to the maximum height attained. **(a)** $4\sqrt{3}$ **(b)** $\frac{4}{\sqrt{3}}$ **(c)**$\frac{\sqrt{3}}{4}$ **(d)** 6 5. The horizontal range of a projectile fired at an angle of 15 is $50m$. If it is fired with the same speed at an angle of 45, its range will be **(a)** 60 m **(b)** 71 m **(c)** 100 m **(d)** 141 m 6. Two cars A and B move along a concentric circular path of radius $r_A$ and $r_B$ with velocities $v_A$ and $v_B$ maintaining constant distance, then $\frac{v_A}{v_B}$ is equal to **(a)**$\frac{r_A}{r_B}$ **(b)**$\frac{r_B}{r_A}$ **(c)**$\sqrt{\frac{r_A}{r_B}}$ **(d)**$\sqrt{\frac{r_B}{r_A}}$ ## ASSERTION AND REASON **Directions (Q.Nos. 7-13)** In the following questions, two statements are given- one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below **(a)** Both Assertion and Reason are accurate, and Reason properly explains Assertion. **(b)** Both, Assertion and Reason are not correct. **(c)** Assertion is correct, but Reason is not. **(d)** Assertion is wrong, but Reason is right