Assertion (A): A convex mirror is used as a rear-view mirror in vehicles. Reason (R): A convex mirror always forms a virtual, erect, and diminished image, giving a wider field of view. MCQ with Answer and Explanation

Assertion (A): A convex mirror is used as a rear-view mirror in vehicles. Reason (R): A convex mirror always forms a virtual, erect, and diminished image, giving a wider field of view.
A. Both A and R are true and R is the correct explanation of A.
B. A is true but R is false.
C. A is false but R is true.
D. Both A and R are true but R is NOT the correct explanation of A.
Answer: Option A
Solution (By JKSSB Mock Tests)
Convex mirrors bulge outwards, which inherently provides a much wider field of view compared to plane mirrors. Regardless of the object's position, a convex mirror reliably produces virtual, erect, and diminished (smaller) images. This allows a driver to see a large area of the road behind them in a small mirror, making R the exact explanation for A.

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Question #1
The dimensional formula of pressure is
A. [ML⁻¹T⁻²]
B. [ML²T⁻²]
C. [M⁰L⁻¹T⁻²]
D. [MLT⁻²]

Correct Answer: Option A


Explanation:
Pressure = Force/Area. Force = mass × acceleration, dimensions [MLT⁻²]. Area = L². So pressure = [MLT⁻²]/[L²] = [ML⁻¹T⁻²]. This is also the dimension of stress. Common exam trap: confuse with energy density which is also [ML⁻¹T⁻²].

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Question #2
The coefficient of performance of a refrigerator is defined as:
A. Heat extracted / Work input
B. Heat rejected / Work input
C. Work input / Heat extracted
D. Work input / Heat rejected

Correct Answer: Option A


Explanation:
Coefficient of performance (COP) for refrigerator: COP = Q₂ / W, where Q₂ is heat extracted from cold reservoir, W is work input. By energy conservation, Q₁ = Q₂ + W (heat rejected to hot reservoir). COP > 1 typically. Option A is inverse; C and D relate to heat engine efficiency. Memory aid: 'Refrigerator COP = desired output (cooling) / work input'. This thermodynamics definition is frequently tested in competitive exams. Always distinguish refrigerator COP (cooling effect per work) from heat engine efficiency (work output per heat input).

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The slope of a distance-time graph for a body at rest is
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B. Negative
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Correct Answer: Option A


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