The resistance of a wire is R. If its length is doubled and area is halved, the new resistance is MCQ with Answer and Explanation

The resistance of a wire is R. If its length is doubled and area is halved, the new resistance is
A. R
B. R/2
C. 4R
D. 2R
Answer: Option C
Solution (By JKSSB Mock Tests)
R ∝ L/A. New L'=2L, A'=A/2 => R' = ρ(2L)/(A/2) = 4ρL/A = 4R. Alternatively, volume constant? Not given, here both changed independently. So 4R.

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Practice More Physics Questions

Question #1
A convex lens forms a real image of an object. If the lower half of the lens is covered, the image will:
A. Be half-formed
B. Disappear completely
C. Become virtual
D. Be fainter but complete

Correct Answer: Option D


Explanation:
Covering part of a lens reduces the amount of light reaching the image, making it fainter, but the entire image is still formed because light from each object point can pass through the uncovered portion and converge to the corresponding image point. Image position, size, and nature remain unchanged. Memory aid: 'Partial lens coverage ⇒ reduced intensity, not partial image'. This conceptual question tests understanding of image formation principles, commonly featured in competitive exams to identify misconceptions about ray optics. Always recall that every point on lens contributes to entire image.

This question belongs to: Science Physics
Question #2
The boiling point of water on Kelvin scale is
A. 273.15 K
B. 100 K
C. 0 K
D. 373.15 K

Correct Answer: Option D


Explanation:
Boiling point of water = 100°C = 100 + 273.15 = 373.15 K. Melting point of ice 0°C = 273.15 K. Kelvin is SI unit, no degree symbol.

This question belongs to: Science Physics
Question #3
A projectile is fired with velocity u at angle 45° with horizontal. Its time of flight is (g = 10 m/s²)
A. u/5√2
B. u/5
C. √2 u/10
D. √2 u/5

Correct Answer: Option C


Explanation:
T = 2u sinθ/g = 2u sin45°/10 = 2u(1/√2)/10 = √2 u/10. SSC often tests projectile basics.

This question belongs to: Science Physics