A simple pendulum of length L has period T. If length is increased by 4 times, new period is MCQ with Answer and Explanation

A simple pendulum of length L has period T. If length is increased by 4 times, new period is
A. 2T
B. T/4
C. 4T
D. T/2
Answer: Option A
Solution (By JKSSB Mock Tests)
T ∝ √L, so √4 = 2 times.

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Practice More Physics Questions

Question #1
Which of the following statements is perfectly true regarding uniform circular motion?
A. Velocity is constant but speed changes.
B. Speed is constant but velocity changes continuously.
C. Both speed and velocity are constant.
D. Both speed and velocity change continuously.

Correct Answer: Option B


Explanation:
In uniform circular motion, the magnitude of velocity (speed) remains constant. However, the direction of motion is continuously changing tangentially at every point on the circular path. Since velocity is a vector quantity (requiring both magnitude and direction), a change in direction means the velocity is changing continuously, resulting in an accelerated motion.

This question belongs to: Science Physics
Question #2
A force of 5 N gives mass m1 acceleration 8 m/s² and mass m2 acceleration 24 m/s². What acceleration would it give if both masses tied together?
A. 4 m/s²
B. 16 m/s²
C. 6 m/s²
D. 32 m/s²

Correct Answer: Option C


Explanation:
m1 = 5/8 = 0.625 kg, m2 = 5/24 ≈ 0.2083 kg. Total m=0.8333 kg. a = 5/0.8333 ≈ 6 m/s².

This question belongs to: Science Physics
Question #3
The velocity-time graph of a particle moving in a straight line is shown. The displacement of the particle from t=0 to t=4s is: [Graph: triangle from (0,0) to (2,10) to (4,0)]
A. 30 m
B. 40 m
C. 20 m
D. 10 m

Correct Answer: Option C


Explanation:
Displacement = area under velocity-time graph. The graph forms a triangle with base 4 s and height 10 m/s. Area = ½ × base × height = ½ × 4 × 10 = 20 m. Since velocity is always positive, displacement equals distance travelled. Graphical analysis is powerful: area gives displacement, slope gives acceleration. This triangle represents motion with uniform acceleration followed by uniform retardation. Exam tip: For piecewise linear v-t graphs, calculate area of each geometric segment separately. Such graph-based questions assess conceptual clarity in motion analysis.

This question belongs to: Science Physics