The decimal equivalent of binary number 1101 is MCQ with Answer and Explanation

The decimal equivalent of binary number 1101 is
A. 11
B. 13
C. 9
D. 15
Answer: Option B
Solution (By JKSSB Mock Tests)
1×8 + 1×4 + 0×2 + 1×1 = 13.

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Practice More Physics Questions

Question #1
The focal length of a concave mirror is 20 cm. An object is placed at 30 cm from the mirror. The image distance is:
A. 12 cm
B. 20 cm
C. 30 cm
D. 60 cm

Correct Answer: Option D


Explanation:
Mirror formula: 1/f = 1/u + 1/v. Sign convention: f negative for concave mirror? Wait, standard Cartesian: f = -20 cm (concave), u = -30 cm (object real). Thus 1/(-20) = 1/(-30) + 1/v ⇒ -1/20 = -1/30 + 1/v ⇒ 1/v = -1/20 + 1/30 = (-3+2)/60 = -1/60 ⇒ v = -60 cm. Magnitude 60 cm, negative sign indicates real image in front of mirror. Many exams use magnitude-only options; here 60 cm is correct. Memory tip: 'Concave mirror: object beyond C (2f) ⇒ image between F and C, real, inverted'. This numerical tests mirror formula application with sign conventions, crucial for optics in competitive exams.

This question belongs to: Science Physics
Question #2
Assertion (A): In a free fall, a heavy object falls faster than a light object. Reason (R): Acceleration due to gravity is same for all objects.
A. A is false, R is true
B. A is true, R is false
C. Both A and R true, R not correct explanation
D. Both A and R true, R is correct explanation

Correct Answer: Option A


Explanation:
In vacuum, all objects fall at same rate. A is false. R is true. So C correct.

This question belongs to: Science Physics
Question #3
The minimum distance to hear an echo (persistence of hearing 0.1 s, speed 340 m/s) is
A. 17 m
B. 68 m
C. 34 m
D. 10 m

Correct Answer: Option A


Explanation:
d = (v×t)/2 = (340×0.1)/2 = 17 m.

This question belongs to: Science Physics