JMI 11th Science Entrance Paper 2026 Answer Key

36. A body moves along a curved path of a quarter circle. The ratio of distance to displacement is

(a) 7:11

(b) 11:7

(d) $11:7\sqrt{2}$

Answer:

(d)

11:7\sqrt{2}

Explanation:

The distance traveled along a quarter circle is

\frac{\pi r}{2}

. The displacement (straight line) is

r\sqrt{2}

. The ratio is

\frac{\pi r}{2} : r\sqrt{2} = \pi : 2\sqrt{2}

. Using

\pi \approx \frac{22}{7}

, the ratio becomes

\frac{22}{7 \times 2\sqrt{2}} = \frac{11}{7\sqrt{2}}

37. The area under a speed – time graph is represented by the unit

(a) m

(b) $m^{2}$

(d) $m^{-1}$

Answer:

Explanation:

38. By applying a force of 1 N, one can hold a body whose mass is approximately equal to

(a) 100 mg

(b) 100 g

(d) 10 kg

Answer:

Explanation:

Weight

W = m \times g

. Setting

W = 1 \text{ N}

and using

g \approx 9.8 \text{ m/s}^2

(approx 10),

1 = m \times 10

, giving

m = 0.1 \text{ kg}

, which is 100 grams.

39. If a constant force acts on a body initially kept at rest, the distance moved by the body in time t is proportional to

(a) t

(b) $t^{2}$

(d) $t^{4}$

Answer:

Explanation:

A constant force produces a constant acceleration ($a$). From Newton’s second equation of motion,

s = ut + \frac{1}{2}at^2

. Since initial velocity

u = 0

s = \frac{1}{2}at^2

, meaning distance is proportional to

t^2

40. Two bodies A and B of masses 100 g and 200 g respectively are dropped near the earth’s surface. Let the accelerations of A and B be $a_1$ and $a_2$ respectively.

(a) $a_1=a_2$

(b) $a_1>a_2$

(d) $a_1\ne a_2$

Answer:

(a)

a_1=a_2

Explanation:

Acceleration due to gravity near the Earth’s surface is independent of the mass of the falling object. Therefore, both experience the same acceleration (

g

41. An object of mass 2 kg is immersed in a tank of water. The buoyant force acting on the object is 19.60 N. How many liters of water get displaced by the object?

(a) 3.92 L

(b) 2.00 L

(d) 1.00 L

Answer:

Explanation:

Archimedes’ principle states the buoyant force equals the weight of the displaced fluid.

19.60 \text{ N} = m_{\text{water}} \times 9.8 \text{ m/s}^2 \rightarrow m_{\text{water}} = 2 \text{ kg}

. Since the density of water is 1 kg/L, 2 kg of water equals 2.00 Liters.

42. A girl stands on a box having dimensions 60 cm length, 40 cm breadth and 20 cm height in three ways. In which of the following cases, pressure exerted by the box will be maximum?

(a) maximum when length and breadth form the base

(b) maximum when breadth and width (height) form the base

(d) is same in all the above three cases

Answer:

Explanation:

43. Which of the following is not the unit of energy?

(a) Joule

(b) newton metre

(d) Kilowatt hour

Answer:

Explanation:

44. Two particles of masses 1g and 4g have equal kinetic energies. What is the ratio between their momenta?

(a) 1:4

(b) 1:8

(d) 1:16

Answer:

Explanation:

Momentum

p = \sqrt{2mK}

. If kinetic energy

K

is constant,

p \propto \sqrt{m}

. Thus,

p_1 : p_2 = \sqrt{1} : \sqrt{4} = 1 : 2

45. The frequency of a source is 20 kHz. The frequencies of the sound waves produced by it in water and air will

(a) be the same as that of the source

(b) depend upon the velocity of the waves in these media

(d) depend upon the density of the media

Answer:

Explanation:

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JMI 11th Science Entrance Paper 2026 Answer Key

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