For a frequency distribution, 7th decile is computed by the
formula :

Consider two electric field lines on a transverse wave. one field line is up, and a moment later, another is down. What is produced as a result of this changing electric field?

A woman stands at a horizontal distance x from a mountain and measures the angle of elevation of the mountaintop above the horizontal as 𝜃. After walking a distance d closer to the mountain on level ground, she finds the angle to be 𝜑. Find a general equation for the height y of the mountain in terms of d, 𝜑, and 𝜃, neglecting the height of her eyes above the ground.

Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun
is 1.5 × 1011m. Consider the impact of an asteroid of mass 8.9 ×1015 kg and a speed of 90,000
km/h with respect to the Earth’s surface. The asteroid strikes the Earth at the equator as shown
in Figure. Consider the mass and radius of the Earth are ME = 5.97 × 1024 kg and RE = 6.38
×106 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each
other.

(a) Calculate the axial and total angular momentum of the Earth. (4 marks)
(b) What is the change in the angular velocity of the Earth due to the collision? (6 marks)
(c) What is the maximum possible change in the length of a day due to the collision?
(3 marks)
(d) How much energy is needed to stop the Earth’s rotation about its axis after the collision?
(4 marks)
(e) What would be the moment of inertia of the Earth if the axis of rotation is parallelly
shifted so that it touches the equator?

Is there any advantage in having the archegonia and antheridia mature at different times on the same fern gametophyte? Explain briefly.

Of what use is it to know what kind of growth pattern on an agar slant or a broth medium and organism has?

A cube of ice (n = 1.31) sits in an unknown liquid. Light in the liquid hits the ice at an angle of 35.0° and refracts to an angle of 41.1°. What is the index of refraction of this liquid?