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A loaded grocery cart is rolling across a parking lot. You apply a constant force F=(30N)i - (40N)j to the cart as it undergoes a displacement s=(-9.0m)i - (3.0m)j. How much work does the force you apply do on the grocery cart?


use a proper and explanation to derive the equation of the frequency of vibration w=(k/m)^1/2


Find the optical density and transmittance of 0.04% -lactose solution, if 1⁄8 of initial light intensity is absorbed in it. 



4. A learner investigates one of the wave phenomena. He places a red filter in front of a straight 

filament lamp and observes the light through a SINGLE SLIT from a distance of 2 m.


The learner records the following observation: 

“A broad central red band and to its sides alternate dark and red bands of different widths.”

1. Explain the occurrence of red and dark bands. (2)

The learner now replaces the red filter with a blue filter and repeats the experiment. 

2.How will the broadness of the blue bands compare to that of the red bands? Write down 

BROADER THAN, NARROWER THAN or EQUAL TO. Explain the answer.


What is the critical angle for total internal reflection at the interface between diamond and air?


A beam of light in air strikes a plate of crown glass at an angle of incidence of 40°. What is the angle of refraction?


What is the wavelength of light in glass of refractive index 1.52 if the wavelength in vaacum is 0.0000000064m?


an eighteen gauge copper wire has a nominal diameter of 1.02mn.this wire carries a constant current of 1.67a to a 200w lamp.the density of free electrons is 8.5×10^28 electrons per cubic metre find magnitude of the current density and the drift velocity


10. Complete the gaps in the dialogue below with an appropriate word only.

Doctor: What can I do for you?

Patient: I've got a terrible headache.

Doctor: Let me take your________.It's 39⁰-that's high.

Patient : Well, I feel quite hot.

Doctor: You have got flu. You should drink a lot of water or orange juice.

Patient: OK.

Doctor: And you have to take these tablets three _______before meals.

Patient: OK. What about school?

Doctor: You should stay at _________for a couple of days. I will give you a note for your teacher. It's no problem.

Patient: Thank you very much.


An object is kept 1.5m in front of a flat mirror.

a) How far is the image from the mirror?

b) Calculate the distance between the image and the object.


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