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1. Question

Why does the symbol c usually represent speed of light in vacuum? Choose the best possible option.

(A) Einstein used the symbol c first time in his equation
(B) Einstein used the symbol c first time in his equation
(C) c is the initial letter of the word celeritas, the Latin word meaning speed
(D) c is the initial letter of the word calculus

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1. Question

A nuclear fusion lab requires very high temperature for the fusion reaction to take place. Mr X says, "The temperature at Sun's surface is around 6000 K. We can use advanced lenses/mirrors to focus Sun's rays and get temperature much higher than 6000 K. Mr Y disagrees. Who is right?

Correct

Mr X is wrong as his statement does not take into account the second law of thermodynamics. It is not possible to get higher temperature than 6000 K as heat cannot flow from low temperature to high temperature.

Incorrect

Mr X is wrong as his statement does not take into account the second law of thermodynamics. It is not possible to get higher temperature than 6000 K as heat cannot flow from low temperature to high temperature.

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1. Question

Match the following (multiple matches are possible) in the context of rolling motion:

Column I

Column II

(A) Angular Momentum =
(B) Kinetic Energy =
(C) Kinetic Energy =
(D) v_{cm}=Rω

(p) Pure rolling
(q) Rolling
(r) Pure rotation about the point of contact

Note: Do not leave any blank space and type in alphabetical order. Type alphabets without ( or ) symbols.

A-(pq), B-(pq), C-(pr), D-(pr)

Correct

Angular momentum and kinetic energy results are valid for all types of rolling motions. However, v_{CM}=Rω is valid only for pure rolling motion but not for any other rolling motion. Pure rolling motion can be visualised as instantaneous rotational motion about the point of contact in which case kinetic energy can also be given by .

Incorrect

Angular momentum and kinetic energy results are valid for all types of rolling motions. However, v_{CM}=Rω is valid only for pure rolling motion but not for any other rolling motion. Pure rolling motion can be visualised as instantaneous rotational motion about the point of contact in which case kinetic energy can also be given by .

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1. Question

A point charge q is placed in front of a conducting solid cube of edge a at a distance d from its centre (d > a/2). What is the magnitude of electric field at the centre of the cube due to the charges appearing on its surface?

A)

B)

C) 0

D)

E) None of the options given

Correct

Net electric field inside a conductor is zero.

Hence, field due to q should get cancelled by the field due to the induced charges.

Field due to q =

Field due to the induced charges should be equal to the above in magnitude but opposite in direction.

Incorrect

Net electric field inside a conductor is zero.

Hence, field due to q should get cancelled by the field due to the induced charges.

Field due to q =

Field due to the induced charges should be equal to the above in magnitude but opposite in direction.

Hint

Net electric field inside a conductor is zero.

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