A body is said to be under forced vibrations, when

Statement: Resonance is a special case of forced vibration in which the nature and frequency of vibration of the body are the same as the impressed frequency and the amplitude of forced vibration, is maximum. Reason: The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.

A

Both statement and reason are true and the reason is the correct explanation of the statement

B

Both statement and reason are true but the reason is not the correct explanation of the statement

C

Statement is true, but the reason is false

D

Statement and reason are false

In steady state forced vibrations, the amplitude of vibrations at resonance is __________ damping coefficient.

A

Equal to

B

Directly proportional to

C

Inversely proportional to

D

Independent of

In steady state forced vibrations, the amplitude of vibrations at resonance is _____________ damping coefficient.

A

equal to

B

directly proportional to

C

inversely proportional to

D

independent of

Consider the following the statements 1. The oscillation of a particle with fundamental frequency under the influence of restoring force is defined as forced oscillations 2. The oscillation of a body whose amplitude goes on decreasing with time is defined as damped oscillation. 3. The oscillation in which a body oscillates under the influence of an external periodic force is known as forced oscillation. Which of the following statements is/are correct?

A

Only 1

B

Both 1 and 2

C

Both 1 and 3

D

Both 2 and 3

In which of the following case we can surely say that the body A is charged: a) When a positively charged body is kept near to body A and it gets attracted b) When a negatively charged body is kept near to body A and it gets attracted c) When a positively charged body is kept near to body A and it gets repelled

A

Only in case a the body A is surely charged

B

Only in case b the body A is surely charged

C

Only in case c the body A is surely charged

D

In all the cases a, b and c the body A is surely charged

In a town fair 50 people were asked which dessert they liked: ice cream, Donuts, or cupcakes. 28 said they like ice cream, 26 said they like donuts, and 26 said they like cupcakes. 8 said they like all three. 17 said they like donuts and cupcakes, 11 said they like ice cream and cupcakes. 5 said they do not like any of these. Find those people who liked ice cream and donuts but not cupcakes.

A

10

B

7

C

5

D

9

E

None of the above

True breeding Drosophila flies with curved wings and dark bodies were mated with true breeding short wings and tan body Drosophila, The F₁ progeny was observed to be with curved wings and tan body. The F₁ progeny was again allowed to breed and produced flies of the following phenotype, 45 curved wings tan body, 15 short wings tan body, 16 curved wings dark body and, 6 short wings dark body. The mode of inheritance is

A

Typical Mendelian with curved wings and tan body being dominant

B

Typical non-Mendelian with curved wings and tan body not following any pattern

C

Mendelian with suppression of phenotypes

D

Mendelian with single crossover

If 'banana' is said 'apple', 'apple' is said 'grapes', 'grapes' is said 'mango', 'mango' is said 'cashew', 'cashew' is said 'guava', 'guava' is said 'papaya' then which fruit is known as the king of fruits?

A

Cashew

B

Mango

C

Apple

D

Grapes

The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body and $$\delta $$ = Static deflection of the body)

A

$$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{s}}}{{\text{m}}}} $$

B

$$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{g}}}{\delta }} $$

C

$$\frac{{0.4985}}{{\sqrt \delta }}$$

D

Any one of these

When a system is subjected to forced vibrations, then under steady-state conditions

A

it vibrates at its natural frequency

B

it vibrates at the imposed frequency

C

it vibrates at the mean of natural and imposed frequencies

D

none of these

A body is said to be under forced vibrations, when

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