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Class 10 Class 12
A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time is proportional to:
• (i) t1/2
•  (ii) t
• (iii) t3/2
• (iv) t2

C.

(iii) t3/2
As

Power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2
As

Power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2

Tips: -

As

Power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2
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Is work a scalar or a vector quantity?

Work is dot product of two vectors. i.e. .

And dot product is a scalar quantity. Therefore, work is a scalar quantity.
1450 Views

What is watt?

SI unit of power is Watt.
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Define the unit joule.

Work done is said to be one joule if one newton of  force displaces the body through a distance of one meter in the direction of applied  force .
799 Views

What are different units of energy?

The different units of energy are :

(i) Joule
(ii) Erg
(iii) eV
(iv) KWh
(v) Calorie.

804 Views

Define watt.

Power is said to be one watt if one joule of work is done in one second.
860 Views