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You need to login to ask any Questions from chapter Thermal-Expansion of Physics-Model-Exam

Chapter:

Thermal-Expansion

1.
The momentum of particle is `vec P=2 cos ta hat i+ 2sin ta hat j`, n angle between `vec F` and `vec P` is

`45^0` `90^0` `150^0` `180^0`

`90^0`

Solution:

Here, `vec P=2 cos ta hat i+ 2sin ta hat j`

Now,

`vec F=(d vec P)/(dt)`

`=-2 sin ta hat i+ 2 cos ta hat j`

Now, `vec P*vec F= (2 cos ta hat i+ 2sin ta hat j)*(-2 sin ta hat i+ 2 cos ta hat j)`

`=-4 sin ta cos ta + 4 sin ta cos ta`

`=0`

Thus, `vec P` is perpendicular to `vec F`.

Hint Answer

2.
The minimum number of collinear vectors of unequal magnitudes giving zero resultant is

1 2 3 4

3

Answer

3.
What is maximum number of rectangular components into which a vector can be resolved in space ?

2 3 4 infinite

3

Answer

4. What is resolved form for a vector which is 5 units in long and is inclined at an angle of 45 degrees to X axis?

\(\frac{1}{\sqrt{2}}\hat{i} + \frac{1}{\sqrt{2}}\hat{j}\) \(\frac{5}{\sqrt{2}}\hat{i} + \frac{5}{\sqrt{2}}\hat{j}\) \(\frac{5}{\sqrt{2}}\hat{i} + \frac{15}{\sqrt{2}}\hat{j}\) \(\frac{10}{\sqrt{2}}\hat{i} + \frac{10}{\sqrt{2}}\hat{j}\)

\(\frac{5}{\sqrt{2}}\hat{i} + \frac{5}{\sqrt{2}}\hat{j}\)

The standard for is a(cos &ta; î + sin &ta; ĵ). Here, a = 5, and &ta; = 45 degrees. When we substitute this in equation, we get, resolved vector as \(\frac{5}{\sqrt{2}}\hat{i} + \frac{5}{\sqrt{2}}\hat{j}\).

Hint Answer

5. The operation used to obtain a scalar from two vectors is __

Cross product Dot product Simple product Complex product

Dot product

Dot product of two vectors gives a scalar quantity as output. Cross product gives a vector as output. It is also known as scalar product.

Hint Answer

6. Adding 2î + 7ĵ and î + ĵ gives __

3î + 8ĵ î + 35ĵ î + 8ĵ 2î + 7ĵ

3î + 8ĵ

When 2î + 7ĵ is added to î + ĵ, corresponding components get added. Hence, answer is 3î + 8ĵ.

Hint Answer

7. A vector can be resolved along __

Only one direction Only two directions Only three directions Only in independent directions

Only in independent directions

A vector can be resolved in number of components. But, number of components has to be equal to number of independent directions available. It can only be resolved into independent directions no matter how many y are.

Hint Answer

8.
The minimum number of co-planar vectors of unequal magnitudes whose vectors sum can be zero is

2 3 4 any

3

Answer

9.
What is maximum number of rectangular components into which a vector can be resolved in its own plane ?

2 3 4 infinite

2

Answer

10.
When two vectors `vec a` and `vec b` of magnitudes `a` and `b` are added toger, n magnitude of resultant vector is never

equal to `a+b` equal to `a-b` equal to `root()(a^2+b^2)` greater than `a+b`

greater than `a+b`

Solution:

Since `a-b <=|vec a + vec b|<=a+b`, ir resultant can never be greater than `a+b`

Hint Answer

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Topics

This Chapter Thermal-Expansion consists of the following topics

Vector and Scalars Tutorial mcqs

The momentum of particle is `vec P=2 cos ta hat i+ 2sin ta hat j`, n angle between `vec F` and `vec P` is

The minimum number of collinear vectors of unequal magnitudes giving zero resultant is

What is maximum number of rectangular components into which a vector can be resolved in space ?

What is resolved form for a vector which is 5 units in long and is inclined at an angle of 45 degrees to X axis?

The operation used to obtain a scalar from two vectors is __

Adding 2î + 7ĵ and î + ĵ gives __

A vector can be resolved along __

The minimum number of co-planar vectors of unequal magnitudes whose vectors sum can be zero is

What is maximum number of rectangular components into which a vector can be resolved in its own plane ?

When two vectors `vec a` and `vec b` of magnitudes `a` and `b` are added toger, n magnitude of resultant vector is never

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