a) The stem of a vibrating tuning fork is placed on top of a table. The table
begins to vibrate. A glass kept on the table also begins to vibrate with a large
amplitude and in a few moments it breaks.
1) Name the type of vibrations which are produced in the table.
2) Why does the glass kept on the table break? Name the phenomenon
observed here.
[2]
Answers
Answer:
We want to show that ∆ ART ≅∆ PEN and we have to use SSS criterion. We have AR = PE and RT = EN. What more we need to show?
A AT = PN
B AT = PE
C AT = EN
D none of these
7: We want to show that ∆ XYZ ≅∆ PQR. We have to use SAS criterion. We have ∠ Z = ∠ R, YZ = QR. What more we need to show?
A YZ=PQ
B XY=PQ
C XZ=PQ
D XZ=PR
8: Two figures are congruent,if they have
A same name
B equal measures
C Unequal measures
D none of these
9: In ∆ABC and ∆PQR, AB= 4cm,BC=5cm,AC=6cm and PQ=4cm,QR=5cm,PR = 6cm,then which of the following is true ?
A ∆ABC ≅ ∆QRP
B ∆ABC ≅ ∆PQR
C ∆ABC ≅ ∆PRQ
D ∆ABC ≅ ∆QPR
10: What is the side included between the angles A and B in ∆ABC
A side AB
B side BC
C side CA
D none of these
11: What is the angle included between the side PN and PM of ∆MNP
A <N
B <P
C <M
D none of these
12: In triangles ABC and DEF , AB = 7cm,BC= 5cm,<B = 50°, DE= 5cm,EF= 7cm,<E=50°. By which congruence rule the triangles are congruent
A SSS
B RHS
C ASA
D SAS
13: Equivalent fraction having common denominator of y/2b and y^2/3b is
A (y,2y^2)/6b
B (3y,2y^2)/b
C (3y,2y^2)/6b
D (3y,y^2)/6b
14: On Dividing 2a^3 + 10 - 16a - 39a^2 + 15a^4 by 2-4a-5a^2, we get quotient as
A 5+2a-3a^2
B 5-2a-3a^2
C 5-2a+3a^2
D none of these
15: On simplifying 5x/3 + 3x/4 - 7x/6 ,we get
A 15x/4
B 5x/12
C 5x/4
D 2x/3
16: If ∆ DEF≅ ∆ ABC ,then what is the value of 'y' when DE= 20cm and AB = 2y+8 ?
A 6cm
B 7cm
C 8cm
D 9cm
17: On Dividing m^3 – 14m^2 + 37m – 26 by m^2 – 12m + 13, we get quotient as
A m – 2
B m+2
C m^2 +2
D m^2 - 2
18: ∆ PRQ ≅ ∆ LMN.If PQ=6cm,PR=7cm and <P=75°,,LM=7cm and QR=MN,then what is the value of <L and NL ?
A <L=65°, NL=6cm
B <L=75°, NL=6cm
C <L=75°, NL=5cm
D <L=65°, NL=5cm
19: On dividing 2y^5 + 10y^4 + 6y^3 + y^2 + 5y + 3 by ( 2y^3 + 1), we get quotient as
A y^2 - 5y + 3
B y^2 + 5y + 3
C y^2 + 5y - 3
D none of these
20: Equivalent fraction having common denominator of 1/xy , 1/yz, 1/zx is:
A y,x,z/xyz
B x,y,z/xyz
C z,x,y/xyz
D none of these
21: On simplifying d^2x/dy^2 - 2dx/dy + 2xy/3y^2 ,we get
A 3(x+4y)/3y^2
B 3(x+4y)/y^2
C 3(x+y)/3y^2
D 3(x-4y)/3y^2
22: Simplification of 3x - a^2/4y is
A (12xy+a^2)/4y
B (12xy-a^2)/4y
C (12xy-a^2)/y
D (12xy-a^2)/2y
23: ∆ XYZ ≅ ∆ RST. If <Y = 3x-10° and <S = 80°, then x is equal to :
A 90°
B 60°
C 30°
D 180°
24: On dividing x^5 + x^4 + x^3 + x^2 + x + 1 by x^3 + 1, we get quotient as
A x^2 + x + 1
B x^2 -x + 1
C x^2 + x -1
D x^2 - x -1
25: On dividing 14x^3 – 5x^2 + 9x – 1 by 2x – 1 , we get
A Q=7x^2 + x - 5.
B Q=7x^2 + x + 5 and R= 4.
C Q= 7x^2 - x + 5
D Q
vibrations produced are oscilitary