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General PhysicsSubjective Problems

LEVEL-I

2. 60 ×  12 = 720 days

3. Density =3

872.2g= 3.5g/cc

25cm

4. V =34 r 

3

π  ⇒  2dv 4

rh

dr 3

= π

2

3

dv 4 r dr 3dr  

4V r r 

3

π= =

π

v 3 r 

V r 

∆ ∆=

% = 3 × 3×0.1

×100 = 5.7%5.3

5. = 6 2 ! "

r r − +

= #$2−2 

Dimensi&ns &' ! = #$8−2

Dimensi&n &' " = #$4−2

"hatnagar (()*/+# !cademy. ,)5- ama +ar-ttamnagar- e Dehi

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LEVEL - II

2. = $ #(

ω

= #$2

−2

 $ = #$−2$ = #$2−1 

= −1 

( = #$2ω = −1

21 #$ = ω

∴ # = −3 

# = −4.

3. =V

( &g = &gV −&g(

V (

V (

∆ ∆ ∆= +

= 8V

(= Ω

V ( 0.1 1 0.8 1 1.8 = =

V ( 2.5 20 20 20 20

∆ ∆+ =

∆ =1.8

8 = 0.7220

×

= 8 ± 0.72 Ω 

4. = 2π$

g

&g = &g2π  ( )1 1

&g$ &g g2 2

−

g 1 $ 1

2 $ 2 g∆∆ ∆± = ± ±

g 2 $

g $

∆ ± ∆ ∆± = ±

( )g

2× yg

 ∆= ÷

 

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5. = 9am:ac 

9 =2 2 2

1 3 2

2 2

m #$ $# $

g #

−− −

−

−= =

= #)a$3a)2a#:$c 

a =1

2− ; 3a c = 0

−a : = 0

a = : =1

2−

=3 / 2a

9#

= λ

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!bjective Problems

LEVEL - I

1. y = > !?tress >?train !

= =∆ ∆l

l l l

=

2

1 2

2

#$ $#$

$ $

−

− −   =

 

2.   η => 1

 ! dv d@=

2

1 1

2 1

#$ $#$

$ $

−

− −

−

  =

4.

3@ 1 

2 2 2 2

1 2

#$ d$ $

#$

−−− + −

− −

°     = = = ÷    

hAs- @ =

1

2−

6. ! = πr 2

⇒   ( ) ! r 

2 2 1% 2% ! r 

∆ ∆= = =

8. g =2

24

π

l

g 2

g

∆ ∆ ∆  = + ÷  

l

l

g 2 2 1= 4%g

∆ = ×

B. ∝  l% 1

% 2

∆ ∆=

  lQ

l

12=1%

2

∆= ×

12. ,&ACe = '&rce × CerCendicAar distance

= #$

−2

× $ = #$2

−2

13. @ =2

3

a:

c

@ a 2: 3 c

@ a : c

∆ ∆ ∆∴ = + +

@1% 6% 6% =13%

@

∆=

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15. !verage vaAe =7.15 7.2 5 6.7

= 7.0*3

17.   τ  i have dimensi&n &' time- dimensi&n &' η = #$−1−1

∴  1 1m #

6 r  #$ $− −∴ =πη   ×  =

20. =V

(-

( V1% 2% = 3%

( V

∆ ∆ ∆= + =

LEVEL - II

4.

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21 1

+ 11 1

1At at

s 12v A att t 2

+= = +   ( ) ( )

17 6 10m / s

2= + =

LEVEL - III

4. 6Geat Cr&dAced G is given :y

2( tG

*=

∴ G t *

2G t *

∆ ∆ ∆ ∆ ∆= + + −

 I 

 I 

G t *100 2 100 100 100 100

G t *

∆ ∆ ∆ ∆ ∆  × = × + × + × − × ÷  

 I 

 I 

>&r ma@imAm Cercentage err&r-G *

100 2 100 100 100 100G *

∆ ∆ ∆ ∆ ∆× = × + × + × + ×

 I t 

 I t 

= 2 × 2% 1% 1% 0% = 6%.

5. 5

eative density =a

a

H

H H−&r    a

W

wρ =

Hhere ρ is reative density- Ha eight in air and is &ss in eight.

a

a

W   w

W w

∆∆ρ ∆= −

ρ>&r ma@imAm err&rI

a

a

W   w

W w

∆∆ρ ∆= +

ρ>&r ma@imAm Cercentage err&rI

a

a

H   100 100 100

H

∆∆ρ ∆× = × + ×

ρ

9ivenI aW 0.1 gmf  ∆ =   and Ha = 10.0 gm' = 10.0 J 5.0 = 5.0 gm'

a 0.1 0.1 0.2 gm'  ∆ = ∆ + ∆ = + =

∴  0.1 0.2

100 100 100 1 4 5%10.0 5.0

∆ρ    × = × + × = + = ÷ ÷ρ    

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