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天津市2020年高中物理学业水平等级性考试模拟试题七2020061001136

天津市2020年高中物理学业水平等级性考试模拟试题七2020061001136
天津市2020年高中物理学业水平等级性考试模拟试题七2020061001136

天津市2020年高中物理学业水平等级性考试模拟试题(七)

本试卷分选择题和非选择题两部分,满分100分

第Ⅰ卷(选择题)

注意事项:

每小题选出答案后,填入答题纸的表格中,答在试卷上无效。 本卷共8题,每题5分,共40分。

一、选题题(每小题5分,共25分。每小题给出的四个选项中,只有一个选项是正确的)

1.中国散裂中子源(CSNS )已通过验收,它是探测物质微观结构和运动的重要科研装置。有关中子的研究,下列说法正确的是( )

A .β衰变的实质在于核内的中子转化成了一个质子和一个电子

B .一个氘核和一个氚核经过核反应后生成氦核和中子是裂变反应

C .卢瑟福通过分析α粒子散射实验结果,发现了质子和中子

D . Th 核发生一次α衰变,新核与原来的原子核相比,中子数减少了4

2.如图所示描述了封闭在某容器里的理想气体在温度a T 和b T 下的速率分布情况,下列说法正确的是( )

A .a b T T >

B .随着温度升高,每一个气体分子的速率都增大

C .随着温度升高,气体分子中速率大的分子所占的比例会增加

D .若从a T 到b T 气体的体积减小,气体一定从外界吸收热量

3.一理想变压器原、副线圈匝数比为3:1,原线圈与小灯泡D 串联后,接入一电压有效值恒定的正弦交流电源;副线圈电路中连接可变电阻R 和电流表,电流表内阻不计,如图所示。若改变R 的阻值,使电流表的示数变为原来的两倍。则( )

A .小灯泡D 的亮度变暗

B .副线圈的电压变小

C .R 的阻值大于原来的一半

D .变压器的输入功率变为原来的两倍

4.我们的银河系的恒星中大约四分之一是双星.某双星由质量不等的星体S 1和S 2构成,两星在相互之间的万有引力作用下绕两者连线上某一定点C 做匀速圆周运动.由天文观察测得其运动周期为T ,S 1到C 点的距离为r 1,S 1和S 2的距离为r ,已知引力常量为G .因此可求出S 2的质量为( ) A .

()2212

4πr r r GT

-

B .2212

4πr GT C .2312

4πr GT D .2212

4πr r GT

5.如图甲所示,水平面上一质量为m 的物体在水平力F 作用下开始加速运动,力F 的功率P 保持恒定,运动过程中物体所受的阻力f 大小不变,物体速度最终达到最大值max v ,此过程中物体速度的倒数

1

v

与加速度a 的关系图象如图乙所示。仅在已知功率P 的情况下,根据图象所给信息可知以下说法错误的是( )

A .2max 1s 0m /v =

B .30

m P =

C .图象的斜率为

f P

D .f =0.1P

二、选择题(每小题5分,共15分。每小题给出的四个选项中,都有多个选项是正确的。全部选对的得5分,选对但不全的得3分,有选错或不答的得0分)

6.波长为1λ和2λ的两束可见光分别入射到同一个双缝上,可在光屏上观察到干涉条纹,其中波长为1λ的光的条纹间距小于波长为2λ的条纹间距。则(下列表述中,下标“1”和“2”分别代表波长为1λ和2λ的光所对应的物理量)( )

A .这两束光的波长1λ>2λ

B .这两束光从玻璃射向真空时,其临界角12

C C <

C .若这两束光都能使某种金属发生光电效应,则遏止电压12c c U U >

D .若这两束光由氢原子从不同激发态跃迁到n=2能级时产生,则相应激发态的电离能12

E E ?>? 7.两列在同一介质中的简谐横波沿相反方向传播,某时刻两列波相遇,如图所示,其中实线波的频率为2.50Hz ,图示时刻平衡位置x =3m 处的质点正在向上振动。则下列说法正确的是( )

A .实线波沿x 轴正方向传播,虚线波沿x 轴负方向传播

B .两列波在相遇区域发生干涉现象

C .两列波的波速均为25m/s

D .从图示时刻起再过0.025s ,平衡位置x =1.875m 处的质点将位于y =30cm 处

8.如图所示,竖直平面内有水平方向的匀强电场E ,A 点与B 点的连线垂直电场线,两个完全相同的带等量正电荷的粒子,以相同大小的初速度v 0分别从A 和B 点沿不同方向开始运动,之后都能到达电场中的N 点,粒子的重力不计,下列说法正确的是( )

A .两粒子到达N 点所用的时间可能相等

B .两粒子到达N 点时的速度大小一定相等

C .两粒子在N 点时的动能可能小于各自初始点的动能

D .两粒子整个运动过程机械能的增加量一定相等

第Ⅱ卷(非选择题)

注意事项:

请用黑色墨水的钢笔或签字笔将答案写在答题纸相应的范围内。

解答题应写出必要的文字说明、方程式和重要的演算步骤,只写出最后答案的不能得分。有数值计算的,答案中必须明确写出数值和单位。

本卷共4题,共60分。

9.(12分)

(1)图甲是“研究平抛物体运动”的实验装置图,通过描点画出平抛小球的运动轨迹.

①以下是实验过程中的一些做法,其中合理的有________.

a.安装斜槽轨道,使其末端保持水平

b.每次小球释放的初始位置可以任意选择

c.每次小球应从同一高度由静止释放

d.为描出小球的运动轨迹,描绘的点可以用折线连接

②实验得到平抛小球的运动轨迹,在轨迹上取一些点,以平抛起点O为坐标原点,测量它们的水平坐标x 和竖直坐标y,图乙中y-x2图象能说明平抛小球运动轨迹为抛物线的是________.

③图丙是某同学根据实验画出的平抛小球的运动轨迹,O为平抛的起点,在轨迹上任取两点A、B,测得A、B两点纵坐标y1=5.0cm,y2=45.0cm,A、B两点水平间距Δx=40.0cm.则平抛小球的初速度v0为_______ m/s。

(2)电流传感器可以像电流表一样测量电流。不同的是它的反应非常快,可以捕捉到瞬间的电流变化。此外,由于它与计算机相连,还能显示出电流随时间变化的I-t图像。如图甲所示连接电路。直流电源电动势8V,内阻可忽略,电容器可选几十微法的电解电容器。先使开关S与1端相连,电源向电容器充电,这个过程可在短时间内完成。然后把开关S掷向2端,电容器通过电阻R放电,传感器将电流信息传入计算机,屏幕上显示出电流随时间变化的I-t图像,一位同学得到的I-t图像如图乙所示。

①在图乙I-t图中用阴影标记了一个竖立的狭长矩形(在图的1s附近),这个阴影面积的物理意义是

_______________。

②根据I-t图像可估算电容器在全部放电过程中释放的电荷量为 __________________。

③如果不改变电路其他参数,只增大电阻R,充电时I-t曲线与横轴所围成的面积将___________(填“增大、不变、变小”);充电时间将_______________(填“变长、不变、变短”)。

10.(14分)如图所示,水平光滑导轨足够长,导轨间距为L,导轨间分布有竖直方向的匀强磁场,磁感应强度为B,导轨左端接有阻值为R的电阻,电阻两端接一理想电压表。一金属棒垂直放在导轨上,其在轨间部分的电阻也为R。现用一物块通过跨过定滑轮的轻绳从静止开始水平牵引金属棒,开始时,物块距地

面的高度为h ,物块落地前的一小段时间内电压表的示数稳定为U 。已知物块与金属棒的质量相等,不计导轨电阻和滑轮质量与摩擦,导轨始终与金属棒垂直且紧密接触。求:

(1)金属棒的最大速度v ; (2)物块的质量m ;

(3)棒从静止开始到物块刚要落地的过程中,电阻R 上产生的热量Q 。

11.(16分)如图所示,一倾角037α=、长度4S m =的固定斜面,其底端与长木板B 上表面等高,B 静止在粗糙水平地面上,左端与斜面接触但不粘连,斜面底端与木板B 的上表面接触处圆滑。一可视为质点的小滑块A 从斜面顶端处由静止开始下滑,最终A 刚好未从木板B 上滑下。已知A 、B 的质量相等,A 与斜面的动摩擦因数10.5μ=,A 与B 上表面间的动摩擦因数2

0.4,B μ=与地面间的动摩擦因数

230.1,10/g m s μ==,00sin 370.6,cos370.8==。求:

(1)当A 刚滑上B 的上表面时的速度0v 的大小; (2)木板B 的长度L ;

12.(18分)实验宣中常用粒子加速器来获得高速粒子,某两级串列加速器外形设计酷似“U"型,其结构如图所示,其中ab 、cd 为底面为正方形的长方体加速管,加速管长为L ,底面边长为0

r 且两加速管底面在同

一平面内。两加速管中心轴线间的距离为019r D =,加速管内有和轴线平行的匀强电场。端面b 、d 的下方

区域存在垂直两加管轴线平面的匀强磁场,磁感强度大小为B 。现将速度很小的一价带负电粒子均匀地从a 端面输入,在ab 管中被加速后,垂直进入匀强磁场,到达d 处时,可被设在d 处的特殊装置将其电子剥离(粒子速度不变,特殊装置大小可忽略),成为三价正粒子,沿轴线进入的粒子恰能沿两加速管轴线加速,已知b 、d 两端电势相等,a 、c 两端电势相等,元电荷为e ,该粒子质量为m ,不计粒子重力及粒子间相互作用力。

(1)试求a 、b 两端面之间的电势差;

(2)仅改变加速管电压,则粒子在加速器中经历的最短时间是多少;

(3)实际工作时,磁场可能会与设计值B 有一定偏差B ?,而会以B B -?至B B +?间的某一确定值工作,若要求至少有90%的粒子能成功加速,试求偏差B ?的最大值。

参考答案

9、【答案】

(1)ac c 2.0

(2)通电0.2秒充入电容(流过电阻R )的电荷量 (1.4~1.8)?10-3

不变 变长

10、【解析】

(1)设金属棒的最大速度v ,根据法拉第电磁感应定律可得:=E BLv 根据欧姆定律可得:

2E

I R

=

U IR =

联立解得金属棒的最大速度:2U

v BL

= (2)根据欧姆定律可得:U I R

=

对棒分析,根据平衡条件可得:mg F =安 而:F

=BIL

联立解得物块的质量:BUL

m gR

=

(3)棒从静止开始到物块刚要落地的过程中,由能量守恒可得:21

()2

mgh m m v Q =

++总 电阻R 上产生的热量:1

=2

Q Q 总322BULh U R BLgR =- 11、【解析】

(1)设A 物块从斜面下滑过程中加速度大小为1a ,由牛顿第二定律和运动学公式得:

11sin cos mg mg ma αμα-=,

2

012v a S =,

或2

101sin cos 2

mgS mgS mv αμα-=

得04/v m s =;

(2)A 物块滑上B 后,A 与B 上表面间的摩擦力22f mg μ=,B 与地面间的最大静摩擦力

33232,f mg f f μ=>,故A 先做匀减速运动,B 先做匀加速运动;当A 、B 共速后保持相对静止共同减速直

至静止。木板B 的长度为A 、B 共速时二者的位移差。设A 、B 共速时的速度为v ,

22mg ma μ=,2332mg mg ma μμ-=,

02v v a t =-,3v a t =,

22

0222v v a x -=-,2332v a v =,

或222201122mgx mv mv μ-=

-,()22331

22

mg mg x mv μμ-=, 20mgt mv mv μ-=-,()232mg mg t mv μμ-=,

得234

3

L x x m =-=。 12、【解析】

(1)粒子在加速管中的运动有:2

12

eU m v = 在磁场中运动有:2

evB m r

v =,2

D r =

得到:22

8e U m

D B =

(2)改变电势差后:'

2112m eU v =

,'22211122

3m m eU v v =- 粒子在加速管离运动的时间:11

12

22L

L

t v

v v =

+

+ 在磁场中运动的时间:212

T t =,2m

T qB π=

,12t t t =+ 若使t 最小,应使1v 最大,此时:'

2

D r r +=

联立上述可得:0415L m

t eB r π??=+ ?

???

(3)按磁场设计值工作时,粒子在磁场中轨迹半径2r D =,要求至少90%的粒子能实现加速 若磁场'

B 变弱,则有

'

20.1D

r r

-<

若磁场'

B 变强,则有'

20.1D r

r

-<

所以:max

191

B

B

<

?。

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